Isotropic damage analysis of frictional contact problems using quadratic meshless boundary element method

The nonlocal thermo‐hydro‐mechanical model for cracking behaviors of quasi‐brittle materials in the framework of advanced general particle dynamics

“…Meshless method does not require mesh reconstruction when dealing with discontinuous problems and large deformation problems. The commonly used meshless methods mainly include Smoothed Particle Hydrodynamic method (SPH), [30][31][32][33][34] moving least square approximation method (MLS), 35 and Reproducing Kernel Particle Method (RKPM). [36][37][38] RKPM has been applied to many large deformation problems, and it requires appropriate kernel support coverage of neighboring nodes to ensure kernel stable.…”

“…30,31 Meshless methods, which can avoid the dependence of meshing during deformation, have been widely employed to study the crack propagation behaviors. 32,33 The meshless method currently developed is mainly based on point approximation by using different shape functions for integration, partially or completely eliminating the computational inconvenience caused by meshes. Meshless method does not require mesh reconstruction when dealing with discontinuous problems and large deformation problems.…”

A Smooth System of Equations Approach to Complementarity Problems for Frictionless Contacts

“…Roughly speaking, numerical algorithms can be classified into three categories. The first class is known as direct iterative algorithm [8][9][10][11], which assumes the contact region and contact status firstly and then solves the problem and checks whether the assumption is correct or not. It solves the problem iteratively by trial-and-error, thus requiring much computational effort; the second class is contact constraint algorithm [12][13][14], which deals with the contact boundary properly, and transforms the constrained optimization problem into nonconstrained optimization problem.…”