Penny-shaped crack simulation with a single high order smooth boundary element

DOI10.1016/J.ENGANABOUND.2020.12.019zbMath1464.74276OpenAlexW3115087289MaRDI QIDQ2223983

Zhao Guo, Donghong He, Hang Ma

Publication date: 3 February 2021

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2020.12.019

zbMATH Keywords

penny-shaped crackstress intensity factorhyper-singular integralhigh order smooth boundary elementnear hyper-singular integralt-stress

Mathematics Subject Classification ID

Brittle fracture (74R10) Boundary element methods applied to problems in solid mechanics (74S15) Stress concentrations, singularities in solid mechanics (74G70) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (3)

Analysis of multi-crack propagation by using the extended boundary element method ⋮ A bounded randomly variable shape multi-quadric interpolation method in dual reciprocity boundary element method ⋮ A SFBEM-FEM coupling method for solving crack problems based on Erdogan fundamental solutions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An adaptive element subdivision technique for evaluation of various 2D singular boundary integrals
• Efficient solution of multiple cracks in great number using eigen COD boundary integral equations with iteration procedure
• An effective method for numerical evaluation of general 2D and 3D high order singular boundary integrals
• High order isoparametric elements in boundary element method -- smooth elliptical element
• Numerical fracture mechanics
• A general algorithm for the numerical evaluation of nearly singular boundary integrals of various orders for two- and three-dimensional elasticity
• Three-dimensional asymptotic stress field in the vicinity of the circumference of a penny shaped discontinuity.
• Nearly singular approximations of CPV integrals with end- and corner-singularities for the numerical solution of hypersingular boundary integral equations.
• Hybrid meshless displacement discontinuity method (MDDM) in fracture mechanics: static and dynamic
• BIE fracture mechanics analysis: 25 years of developments
• High order isoparametric elements in boundary element method -- smooth spheroidal element
• A novel triangular boundary crack front element for 3D crack problems based on 8-node serendipity element
• Some axially symmetric stress distributions in elastic solids containing penny-shaped cracks I. Cracks in an infinite solid and a thick plate
• On boundary integral equations for crack problems
• A General Algorithm for Multidimensional Cauchy Principal Value Integrals in the Boundary Element Method
• A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations
• A numerical green's function approach for boundary elements applied to fracture mechanics
• Three‐dimensional crack analysis using singular boundary elements
• Numerical solution of three-dimensional crack problem by using hypersingular integral equation

This page was built for publication: Penny-shaped crack simulation with a single high order smooth boundary element