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Flow relations and yield functions for dissipative strain-gradient plasticity

Carstensen C, Ebobisse F, McBride AT, Reddy BD, Steinmann P (2017)

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Publication Language: English

Publication Type: Conference contribution

Publication year: 2017

Journal

Publisher: Springer Verlag

Book Volume: 69

Pages Range: 31-42

Conference Proceedings Title: Advanced Structured Materials

Event location: Perpignan, FRA

ISBN: 9789811037634

DOI: 10.1007/978-981-10-3764-1_3

Abstract

In this work we carry out a theoretical investigation of a dissipative model of rate-independent strain-gradient plasticity. The work builds on the investigation in [1], which in turn was inspired by the investigations in [4] of responses to nonproportional loading in the form of surface passivation. We recall the global nature of the flow relation when expressed in terms of the Cauchy stress and dissipation function. We highlight the difficulties encountered in attempts to obtain dual forms of the flow relation and associated yield functions, for the continuous and discrete problems, and derive upper bounds on the global yield function.

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How to cite

APA:

Carstensen, C., Ebobisse, F., McBride, A.T., Reddy, B.D., & Steinmann, P. (2017). Flow relations and yield functions for dissipative strain-gradient plasticity. In Mircea Sofonea, Francesco dell’Isola, David Steigmann (Eds.), Advanced Structured Materials (pp. 31-42). Perpignan, FRA: Springer Verlag.

MLA:

Carstensen, Carsten, et al. "Flow relations and yield functions for dissipative strain-gradient plasticity." Proceedings of the International conference on Emerging Trends in Applied Mathematics and Mechanics, ETAMM 2016, Perpignan, FRA Ed. Mircea Sofonea, Francesco dell’Isola, David Steigmann, Springer Verlag, 2017. 31-42.

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