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On elastic response of inelastic structures

Gawecki, A.

Convexity of elastic response regions in external load space for inelastic structures has been analyzed. Theoretical considerations have been carried out using the discrete matrix notation and piece-wise linear approximation proposed by Maier. A necessary condition for the non-convexity of the elastic surface has been derived. Several examples including nonlinear elastic-plastic materials, linear elastic-plastic structures with unilateral constraints, and also slackened-linear elastic-plastic structures are presented and discussed.

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On elastic response of inelastic structures

Gawecki, A.

Convexity of elastic response regions in external load space for inelastic structures has been analyzed. Theoretical considerations have been carried out using the discrete matrix notation and piece-wise linear approximation proposed by Maier. A necessary condition for the non-convexity of the elastic surface has been derived. Several examples including nonlinear elastic-plastic materials, linear elastic-plastic structures with unilateral constraints, and also slackened-linear elastic-plastic structures are presented and discussed.

On elastic response of inelastic structures

Gawecki, A.

Convexity of elastic response regions in external load space for inelastic structures has been analyzed. Theoretical considerations have been carried out using the discrete matrix notation and piece-wise linear approximation proposed by Maier. A necessary condition for the non-convexity of the elastic surface has been derived. Several examples including nonlinear elastic-plastic materials, linear elastic-plastic structures with unilateral constraints, and also slackened-linear elastic-plastic structures are presented and discussed.

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Title:

On elastic response of inelastic structures

Additional title:

Elastisches Verhalten von unelastischen Strukturen

Contributors:

Gawecki, A. (author)

Published in:

Acta Mechanica ; 116 ; 111-122

Publication date:

1996

Size:

12 Seiten, 5 Bilder, 16 Quellen

ISSN:

DOI:

https://doi.org/10.1007/BF01171424

Type of media:

Article (Journal)

Type of material:

Print

Language:

English

Keywords:

elastische Eigenschaft , Starrheit , Kinematik , Linearität , Nichtlinearität , Strukturanalyse , Vektor , mechanische Spannung , Dehnung , Elastizität , Elastizitätslehre , Querschnitt , Biegemoment , Rahmen , Streckgrenze , Verformung , Plastizität , plastisches Verformen , Schadenursachenforschung , Balken , Träger (Bauwesen) , Näherungsverfahren

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