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Article Dans Une Revue Journal of the Mechanics and Physics of Solids Année : 2022

An alternative way to describe thermodynamically-consistent higher-order dissipation within strain gradient plasticity

Résumé

In the context of strain gradient plasticity (SGP), description of higher-order dissipation is the subject of extensive on-going discussions. In most existing SGP theories including thermodynamically-consistent higher-order dissipation, higher-order dissipative processes are described based on the decomposition of the higher-order stresses into recoverable and unrecoverable parts. This higher-order stress decomposition represents the basis of the so-called non-incremental (Gurtin-type) SGP theories, which are the most commonly used in the literature. As formulated, these theories satisfy the thermodynamic requirement of non-negative dissipation. However, they generally lead to unusual effects for some boundary value problems, such as the occurrence of elastic gaps under non-proportional loading conditions. The present work proposes an alternative way to describe higher-order dissipative effects, with an illustration within strain gradient crystal plasticity (SGCP) framework. Inspired by rheological models in series like Maxwell model, the higher-order stress decomposition is replaced by a decomposition of the plastic slip gradients into recoverable and unrecoverable parts. Effects of this decomposition technique are studied and compared with those obtained using higher-order stress decomposition. Capabilities of such a technique to deal with elastic gaps are also investigated.
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Dates et versions

hal-03821929 , version 1 (20-10-2022)

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Mohamed Jebahi, Samuel Forest. An alternative way to describe thermodynamically-consistent higher-order dissipation within strain gradient plasticity. Journal of the Mechanics and Physics of Solids, 2022, 170, pp.105103. ⟨10.1016/j.jmps.2022.105103⟩. ⟨hal-03821929⟩
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