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A model for a solid undergoing rate-independent dissipative mechanical processes:

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In this paper, a thermodynamic framework is proposed to capture the dissipative response of metals, in contrast to the conventional practice, a stressed reference configuration is assumed instead of a stress-free configuration.
Abstract
A thermodynamic framework is proposed to capture the dissipative response of metals. In contrast to the conventional practice, a stressed reference configuration is assumed instead of a stress-free...

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Citations
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Deformation Mechanics of Fuel Cell Gas Diffusion Layer: Cyclic Response and Constitutive Model

TL;DR: In this paper , the deformation mechanics of a typical gas diffusion layer using an experimental and advanced modeling technique is reported, where the experimental cyclic response is observed similar to pseudo-elastic materials with highly nonlinear loading/unloading.
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Numerical approximation of a thermodynamically complete rate-type model for the elastic-perfectly plastic response

TL;DR: In this article , a numerical scheme for a system arising from a novel description of the standard elastic-perfectly plastic response is described via rate-type equations that do not make use of the traditional elastic-plastic decomposition, and the model does not require the use of variational inequalities.
References
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Book

The non-linear field theories of mechanics

TL;DR: A theory aiming to describe their mechanical behavior must take heed of their deformability and represent the definite principles it obeys as mentioned in this paper, which is not the case in modern physics, since it concerns solely the small particles of matter.
Journal ArticleDOI

Elastic-plastic behavior of steel sheets under in-plane cyclic tension-compression at large strain

TL;DR: In this article, the cyclic elasto-plasticity of two types of steel sheets for press-forming (an aluminum-killed mild steel and a dual-phase high strength steel of 590 MPa ultimate tensile strength) under in-plane cyclic tension-compression at large strain (up to 25% strain for mild steel, and 13% for high-strength steel) was investigated.
Journal ArticleDOI

On Implicit Constitutive Theories

TL;DR: In this paper, the authors discuss implicit constitutive theories for the Helmholtz potential that depends on both the stress and strain, and which does not dissipate in any admissible process.
Book ChapterDOI

A New Mathematical Theory of Simple Materials

TL;DR: The theory of simple materials was formulated by as discussed by the authors in 1958 in reference [N2] and has served as a foundation for a large part of the research in continuum physics since 1958, and considering that the concepts and even the notations of [N 2] are now used routinely and without reference in textbooks on continuum mechanics.
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