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Piecewise-Linear Elastic-Plastic Stress-Strain Relations

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Mathematical Programming Methods in Structural Plasticity

Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 299))

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Abstract

A matrix description for piecewise-linear models of inviscid. isothermal plastic behaviour is presented. A geometric interpretation of the plasticity conditions is used to illustrate the role of the intervening constitutive operators. A matrix description for incremental elastic-plastic stress-strain relations is presented and processed next through mathematical programming theory to illustrate its capacity for generating variational interpretations and statements of qualification regarding the existence, uniqueness and stability of elastoplastic solutions.

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Authors and Affiliations

  1. Istituto Superior Tecnico, Lisbon, Portugal

    J. A. Teixeira de Freitas

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  1. J. A. Teixeira de Freitas
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Editors and Affiliations

  1. Imperial College, London, UK

    D. Lloyd Smith

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© 1990 Springer-Verlag Wien

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Teixeira de Freitas, J.A. (1990). Piecewise-Linear Elastic-Plastic Stress-Strain Relations. In: Smith, D.L. (eds) Mathematical Programming Methods in Structural Plasticity. International Centre for Mechanical Sciences, vol 299. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2618-9_6

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  • DOI: https://doi.org/10.1007/978-3-7091-2618-9_6

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-82191-6

  • Online ISBN: 978-3-7091-2618-9

  • eBook Packages: Springer Book Archive

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