Method for measuring elasticity modulus and shear modulus of functionally graded material rod and shaft
A technology of functionally graded materials and modulus of elasticity, applied in the direction of testing material strength by applying stable shear force, testing material strength by applying stable tension/pressure, etc., can solve problems such as inability to obtain functions, and the method is simple and convenient Effect
Inactive Publication Date: 2012-07-18
SHANGHAI MARITIME UNIVERSITY
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[0003] When evaluating the performance of a certain material, it is easy for homogeneous materials to predict the intrinsic physical properties of the material by measuring the elastic deformation of the material without any damage to the material; but for functionally graded materials, due to The modulus is not a constant value, and a specific function cannot be obtained. The elastic modulus of the distribution can only be obtained by measuring the displacement of each node (converting the strain) by a certain method
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Embodiment 1
[0046] see figure 1 As shown, a straight rod of functionally graded material with known length and cross-sectional area (such as divided into 20 units) is subjected to a horizontal tension F with known magnitude and direction, and the leftmost end of the rod is fixed; the displacement of each node can be measured , use the formula (7) to obtain the strain and then substitute it into the formula (2), the change law of the elastic modulus can be known.
[0047] see figure 2 As shown, for a straight circular axis of functionally graded material with known length and cross-sectional area (such as dividing 20 units), it is acted by a torque T with known magnitude and direction, and the leftmost end of the axis is fixed; each node can still be determined Displacement, using formula (8) to get the strain and substituting it into formula (4), we can know the change law of shear modulus.
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The invention discloses a method for measuring elasticity modulus and shear modulus of a functionally graded material rod and a functionally graded material shaft. The method comprises the following steps: considering the elasticity modulus and the shear modulus as functions of the length direction of the rod and the shaft and discretizing the rod and the shaft along the length direction; under the condition of guaranteeing that the discretized unit meets an equilibrium equation, establishing the relationship between the elasticity modulus and displacement as well as the relationship between the shear modulus and a corner at the unit node position respectively; and after measuring the displacement and the corner at the unit node position respectively, obtaining the elasticity modulus and the shear modulus which are discretely distributed. By the method, the intrinsic physical properties of the material can be predicted only by measuring the elastic deformation of the material and without damaging the material. The method is simple and convenient and can be implemented by one digital strain gauge in a lab.
Description
technical field [0001] The invention relates to a measuring method, in particular to a measuring method for elastic modulus and shear modulus of functionally graded material rods and shafts. Background technique [0002] Elastic modulus is an essential parameter for material design and structural design. For homogeneous materials, the elastic modulus is a constant, which is easy to measure; for functionally graded materials, the elastic modulus is a function of spatial coordinates, and it is relatively difficult to measure; It is assumed to be some specific function, such as the e-exponential function, and there are relatively few studies on the real distribution of the elastic modulus of the material. No public reports have been seen. [0003] When evaluating the performance of a certain material, it is easy for homogeneous materials to predict the intrinsic physical properties of the material by measuring the elastic deformation of the material without any damage to the ...
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IPC IPC(8): G01N3/08G01N3/24
Inventor 施伟辰杨小姜
Owner SHANGHAI MARITIME UNIVERSITY