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Elastic fracture simulation method based on dual boundary element and strain energy optimization analysis

An elastic fracture and simulation method technology, applied in the field of physical simulation, can solve the problems of inability to represent singularity results, the efficiency of the finite element method is reduced, and the convergence rate of the finite element method is affected, so as to simplify the calculation of parameters and improve the calculation efficiency.

Active Publication Date: 2018-11-06
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

Method used

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  • Elastic fracture simulation method based on dual boundary element and strain energy optimization analysis
  • Elastic fracture simulation method based on dual boundary element and strain energy optimization analysis
  • Elastic fracture simulation method based on dual boundary element and strain energy optimization analysis

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Embodiment Construction

[0036] The present invention proposes an elastic fracture simulation method based on dual boundary element 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 for piecewise smooth surfaces

[0038] Step (1), use 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 the Kelvin basic solution formed by the distance between the source point and the field point at the boundary of the domain U ij And T ij The Kelvin basic solution represents the displacement of the field point after being affected by the material after a unit load is applied at the source point. When the field point approaches the source point, the basic solution U ij It has weak singularity (Weak Singularity), and this kind of weak singularity can be transformed by P...

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Abstract

The invention proposes an elastic fracture simulation method based on a dual boundary element and strain energy optimization analysis. The two basic problems related to three-dimensional linear elastic fracture are handled. A model containing an overlapped cleft surface is expressed by using a dual boundary element method, and a super-singular boundary integral equation is solved by using a semi-analytic method. The continuous attribute from the contact load and released by the strain energy at the front end of the crack is represented by introducing a contact force model. A fracture factor ofthe extension distance of the crack is calculated within the fracture duration to perform accurate control on the extension of the cracking end.

Description

Technical field [0001] The invention belongs to the field of physical simulation technology, and specifically relates to an elastic fracture simulation method based on dual boundary element 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 application. Researchers bring basic solutions for different applications into Boundary Integral Equations (BIEs), making the boundary element method capable of dealing with various applications (especially in the infinite field and open surfaces). [0003] In terms of fracture simulation, Dual Boundary Element Method (Dual-BEM) applies traditional displacement boundary integral equations (Displacement BIEs) on one side of the crack, and applies independent force to the other side of the crack. Boundary integral equations (Traction BIEs) to solve the problem of overlapping crack surfaces. Dual-BEM only di...

Claims

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/23
Inventor 李帅崔柳杨晨于洋
Owner QINGDAO RES INST OF BEIHANG UNIV
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