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<p>In this work, we suggest a framework for modeling evolution of phase-fractions in elastoplastic materials associated with phase transformations. The model is based on variational principles for inelastic materials. We restrict ourselves to infinitesimal strains and isotropic materials. In our work we employ the so-called dissipation distance, which describes an immediate phase transition in time via an underlying probability matrix. The volume fractions of the various phases are represented by Young measures to obtain a time continuous microstructure evolution. A minimum principle is presented to govern the initiation of new phases. The model is verified employing a two-dimensional benchmark test implemented by the Finite Element Method.</p>

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A variational multi-phase model for phase-transforming elasto-plastic materials

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年6月1日

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  • Sarah Dinkelacker-Steinhoff,
  • Klaus Hackl

摘要

In this work, we suggest a framework for modeling evolution of phase-fractions in elastoplastic materials associated with phase transformations. The model is based on variational principles for inelastic materials. We restrict ourselves to infinitesimal strains and isotropic materials. In our work we employ the so-called dissipation distance, which describes an immediate phase transition in time via an underlying probability matrix. The volume fractions of the various phases are represented by Young measures to obtain a time continuous microstructure evolution. A minimum principle is presented to govern the initiation of new phases. The model is verified employing a two-dimensional benchmark test implemented by the Finite Element Method.