Numerical method and system for simulating crack tip stress field

A crack tip, crack simulation technology, applied in the field of computer processing, can solve the problems of insufficient stability, low simulation and calculation accuracy, etc.

Active Publication Date: 2020-06-12
CHINA SPECIAL EQUIP INSPECTION & RES INST
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Problems solved by technology

[0006] In order to solve the above-mentioned problems in the prior art, the present disclosure provides a numerical method and system for simulating the stress field at the crack tip, which solves the problems of low accuracy and insufficient stability in the simulation and calculation of the stress field at the crack tip area in the prior art

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  • Numerical method and system for simulating crack tip stress field
  • Numerical method and system for simulating crack tip stress field
  • Numerical method and system for simulating crack tip stress field

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[0093] In order to better explain the present disclosure and facilitate understanding, the present disclosure will be described in detail below through specific implementation manners in conjunction with the accompanying drawings.

[0094] All technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this disclosure belongs. The terms used herein in the description of the present disclosure are for the purpose of describing specific embodiments only, and are not intended to limit the present disclosure. As used herein, the term "and / or" includes any and all combinations of one or more of the associated listed items.

[0095] In the relevant embodiments of the present disclosure, the extended finite element method and the generalized finite element method propose a new idea to solve the crack problem, that is, the characteristic basis function is introduced into the function approximation based on the un...

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Abstract

The embodiment of the invention relates to a numerical method and system for simulating a crack tip stress field, and the method comprises the steps: employing two-dimensional geometric description inparameter coordinates of a crack tip region, and obtaining a two-dimensional geometric description formula of the crack tip region according to a crack curve and a circumferential boundary curve; converting the two-dimensional geometric description formula into a displacement approximate expression of a crack tip region by utilizing a one-dimensional basis function in a xi direction and a one-dimensional basis function in an eta direction; converting an expression of a virtual displacement principle into a weak form in a crack tip region based on a linear elasticity problem equation; obtaining a solving equation formed by a rigidity matrix, a force vector and a displacement vector according to the displacement approximate expression in combination with a weak form; and solving a variableto be solved according to the solving equation, and obtaining a stress field of the crack tip region based on solving of the variable to be solved and the like. According to the invention, the crack tip stress field can be accurately simulated, the stress solution can gradually converge to an accurate solution, and the precision and stability of numerical simulation are improved.

Description

technical field [0001] The present disclosure relates to the field of computer processing technology, and in particular to a numerical method and system for simulating the crack tip stress field. Background technique [0002] The study of crack problems is of great significance to ensure the safe operation of engineering structures. Correspondingly, the related numerical methods for solving crack problems have become an active research field. Although the finite element method has achieved great success in solving various engineering problems, it is not effective for analyzing discontinuity problems such as cracks and / or singular problems. [0003] The meshless method developed in recent years does not depend on the mesh, and can easily analyze the problem of moving discontinuity such as crack propagation, but the solution accuracy of the crack problem is still not ideal. [0004] Based on the above, the simulation and calculation of the stress field in the crack tip region...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/20
CPCY02T90/00
Inventor 刘亚男丁克勤张继旺
Owner CHINA SPECIAL EQUIP INSPECTION & RES INST
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