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Bi-material V-shaped incision stress intensity factor calculation method

A technology of stress intensity factor and calculation method, which is applied in the direction of calculation, design optimization/simulation, special data processing application, etc., and can solve problems such as complex implementation

Inactive Publication Date: 2018-04-24
HOHAI UNIV
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Problems solved by technology

[0004] The calculation of stress intensity factors generally includes direct method and indirect method. The direct method puts the stress intensity factor directly as an unknown quantity into the displacement array, and directly obtains the stress intensity factor when solving the linear equation system. However, compared with the indirect method, it is often difficult to realize quite complicated

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  • Bi-material V-shaped incision stress intensity factor calculation method
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  • Bi-material V-shaped incision stress intensity factor calculation method

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Embodiment Construction

[0087] The technical solutions of the present invention will be described in detail below in conjunction with the accompanying drawings.

[0088] The invention provides a method for calculating the stress intensity factor of a double-material V-shaped notch based on extended finite element (XFEM) and conservative integrals, which does not need to consider the notch boundary and material interface when dividing the finite element grid, which improves the grid division The efficiency of solving the stress intensity factor has nothing to do with the selected integration path, and can obtain good accuracy. It provides a good reference for studying the fracture problem of dual-material V-shaped notch.

[0089] Technical scheme of the present invention is as follows:

[0090] (1) According to the characteristic equation of the double-material V-shaped notch, the Müller method is used to calculate the eigenvalues, because this method can quickly obtain the eigenvalues ​​of the solut...

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Abstract

The invention discloses a bi-material V-shaped incision stress intensity factor calculation method. According to a characteristic equation of a bi-material V-shaped incision, a Muller method is adopted to calculate a characteristic value; according to the type of the characteristic value, a displacement expression of the bi-material V-shaped incision is obtained; an extended finite element displacement mode and a control equation of the bi-material V-shaped incision are built; the control equation is solved, and finally, through conservative integration, a stress intensity factor is calculated. According to the method, during finite element mesh dividing, the incision boundary and the material interface do not need to be taken into consideration, so that the efficiency of mesh generation is improved; meanwhile, stress intensity factor solving has nothing to do with a selected integration path so that good precision can be obtained.

Description

technical field [0001] The invention belongs to the field of composite materials and fracture mechanics, and in particular relates to a calculation method of a double-material V-shaped notch stress intensity factor. Background technique [0002] V-shaped notch problems exist in a large number of practical projects, such as the heel of gravity dams in water conservancy and hydropower projects, the joints of beams and columns in civil engineering, the tooth roots of gears in mechanical engineering, and the joints of aircraft wings. Due to the strong stress singularity near the tip of the V-shaped notch, it is very likely to promote cracks and cause the fracture of the V-shaped notch, which is a serious threat to the safety of the structure. Therefore, the stress of the V-shaped notch The determination of the intensity factor is very important to assess the safety of the incision. Due to the complexity of the incision problem, only a few problems have analytical solutions. Num...

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/23
Inventor 余天堂易高
Owner HOHAI UNIV
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