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Phase field modeling of nonlinear material behavior

Abstract : Materials that undergo internal transformations are usually described in solid mechanics by multi-well energy functions that account for both elastic and transformational behavior. In order to separate the two effects, physicists use instead phase-field-type theories where conventional linear elastic strain is quadratically coupled to an additional field that describes the evolution of the reference state and solely accounts for nonlinearity. In this paper we propose a systematic method allowing one to split the non-convex energy into harmonic and nonharmonic parts and to convert a nonconvex mechanical problem into a partially linearized phase-field problem. The main ideas are illustrated using the simplest framework of the Peielrs-Nabarro dislocation model.
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https://hal-cea.archives-ouvertes.fr/cea-00412984
Contributor : Yves-Patrick Pellegrini <>
Submitted on : Wednesday, September 2, 2009 - 6:57:40 PM
Last modification on : Thursday, September 24, 2020 - 4:00:21 PM

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Yves-Patrick Pellegrini, Christophe Denoual, Lev Truskinovsky. Phase field modeling of nonlinear material behavior. IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials, Sep 2008, Bochum, Germany. pp.209-220, ⟨10.1007/978-90-481-9195-6_16⟩. ⟨cea-00412984⟩

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