Computational Mechanics

, Volume 39, Issue 6, pp 743–760

A Meshfree Method based on the Local Partition of Unity for Cohesive Cracks

Authors

    • Institute for Numerical MechanicsTechnical University of Munich
  • Goangseup Zi
    • Department of Civil and Environmental EngineeringKorea University
Original Paper

DOI: 10.1007/s00466-006-0067-4

Cite this article as:
Rabczuk, T. & Zi, G. Comput Mech (2007) 39: 743. doi:10.1007/s00466-006-0067-4

Abstract

We will present a meshfree method based on the local partition of unity for cohesive cracks. The cracks are described by a jump in the displacement field for particles whose domain of influence is cut by the crack. Particles with partially cut domain of influence are enriched with branch functions. Crack propagation is governed by the material stability condition. Due to the smoothness and higher order continuity, the method is very accurate which is demonstrated for several quasi static and dynamic crack propagation examples.

Keywords

Extended element-gree Galerkin method (XEFG)CracksCohesive modelsDynamic fracture

Copyright information

© Springer Verlag 2006