Discontinuous modelling of shear bands using adaptive meshfree methods

T. Rabczuk; E. Samaniego

doi:10.1016/j.cma.2007.08.027

Discontinuous modelling of shear bands using adaptive meshfree methods

T. Rabczuk, E. Samaniego

College of Engineering

Research output: Contribution to journal › Article › peer-review

131 Citations (Scopus)

Abstract

A simple methodology to model shear bands as strong displacement discontinuities in an adaptive meshfree method is presented. The shear band is represented by a displacement jump at discrete particle positions. The displacement jump in normal direction is suppressed with penalty method. Loss of material stability is used as transition criterion from continuum to discontinuum. The method is two- and three-dimensional. Examples of complicated shear banding including transition from brittle-to-ductile failure are studied and compared to experimental data and other examples from the literature.

Original language	English
Pages (from-to)	641-658
Number of pages	18
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	197
Issue number	6-8
DOIs	https://doi.org/10.1016/j.cma.2007.08.027
Publication status	Published - 2008 Jan 15

Keywords

Loss of hyperbolicity
Meshfree methods
Shear bands
Traction-separation laws

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
Physics and Astronomy(all)
Computer Science Applications

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10.1016/j.cma.2007.08.027

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AB - A simple methodology to model shear bands as strong displacement discontinuities in an adaptive meshfree method is presented. The shear band is represented by a displacement jump at discrete particle positions. The displacement jump in normal direction is suppressed with penalty method. Loss of material stability is used as transition criterion from continuum to discontinuum. The method is two- and three-dimensional. Examples of complicated shear banding including transition from brittle-to-ductile failure are studied and compared to experimental data and other examples from the literature.

KW - Loss of hyperbolicity

KW - Meshfree methods

KW - Shear bands

KW - Traction-separation laws

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ER -

Discontinuous modelling of shear bands using adaptive meshfree methods

Abstract

Keywords

ASJC Scopus subject areas

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