Computation based on Meshfree local support

Galerkin framework

Background integration mesh

MLS meshfree approximation 

  • Continuum mechanics

  • Displacement approximation field with first order accuracy

  • Rational function with high order smoothness

Nonlocal approach

  • Peridynamics nonlocal theory

  • Discrete Galerkin framework

  • Bond force computed for pair of integration points within horizon (meshfree support)