A Simulation Method for Elastic Fracture Based on Dual BEM and Strain Energy Optimal Analysis

A technology of elastic fracture and simulation method, applied in the field of physical simulation, can solve problems such as inability to express singularity results, decrease in efficiency of finite element method, affect convergence rate of finite element method, etc., and achieve the effect of improving calculation efficiency and simplifying parameter calculation

Active Publication Date: 2022-04-05
QINGDAO RES INST OF BEIHANG UNIV +1
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Problems solved by technology

For the large-scale mesh caused by the subdivision mesh operation at the gap, the efficiency of the finite element method will be greatly reduced, and the low-quality mesh will even affect the convergence rate of the finite element method
Not only that, the shape function of the traditional finite element method cannot represent the singularity results, how to represent the singular stress is a big challenge for the finite element method

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  • A Simulation Method for Elastic Fracture Based on Dual BEM and Strain Energy Optimal Analysis
  • A Simulation Method for Elastic Fracture Based on Dual BEM and Strain Energy Optimal Analysis
  • A Simulation Method for Elastic Fracture Based on Dual BEM and Strain Energy Optimal Analysis

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Embodiment Construction

[0036] The present invention proposes an elastic fracture simulation method based on dual boundary elements and strain energy optimization analysis. The principle of the present invention will be introduced below in conjunction with specific method steps.

[0037] 1) Dual boundary element method modeling of piecewise smooth surface

[0038] Step (1), using the Betfi-Somigliana equation to establish a boundary integral equation for the area Ω of the target model. The boundary integral equation at the source point is formed by the Kelvin basic solution U of the distance between the source point and the field point of the domain boundary ij and T ij where Kelvin's basic solution represents the displacement at the field point after applying a unit load (Unit Load) at the source point and being affected by the material. When the field point approaches the source point, the basic solution U ijWith weak singularity (WeakSingularity), this kind of weak singularity can be transforme...

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Abstract

The invention proposes an elastic fracture simulation method based on dual boundary element and strain energy optimization analysis, and handles two basic problems related to three-dimensional linear elastic fracture. The model with overlapping cracked surfaces is represented by using the dual boundary element method, and a semi-analytical method is used to solve the supersingular boundary integral equations. The continuum properties from contact loading and strain energy release at the crack front are represented by introducing a contact force model. Precise control of the propagation of the crack tip is achieved by calculating the fracture factor for the distance the crack propagates over the duration of the fracture.

Description

technical field [0001] The invention belongs to the technical field of physical simulation, in particular to an elastic fracture simulation method based on dual boundary elements and strain energy optimization analysis. Background technique [0002] As a powerful numerical calculation tool, the boundary element method has been widely used in many fields of engineering applications. By bringing the basic solutions for different applications into Boundary Integral Equations (Boundary IntegralEquations, BIEs), the BEM has the ability to deal with various applications (especially in infinite fields and open surfaces). [0003] In terms of fracture simulation, the Dual Boundary Element Method (Dual-BEM) applies the traditional displacement boundary integral equations (Displacement BIEs) on one side of the crack, and applies an independent force on the other side of the crack. Boundary Integral Equations (Traction BIEs) are used to solve the problem of overlapping cracked surface...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F30/23G06F111/10
CPCG06F30/23
Inventor 李帅崔柳杨晨于洋
Owner QINGDAO RES INST OF BEIHANG UNIV
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