Engineering

Philosophy

Materials science

Displacement (psychology)

Set (abstract data type)

Discontinuity (linguistics)

Computer science

Simple (philosophy)

Classical mechanics

Physics

Psychology

Mathematics

Cracking

Statics

Psychotherapist

Epistemology

Mathematical analysis

Geometry

Composite material

Numerical analysis

Structural engineering

Kinematics

Programming language

Computer Methods in Applied Mechanics and Engineering

A new robust and efficient approach for modeling discrete cracks in meshfree methods is described. The method is motivated by the cracking-particle method (Rabczuk T., Belytschko T., International Journal for Numerical Methods in Engineering, 2004) where the crack is modeled by a set of cracked segments. However, in contrast to the above mentioned paper, we do not introduce additional unknowns in the variational formulation to capture the displacement discontinuity. Instead, the crack is modeled by splitting particles located on opposite sides of the associated crack segments and we make use of the visibility method in order to describe the crack kinematics. We apply this method to several two- and three-dimensional problems in statics and dynamics and show through several numerical examples that the method does not show any “mesh” orientation bias.

A simple and robust three-dimensional cracking-particle method without enrichment