A meshfree thin shell method for non-linear dynamic fracture

T. Rabczuk; P. M.A. Areias; T. Belytschko

doi:10.1002/nme.2013

A meshfree thin shell method for non-linear dynamic fracture

T. Rabczuk, P. M.A. Areias, T. Belytschko

College of Engineering

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

403 Citations (Scopus)

Abstract

A meshfree method for thin shells with finite strains and arbitrary evolving cracks is described. The C¹ displacement continuity requirement is met by the approximation, so no special treatments for fulfilling the Kirchhoff condition are necessary. Membrane locking is eliminated by the use of a cubic or quartic polynomial basis. The shell is tested for several elastic and elasto-plastic examples and shows good results. The shell is subsequently extended to modelling cracks. Since no discretization of the director field is needed, the incorporation of discontinuities is easy to implement and straightforward.

Original language	English
Pages (from-to)	524-548
Number of pages	25
Journal	International Journal for Numerical Methods in Engineering
Volume	72
Issue number	5
DOIs	https://doi.org/10.1002/nme.2013
Publication status	Published - 2007 Oct 29

Keywords

Cohesive models
Cracks
KL constraint
Meshfree methods
Shell

ASJC Scopus subject areas

Numerical Analysis
Engineering(all)
Applied Mathematics

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10.1002/nme.2013

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AB - A meshfree method for thin shells with finite strains and arbitrary evolving cracks is described. The C1 displacement continuity requirement is met by the approximation, so no special treatments for fulfilling the Kirchhoff condition are necessary. Membrane locking is eliminated by the use of a cubic or quartic polynomial basis. The shell is tested for several elastic and elasto-plastic examples and shows good results. The shell is subsequently extended to modelling cracks. Since no discretization of the director field is needed, the incorporation of discontinuities is easy to implement and straightforward.

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KW - Cracks

KW - KL constraint

KW - Meshfree methods

KW - Shell

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A meshfree thin shell method for non-linear dynamic fracture

Abstract

Keywords

ASJC Scopus subject areas

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