Some properties of the dissipative model of strain-gradient plasticity

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

Publication Type: Journal article

Publication year: 2017

Journal

Philosophical Magazine Taylor & Francis: STM, Behavioural Science and Public Health Titles / Taylor & Francis

Book Volume: 97

Pages Range: 693-717

Journal Issue: 10

DOI: 10.1080/14786435.2016.1274836

Abstract

A theoretical and computational investigation is carried out of a dissipative model of rate-independent strain-gradient plasticity and its regularisation. It is shown that the flow relation, when expressed in terms of the Cauchy stress, is necessarily global. The most convenient approach to formulating the flow relation is through the use of a dissipation function. It is shown, however, that the task of obtaining the dual version, in the form of a normality relation, is a complex one. A numerical investigation of problems in two space dimensions casts further light on the response using the dissipative theory in situations of non-proportional loading. The elastic gap, a feature reported in recent investigations, is observed in situations in which passivation has been imposed. The computational study indicates that the gap may be regarded as an efficient path between a load-deformation response corresponding to micro-free boundary conditions, and that corresponding to micro-hard boundary conditions, in which plastic strains are set equal to zero on all or part of the boundary.

Authors with CRIS profile

Paul Steinmann Lehrstuhl für Technische Mechanik

Involved external institutions

Humboldt-Universität zu Berlin DE Germany (DE) University of Cape Town (UCT) ZA South Africa (ZA) University of Glasgow GB United Kingdom (GB)

How to cite

APA:

Carstensen, C., Ebobisse, F., Mcbride, A.T., Reddy, B.D., & Steinmann, P. (2017). Some properties of the dissipative model of strain-gradient plasticity. Philosophical Magazine, 97(10), 693-717. https://dx.doi.org/10.1080/14786435.2016.1274836

MLA:

Carstensen, C., et al. "Some properties of the dissipative model of strain-gradient plasticity." Philosophical Magazine 97.10 (2017): 693-717.

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