An arbitrary lagrangian-eulerian finite element method for path-dependent materials

Wing Kam Liu; Ted Belytschko; Herman Chang

doi:10.1016/0045-7825(86)90097-6

An arbitrary lagrangian-eulerian finite element method for path-dependent materials

Wing Kam Liu^*, Ted Belytschko, Herman Chang

^*Corresponding author for this work

Mechanical Engineering

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

157 Scopus citations

Abstract

The conservation laws, the constitutive equations, and the equation of state for path-dependent materials are formulated for an arbitrary Lagrangian-Eulerian finite element method. Both the geometrical and material nonlinearities are included in this setting. Computer implementations are presented and an elastic-plastic wave propagation problem is used to examine some features of the proposed method.

Original language	English (US)
Pages (from-to)	227-245
Number of pages	19
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	58
Issue number	2
DOIs	https://doi.org/10.1016/0045-7825(86)90097-6
State	Published - Oct 1986

ASJC Scopus subject areas

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

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10.1016/0045-7825(86)90097-6

Cite this

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title = "An arbitrary lagrangian-eulerian finite element method for path-dependent materials",

abstract = "The conservation laws, the constitutive equations, and the equation of state for path-dependent materials are formulated for an arbitrary Lagrangian-Eulerian finite element method. Both the geometrical and material nonlinearities are included in this setting. Computer implementations are presented and an elastic-plastic wave propagation problem is used to examine some features of the proposed method.",

author = "Liu, {Wing Kam} and Ted Belytschko and Herman Chang",

note = "Funding Information: of this research by Army Research Office under contract no. DAAG29-84-K-0057",

year = "1986",

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AU - Liu, Wing Kam

AU - Belytschko, Ted

AU - Chang, Herman

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PY - 1986/10

Y1 - 1986/10

N2 - The conservation laws, the constitutive equations, and the equation of state for path-dependent materials are formulated for an arbitrary Lagrangian-Eulerian finite element method. Both the geometrical and material nonlinearities are included in this setting. Computer implementations are presented and an elastic-plastic wave propagation problem is used to examine some features of the proposed method.

AB - The conservation laws, the constitutive equations, and the equation of state for path-dependent materials are formulated for an arbitrary Lagrangian-Eulerian finite element method. Both the geometrical and material nonlinearities are included in this setting. Computer implementations are presented and an elastic-plastic wave propagation problem is used to examine some features of the proposed method.

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An arbitrary lagrangian-eulerian finite element method for path-dependent materials

Abstract

ASJC Scopus subject areas

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