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^*

^*Corresponding author for this work

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

472 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
General Engineering
Applied Mathematics

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10.1002/nme.2013

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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.",

keywords = "Cohesive models, Cracks, KL constraint, Meshfree methods, Shell",

author = "T. Rabczuk and Areias, \{P. M.A.\} and T. Belytschko",

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AU - Rabczuk, T.

AU - Areias, P. M.A.

AU - Belytschko, T.

PY - 2007/10/29

Y1 - 2007/10/29

N2 - 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.

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.

KW - Cohesive models

KW - Cracks

KW - KL constraint

KW - Meshfree methods

KW - Shell

UR - https://www.scopus.com/pages/publications/35448993291

U2 - 10.1002/nme.2013

DO - 10.1002/nme.2013

M3 - Article

AN - SCOPUS:35448993291

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VL - 72

SP - 524

EP - 548

JO - International Journal for Numerical Methods in Engineering

JF - International Journal for Numerical Methods in Engineering

IS - 5

ER -

A meshfree thin shell method for non-linear dynamic fracture

Abstract

Keywords

ASJC Scopus subject areas

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