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Micromorphic Approach to Gradient Plasticity and Damage

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Handbook of Nonlocal Continuum Mechanics for Materials and Structures

Abstract

Eringen and Mindlin’s original micromorphic continuum model is presented and extended towards finite elastic-plastic deformations. The framework is generalized to any additional kinematic degrees of freedom related to plasticity and/or damage mechanisms. It provides a systematic method to develop size–dependent plasticity and damage models, closely related to phase field approaches, that can be applied to hardening and/or softening material behavior. The regularization power of the method is illustrated in the case of damage in single crystals. Special attention is given to the various possible finite deformation formulations enhancing existing frameworks for finite elastoplasticity and damage.

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Acknowledgments

The first author thanks Prof. O. Aslan for his contribution to the presented micro-morphic damage theory. These contributions are duly cited in the references quoted in the text and listed below.

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Authors and Affiliations

  1. Centre des Materiaux, Mines ParisTech CNRS, PSL Research University, Paris, Evry Cedex, France

    Samuel Forest

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  1. Department of Civil and Environmental Engineering, Louisiana State University, Baton Rouge, LA, USA

    George Z. Voyiadjis

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Forest, S. (2019). Micromorphic Approach to Gradient Plasticity and Damage. In: Voyiadjis, G. (eds) Handbook of Nonlocal Continuum Mechanics for Materials and Structures. Springer, Cham. https://doi.org/10.1007/978-3-319-58729-5_9

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