Method for determining a support for an additively manufactured part

Abstract

A method of additive manufacturing a support for the additive manufacturing of a part, the method comprising the following steps: - (S1) determining a mesh of an interface between a head of the support and a face of the part intended to be in contact with the head, - (S2) determining, at each point of the mesh, a maximum force exerted by the part on the support, - (S3) determining at each point at least one local parameter of the head as a function of the maximum force, the determined parameter being a vertical dimension, a surface of a horizontal section, a shape of the section, an orientation or a surface density, and - (S7) additive manufacturing of the support so that the head has at each point the at least one determined parameter. Figure to be published for the abstract: Figure 4

Description

Title of the invention: Method for determining a support for an additively manufactured part DOMAIN

[0001] The invention relates to the determination of a support for an additively manufactured part and the manufacturing of the support and the part by additive manufacturing. STATE OF THE ART

[0002] For the additive manufacturing of a part, and in particular for additive manufacturing by laser fusion on a metal powder bed, it may be necessary to first manufacture a support for the part to ensure its stability throughout its manufacture. The support and the part may in particular be constructed one after the other in the manufacturing chamber, i.e., layer by layer, the support is manufactured, and in particular the interface between a body of the support and the part, then the part itself which thus rests on the support via the interface. The interface may be configured to give a breakable character to the connection between the part and its support and allow the separation of the part and its support, i.e., after manufacture, the support may be separated from the part by mechanically stressing it, for example using a clamp.

[0003] However, it takes a long time to find a satisfactory geometry for a support, in particular because numerous manufacturing tests are necessary to test and validate a support adapted to the part.

[0004] With regard to the state of the art, there is therefore a need to reduce the time taken to determine the geometry of such a support by reducing in particular the number of iterations necessary to achieve a support geometry providing the required mechanical and functional properties.

[0005] There is also a need to improve the quality of the residual surface of the part after removal of the support, particularly in the case of a breakable support.

[0006] Finally, in the case of functionalization of the part surfaces, for example to improve the properties of the part with respect to flows and / or thermal exchanges, there is a need to optimize the additive manufacturing of the part so as to improve this functionalization. EXPOSED

[0007] An aim of the present disclosure is to propose a method for determining a support for an additively manufactured part which is faster than in the prior art.

[0008] The aim is achieved by means of a method for additive manufacturing of a support for the additive manufacturing of a part, the method comprising the following steps:

[0009] - determination of a mesh of an interface between a head of the support and a face of the part intended to be in contact with the head during additive manufacturing of the part,

[0010] - determination, at each point of the mesh, of a maximum force exerted by the part on the support during the manufacture of the part, the maximum force being projected in a vertical direction passing through the point,

[0011] - determination at each point of at least one local parameter of the head as a function of the maximum force, the determined parameter being a vertical dimension, an area of a horizontal section, a shape of the section, an orientation or a surface density, and

[0012] - additive manufacturing of the support so that the head presents at each point the minus a specific parameter.

[0013] Such a method is advantageously and optionally supplemented by the following different characteristics taken alone or in combination:

[0014] -the at least one parameter comprises the surface area of the horizontal section and, at each point, the surface area is greater than or equal to a ratio of the maximum force to an elastic limit of a powder consolidated during the manufacture of the support;

[0015] - the at least one parameter comprises the density and, at each point, the density is pro portional to a ratio of the maximum force to an elastic limit of a consolidated powder during the manufacture of the support;

[0016] - the at least one parameter comprises the vertical dimension, the method comprising a step of determining at each point the vertical dimension as a function of an angle between a vertical direction and the direction perpendicular to the face passing through the point, the vertical dimension being advantageously determined according to a function of a cosine of the angle;

[0017] - the at least one parameter comprises the orientation, the method comprising a step of determination at each point of the orientation as a function of an angle between a vertical direction and the direction perpendicular to the face passing through the point;

[0018] - at each point, the surface decreases from the head of the support towards one face of the room; and

[0019] - the method further comprises a step of determining at each point one head parameters based on a predetermined complementary relief of the face.

[0020] The disclosure also relates to a method for additively manufacturing a part on a support manufactured using a method such as that presented above.

[0021] Such a method is advantageously and optionally supplemented by:

[0022] - a step of separating the support and the part; and

[0023] - the support being manufactured according to a method comprising a step of determining at each point of one of the parameters of the head as a function of a predetermined complementary relief of the face, the part being manufactured according to a process comprising on the one hand a step of separation of the support and the part and on the other hand after the separation, a step of functionalization of the face, the functionalization taking into account the complementary relief. DESCRIPTION OF FIGURES

[0024] Other characteristics and advantages will emerge from the following description, which is purely illustrative and non-limiting, and must be read in conjunction with the attached drawings in which:

[0025] [Fig.l]

[0026] [Fig.2]

[0027] [Fig.3] Figures 1, 2 and 3 are schematic representations of a part and a additive manufacturing support of the part;

[0028] [Fig.4] [Fig.4] is a schematic representation of a manufacturing process additive manufacturing of a part according to an exemplary embodiment, and an additive manufacturing support for the part; and

[0029] [Fig.5] [Fig.5] is a schematic representation of a complementary relief of the piece. DETAILED DESCRIPTION OF THE INVENTION

[0030] We are interested in the additive manufacturing of a part that requires support during its manufacture, in particular to ensure its stability, support and balance throughout its manufacture. The part may in particular be a turbomachine part, in particular an aircraft turbomachine part, such as a high-pressure turbine part and more precisely a high-pressure turbine distributor. The part may also be a turbine blade comprising aerodynamic surfaces. Additive manufacturing may be a laser fusion process on a metal powder bed (also known as "Laser Beam Melting" abbreviated to LBM), or any metal powder projection process of the laser fused metal deposition type (also known as "Laser Metal Deposition" abbreviated to LMD).

[0031] Before implementing the manufacture of the part 3, a face 10 of the part intended to be the first face manufactured is identified, that is to say the face which is located vertically at the bottom of the part during its manufacture.

[0032] With reference to [Fig.l], the part 3 is oriented relative to the vertical axis V so that the face 10 is located vertically at the bottom of the part 3. The vertical axis V is oriented upwards in [Fig.l].

[0033] The support 1 is intended to support the part throughout its manufacture, so that support 1 is below part 3 during this period.

[0034] The face 10 of the part 3 is located during manufacturing opposite the support 1. The support 1 can be manufactured during a sequence preceding the manufacturing sequence of the part or it can be manufactured with the part during the same additive manufacturing sequence. In all cases, the support 1 is manufactured before the part 3 to be able to support the part 3 during its manufacturing.

[0035] The support 1 comprises on the one hand a body 7 and on the other hand a head 5. The boundary 6 between the body 7 and the head 5 defines a three-dimensional surface. During the additive manufacturing of the part 3, the body 7 is located below the head 5, and the head 5 is the part of the support 1 which is in contact with the face 10 of the part 3. The head 5 and the face 10 define, during the additive manufacturing of the part 3, an interface 9 which is a three-dimensional surface.

[0036] From the geometry of the part and its orientation during manufacturing, the shape of the body 7 of the support 1 can be determined. In particular, it can be provided that the body 7 extends below any part of the face 10 of which an axis orthogonal to this part defines with the vertical axis V an angle less than or equal to 45°. In relation to [Fig.l], point P of face 10 is at the center of a part of face 10. This part defines a tangent plane T to face 10 at point P. The axis N, or direction N normal to face 10 at point P, passes through point P and is locally orthogonal to face 10, that is to say it is orthogonal to the tangent plane T. The axis N defines an angle 12 with the vertical axis V. When this angle 12 is less than or equal to 45°, then the support 7 extends below point P, that is to say that vertically above point P and below it there is material of the body 7.

[0037] The head 5 of the support can take different shapes and different geometries. To define these shapes and geometries, it is possible to define a mesh of the interface 9 and for each point of this mesh local parameters of the head 5. In particular, it is possible to define: - a digital mesh of interface 9, that is to say a mesh produced by digital tools such as a processor, and - for each point of this digital mesh of the local parameters of head 5, and in particular of the parameters of a digital model of head 5.

[0038] The digital model of the head 5 corresponds to digital data which gives a representation of the head 5 and in particular a representation which characterizes the geometry of the head 5 and the constraints which apply to the head 5.

[0039] A first local parameter is the surface area of a horizontal section of the head 3. In relation to [Fig.2], the head 5 may comprise different rods 20, 24, 26, 28, 30 which are cylinders of circular section, the axes of the cylinders being oriented vertically. The rods 20, 24, 26, 28, 30 may correspond to cylindrical studs. The studs can have a diameter between 0.2 mm and 2 mm.

[0040] A horizontal plane 16 is illustrated in [Fig.2]. This is a virtual plane which intersects the rod 20 along a section 14. The section 14 is circular and centered on the vertical axis of the cylinder defined by the rod 20. The surface of the section 14 can therefore constitute a local parameter of the head 5. In other words, for the point P of the face 10, point P which is part of the mesh, the surface of the local horizontal section of the head can be the surface of the section 14. If the mesh of the face 10 is defined with a pitch significantly smaller than one of the horizontal dimensions of the section 14, then the local parameter can be defined as a portion of the section 14, corresponding to a surface occupied by the material of the head 5 over a dimension less than or equal to the pitch of the mesh.

[0041] In this example, the head 5 comprises a repetition in space of a basic unit, namely a cylindrical rod of circular section. The basic unit is repeated between the body 7 of the support 1 and the face 10 of the part 3 with a size which varies locally, a spatial frequency which varies locally, etc.

[0042] The head 3 may comprise base units which are not cylindrical.

[0043] Thus, by way of example, in relation to [Fig. 3], the head 5 comprises different fins 32, 40, 42 which are essentially rectangular parallelepipeds extending vertically between the body 7 of the support 1 and the face 10 of the part 3 and horizontally across the face 10. A horizontal plane 36 is illustrated in [Fig. 3]. This is a virtual plane which cuts the fin 32 according to a section 34 which is essentially rectangular. Such fins extend horizontally in a main direction, referenced A in [Fig. 3], from one edge to the other of the face 10 over a length and in a transverse direction, referenced B in [Fig. 3], orthogonal to the main direction A over a width less than the length. The section 34 may be strictly rectangular or it may deviate from a strict rectangular shape. For example, the width of the fin can vary along the main direction.For example, the shape of the fin may match the shape of face 10 at both ends in the main direction A. The area of section 34 may constitute a local parameter of head 5. In other words, for point P of face 10, point P which is part of the mesh, the area of the local horizontal section of the head may be the area of section 34. Again, if the mesh of face 10 is defined with a pitch significantly smaller than one of the horizontal dimensions of section 34, then the local parameter may be defined as a portion of section 34, corresponding to an area occupied by the material of head 5 over a dimension less than or equal to the pitch of the mesh. In this example, head 5 comprises a repetition in space of a basic unit, namely a fin. The fins may be spaced 0.3 to 1 mm apart and have a thickness of between 0.1 mm and 2 mm.

[0044] It should be noted that using fins as the basic unit of the head 5 allows for better dimensional compliance with the part supported by the fins during its manufacture.

[0045] A second local parameter is the shape of the local horizontal section of the head 3. The head 3 may comprise cylindrical rods as illustrated in [Fig.2], or fins as illustrated in [Fig.3]. The shapes of the corresponding horizontal sections are discs or rectangles. Other shapes are possible such as squares, diamonds, hexagons or ellipses. The head 3 may further comprise several basic units of different shapes, for example fins associated with rods. Furthermore, three-dimensional textures may be used to produce the head 5. These textures may be more complex geometric shapes, random or based on a particular pattern such as a sinusoid, an image, etc.

[0046] A third local parameter is the local surface density of the head 3. This surface density can be defined in a horizontal surface 22 surrounding a point P of the mesh, as illustrated in [Fig.2]. The surface density is given by the fraction of the surface 22 occupied by material of the head 5. In the case of [Fig.2], the occupied surface is given by the surface of the rod sections 20, 24, 26, 28 and 30. In other words, the surface density is a local rate of surface occupation by the material of the head 5.

[0047] When the head 5 comprises a basic unit which is repeated in space, the surface density is given by the number of these units per unit of surface, that is to say their local frequency as well as by their local thickness.

[0048] A fourth local parameter is the vertical dimension of the head. This is the distance measured along the vertical axis V between the face 10 and the body 7 of the support 1, or in other words the vertical distance between the interface 9 and the boundary 6. This local distance corresponds to the local height of the head 3 in the vertical direction. This height being local, the vertical height of the head 3 can therefore vary from one place to another. This can advantageously vary between 0.1 mm and 2 mm, and even more advantageously between 0.15 and 1 mm.

[0049] In relation to [Fig.2], the vertical dimension of the head 5 at point P is given by the distance 18.

[0050] In relation to [Fig.3], the vertical dimension of the head 5 at point P is given by the distance 38.

[0051] A fifth local parameter is the local orientation of the head. This orientation corresponds to a local thrust direction of the head. The head 5 extends in this local thrust direction from the body 7 of the support 1 (or the boundary 6) to the face 10 of the part 3 (or the interface 9). The orientation can be defined as the difference between this local thrust direction and the vertical direction. This orientation corresponds to a zero angle in figures 2 and 3, but one can choose to impose a non-zero angle. For example, when the head 5 locally comprises a rod or a fin and a local orientation according to a non-zero angle, the rod or the fin is inclined relative to the vertical. It should be noted that the orientation is given by two angles: on the one hand a first angle between the local thrust direction and the vertical direction and on the other hand a second angle between the projection of the local direction in a horizontal plane and a horizontal reference direction. Advantageously, one can choose that the local thrust direction corresponds to a direction orthogonal to the face 10, that is to say that the local orientation of the head is equal to the angle between the normal direction N and the vertical direction V.

[0052] In relation to [Fig.4], we now present a method for the additive manufacturing of a support, for example a support 1 as we were able to present previously, that is to say a support necessary for the additive manufacturing of a part.

[0053] The method comprises the following steps.

[0054] During a first step SI, a mesh of the interface 9 is determined between the head 5 of the support 1 and a face 10 of the part 3 intended to be in contact with the head 5 during the additive manufacturing of the part. This step can be implemented by computer to define a digital mesh of the interface 9.

[0055] During a second step S2, a maximum force exerted by the part 3 on the support 1 during the manufacture of the part 3 is determined at each point of the mesh, the maximum force being projected in a vertical direction V passing through the point. Therefore, at each point P of the mesh: on the one hand, a maximum reaction force, and on the other hand, its projection onto the vertical direction V. Said projection can be designated as a vertical reaction force.

[0056] In relation to [Fig. 1], a stress applied by the part 3 to the support 1 has been represented by the vector Fv. The vector is directed downwards, for example, in the normal direction N to the face 10 at the point P. The stress Fv applied by the part 3 to the support 1 is essentially due to the thermomechanical contractions of the part 3. From this stress, the maximum force considered in the vertical direction V passing through the point P can be deduced by projecting the vector Fv onto the axis V. The vertical reaction force is then obtained, which is a scalar 13. The scalar 13 is a projection of the force onto the vertical axis V. This determination takes into account the stress exerted by the part on the support at different stages of the additive manufacturing of the part.At each stage, a new layer of the part is produced, and the force exerted by the part, or rather by the portion of the part produced at this stage, on the support at point P is then evaluated. The deformations of the part 3 can advantageously be taken into account: when the part of the layer that has just been melted contracts, it exerts a force on the lower part of the part already . manufactured. This local force can be propagated to interface 9 and a force field at interface 9 can be obtained for each layer produced. This force field is updated for each layer. The maximum force is then determined among all these evaluated forces. The determination can be carried out in particular by numerical simulation of the additive manufacturing process. It should be noted that, generally speaking, the forces are greater at the edge of face 10 than at its center. This step can be implemented by computer.

[0057] During a third step S3, at least one local parameter of the head 5 is determined at each point as a function of the maximum force. This step can be implemented by computer. More precisely, this determination is carried out as a function of the vertical reaction force, that is to say as a function of the projection of the maximum force in the vertical direction V.

[0058] The general idea is that the head 5 is more robust where the maximum forces are significant and less robust where the maximum forces are less significant. Determining a maximum force that is exerted locally at a point of the part on the support makes it possible to adjust the local geometry of the support as a function of this maximum force.

[0059] For example, when the local parameter is a surface of a horizontal section or a surface density, a function F can be used to correspond between a maximum force value and a value of the local parameter. This function F takes as a variable a maximum force value and produces a value of the local parameter. The function F is chosen to be increasing. The function F is for example a ramp, that is to say a straight line. The function F can alternatively have a curvature.

[0060] The support is thus sufficiently robust locally to keep the part stable throughout its manufacture. The support is determined more quickly and the number of manufacturing tests to test and validate a support adapted to the part is significantly reduced.

[0061] It should be noted that the determination of the local parameter of the head 5 takes into account the material which makes up the manufacturing powder, the type of manufacturing machine used and the melting parameters used. It is advantageous to take into account the material properties of the powder (composition) and the parameters of the melting process (temperature, laser power, scanning speed, etc.).

[0062] In a first example of determining the local parameter, the surface area of a local horizontal section can be determined so that at each point it is greater than or equal to a ratio of the maximum force to an elastic limit of the powder which is consolidated during the manufacture of the support. For example, the surface area is equal to the ratio of the maximum force to the elastic limit of the powder. In this way, the head can locally withstand the stress exerted by the part without

[0063]

[0064]

[0065]

[0066]

[0067]

[0068]

[0069]

[0070]

[0071] break. In the case where head 5 includes a stem at the mesh point, the value of the surface can then directly give the value of the radius. If we denote 0 / the diameter of the rod, the surface of the local horizontal section is worth ~ 4 If we denote the elastic limit of the powder and the maximum force, then we have the following relationships: In the case where the head 5 comprises a fin as shown in [Fig.3], the value of the surface area can give the width of the fin. In particular, when the width of the fin varies along the main direction, the value of the local surface area can give the value of the local width of the fin. In a second example of determining the local parameter, the surface density can be determined proportionally to the ratio of the maximum force to the elastic limit of the powder. In this way, the head can locally withstand the stress exerted by the part without breaking. According to a first option, and in a fourth optional step S4, the vertical dimension is determined at each point of the mesh as a function of the angle between a vertical direction and the direction perpendicular to the face passing through the point. The vertical dimension can even be advantageously determined by a function of a cosine of the angle. This determination makes it possible to take into account the depth of the weld pool of the bead and to find a vertical dimension making it possible to avoid a surplus of consolidated material which would bind the part and its manufacturing support. For example, it can be chosen that at point P the distance p separating the interface 9 and the boundary 6 along the direction N is given by a formula of the type p=[3cos(0)+Y, where 0 is the angle between the vertical direction and the direction perpendicular to the face passing through the point P, [3 and y being positive constants.This is equivalent to fixing the vertical dimension Dv indirectly by using Dv= p / cos(0) = [3+ (y / cos(0)). For example: - [3 can be greater than or equal to zero and less than or equal to 0.5 mm, and . - y Can be greater than or equal to zero and less than or equal to 0.5 mm. For [3 = 0.1 mm and y=0.2 mm, we obtain a length p=0.3 mm for an angle 0=30° and a length p=0.27 mm for an angle 0=45°. This step S4 can be implemented by computer. According to a second option, and in a fifth optional step S5, a local orientation of the head 5 is determined at each point of the mesh as a function of the angle between the vertical direction and the direction perpendicular to the face passing through the point. This step can be implemented by computer. The local orientation can be chosen to be exactly equal to this angle, so that the head extends locally from face 10 to body 7 of the support following the direction perpendicular to the face.

[0072] It should be noted that when the local orientation is modified so that it is not vertical, the horizontal section of the local surface of the head 5 increases. In this case, the local extension direction of the head 5 is no longer vertical but inclined. A local inclined direction of the head 5 is then defined. The criteria previously mentioned can be slightly adjusted: - the criterion relating to 'the area of the local horizontal section greater than or equal to a ratio of the maximum force to the elastic limit of the powder' can be adjusted by replacing the area of the local horizontal section by the area of the section orthogonal to the local inclined direction or - the criterion relating to 'the surface density proportional to this ratio' can be adjusted by replacing the surface density by the surface density evaluated locally in a plane orthogonal to the local inclined direction.

[0073] The head 5 is preferably breakable relative to the part 3. Furthermore, the head 5 may locally have a surface with a horizontal section which decreases as it approaches the face. In other words, by following the vertical direction or the local inclined direction from the body 7 of the support 1 towards the part 3, the horizontal section may decrease. This contributes to ensuring the breakable nature of the head 5.

[0074] Alternatively, provision may be made after manufacture to separate the head 5 from the part 3 by any appropriate method, for example by machining, in particular if the head is not natively separable relative to the part.

[0075] According to a third option, and in a sixth optional step S6, one of the local parameters of the head 5 is determined at each point of the mesh as a function of a predetermined complementary relief of the face 10. This step can be implemented by computer. By complementary relief of the face 10 is meant an optional relief that is given to the part 3 to functionalize the face 10. For example, one may wish to striate the face 10 so as to create gaps that extend in a particular direction and impose a particular direction of aerodynamic flow along the face 10 when the part 3 is in operation.

[0076] It is also possible to impose a thickening of the edges of the face 10 to reinforce them. Indeed, it is generally on the edges that the material is stressed most strongly in traction. The complementary relief is then preferably chosen so that its thickness evolves in an increasing manner from the center of the face towards the edges of the face. This example is illustrated in [Fig.5]. The part 3 is shown oriented so as to visualize the face 10. The surface S corresponds to the original surface of the face 10 without functionalization. This surface S corresponds to a sheet three-dimensional. A complementary relief R is represented. This relief corresponds to the addition of a thickness on the surface S. This thickness is zero at the center C of the surface S, so that at point C, the functionalized surface of face 10 coincides with the original surface. The thickness of the complementary relief R increases from the center C towards the edges of face 10. For example, at point D of the complementary relief located at the edge of face 10, a thickness 44 has been added compared to the original surface S.

[0077] To determine the local parameter of the head 5 as a function of the predetermined complementary relief of the face 10, it is possible to seek to partially reproduce the complementary relief in the head 5 itself. In other words, the local parameters of the head are adjusted so that the material of the head is distributed in accordance with a part of the complementary relief of the face 10 or with the entire complementary relief of the face 10. The relevant local parameters are in particular the surface area of the horizontal section and the surface density. In the example of an increasing thickness from the center of the face towards the edges of the face, it is possible in particular to impose a local density of head 5 which is also increasing from the center of the face 10 towards the outside.

[0078] During a seventh step S7, the support 1 is manufactured additively so that the head 5 has at each point the local parameter(s) which have been fixed according to the methods presented above.

[0079] Such a support can then be used to support the part during its manufacture. A method of manufacturing the part 3 is then implemented which comprises a step S 8 of additive manufacturing of the part 3.

[0080] Following this manufacturing, the method of manufacturing the part can advantageously be completed by a step S9 of separating the support 1 and the part 3. The support can be separated by mechanically stressing the head 5, for example using pliers. The head 5 preferably constitutes a breakable part which allows the detachment between the part and the support. A surface state of the face 10 is then obtained which is almost finalized after separation of the support and the part.

[0081] It should be noted that the method may comprise, after separation, a step S10 of functionalizing the face. This functionalization may in particular take into account the complementary relief R mentioned above when this has been used to determine one of the local parameters of the head. Indeed, upon separation of the part and the support, a particular shape of the head 5 may in part be left on the face 10. This residual surface is textured according to the local parameters of the head 5 which can be controlled at will. Thus, the face 10 may be pre-functionalized and the subsequent steps for completing the functionalization of the face 10 are shorter and simpler than if the face 10 had not been given a particular shape. This avoids certain machining steps, such as in particular leveling steps, and reduces the finishing time. Sandblasting or chemical etching steps may to quickly obtain final surfaces.

[0082] For example, if one wishes to give a complementary relief to the face 10 which increases from the center of the face 10 towards the outside, it is possible to impose a local head density 5 which also increases from the center of the face 10 towards the outside.

[0083] For example, if it is desired to give a complementary relief to the face 10 which is striated in a main direction, it is possible to require that the head 5 comprises fins and / or studs which extend or are distributed according to this main direction.

Claims

Claims

1. A method for additive manufacturing of a support (1) for the additive manufacturing of a part (3), the method comprising the following steps: - (S1) determining a mesh of an interface between a head (5) of the support (1) and a face (10) of the part (3) intended to be in contact with the head during the additive manufacturing of the part, - (S2) determining, at each point (P) of the mesh, a maximum force exerted by the part (3) on the support (1) during the manufacturing of the part, the maximum force being projected in a vertical direction (V) passing through the point, - (S3) determining at each point (P) at least one local parameter of the head (5) as a function of the maximum force, the determined parameter being a vertical dimension, a surface of a horizontal section, a shape of the section, an orientation or a surface density,and - (S7) additive manufacturing of the support (1) so that the head (5) has at least one determined parameter at each point (P).

2. The method of claim 1 wherein the at least one parameter comprises the area of the horizontal section and, at each point, the area is greater than or equal to a ratio of the maximum force to an elastic limit of a consolidated powder during the manufacture of the support.

3. A method according to any one of claims 1 or 2, wherein the at least one parameter comprises density and, at each point, the density is proportional to a ratio of the maximum force to an elastic limit of a consolidated powder during manufacture of the support.

4. Method according to any one of claims 1 to 3 in which the at least one parameter comprises the vertical dimension, the method comprising a step (S4) of determining at each point the vertical dimension as a function of an angle between a vertical direction and the direction perpendicular to the face passing through the point, the vertical dimension being advantageously determined according to a function of a cosine of the angle.

5. Method according to any one of claims 1 to 4 in which the at least one parameter comprises the orientation, the method comprising a step (S5) of determining at each point the orientation as a function of an angle between a vertical direction and the perpendicular direction. dicular to the face passing through the point.

6. Method according to claim 2 in which, at each point, the surface decreases from the head (5) of the support (1) towards the one face (10) of the part (3).

7. Method according to any one of claims 1 to 6 further comprising a step (S6) of determining at each point one of the parameters of the head as a function of a predetermined complementary relief of the face.

8. Method for additive manufacturing of a part (3) on a support (1) manufactured using a method according to one of claims 1 to 7.

9. Method according to claim 8 comprising a step (S9) of separating the support and the part.

10. Method according to claim 9, the support being manufactured according to claim 7, the method comprising after the separation, a step (S 10) of functionalization of the face (10), the functionalization taking into account the complementary relief.

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