Variational framework for phase field modeling of ductile fracture in porous solids at finite strains

Variational framework for phase field modeling of ductile fracture in porous solids at finite... This work outlines a rigorous variational‐based framework for the phase field modeling of fracture in isotropic and anisotropic porous solids undergoing small elastic but large plastic deformations. It extends the recent work [1] to a formulation of porous plasticity with particulate microstructures characterized by spherical pores or by ellipsoidal voids, which additionally undergo a change in size and orientation. A gradient plasticity model for isotropic and anisotropic porous plasticity is developed, and linked to a failure criterion in terms of the local elastic‐plastic work density that drives the fracture phase field [2]. It is shown that this approach is able to model phenomena of ductile failure such as cup‐cone failure surfaces. The proposed model is governed by a rate‐type minimization principle, which describes the coupled multifield evolution problem of plasticity‐damage. Another aspect is the regularization towards a micromorphic gradient plasticity‐damage setting which enhances the robustness of the finite element formulation. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim) http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Proceedings in Applied Mathematics & Mechanics Wiley

Variational framework for phase field modeling of ductile fracture in porous solids at finite strains

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Publisher
Wiley Subscription Services, Inc., A Wiley Company
Copyright
Copyright © 2017 Wiley Subscription Services
ISSN
1617-7061
eISSN
1617-7061
D.O.I.
10.1002/pamm.201710109
Publisher site
See Article on Publisher Site

Abstract

This work outlines a rigorous variational‐based framework for the phase field modeling of fracture in isotropic and anisotropic porous solids undergoing small elastic but large plastic deformations. It extends the recent work [1] to a formulation of porous plasticity with particulate microstructures characterized by spherical pores or by ellipsoidal voids, which additionally undergo a change in size and orientation. A gradient plasticity model for isotropic and anisotropic porous plasticity is developed, and linked to a failure criterion in terms of the local elastic‐plastic work density that drives the fracture phase field [2]. It is shown that this approach is able to model phenomena of ductile failure such as cup‐cone failure surfaces. The proposed model is governed by a rate‐type minimization principle, which describes the coupled multifield evolution problem of plasticity‐damage. Another aspect is the regularization towards a micromorphic gradient plasticity‐damage setting which enhances the robustness of the finite element formulation. (© 2017 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Journal

Proceedings in Applied Mathematics & MechanicsWiley

Published: Jan 1, 2017

References

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