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Finite strain analysis by a stress-function method

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Abstract

A finite element method for finite inelastic strain analysis of solids and structures is described. The method, which is based on a direct discretization of the equations of compatibility and angular momentum balance, represents a generalization of the mixed ‘stress function approach’ proposed for linear elasticity by de Veubeke (1975). It captures the main advantages of hybrid-stress, direct stiffness, and reduced integration finite element methods while avoiding their principal drawbacks. Examples are included which demonstrate important features of the method.

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Author notes

  1. K. W. Reed

    Present address: Center for the Advancement of Computational Mechanics, School of Civil Engineering, Georgia Institute of Technology, Atlanta, GA, USA

Authors and Affiliations

  1. Department of Engineering Mechanics, Southwest Research Institute, 6220 Culebra Road, San Antonio, TX, USA

    K. W. Reed & J. W. Cardinal

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  1. K. W. Reed
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  2. J. W. Cardinal
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Communicated by S.N. Atluri, April 17, 1986

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Reed, K.W., Cardinal, J.W. Finite strain analysis by a stress-function method. Computational Mechanics 2, 31–44 (1987). https://doi.org/10.1007/BF00282042

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  • DOI: https://doi.org/10.1007/BF00282042

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