Multiphase-field model of small strain elasto-plasticity according to the mechanical jump conditions
Multiphase-field model of small strain elasto-plasticity according to the mechanical jump conditions
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DOI：
10.1007/s00466-018-1570-0
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发表时间：
2018-04
影响因子：
4.1
通讯作者：
C. Herrmann;Ephraim Schoof;D. Schneider;Felix K. Schwab;Andreas Reiter;M. Selzer;B. Nestler
中科院分区：
文献类型：
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作者：
C. Herrmann;Ephraim Schoof;D. Schneider;Felix K. Schwab;Andreas Reiter;M. Selzer;B. Nestler
根据力学跳跃条件，引入了小应变弹塑性多相场模型。一个率无关塑性模型与线性各向同性硬化和无运动硬化的应用示例。通常，任何物理非线性力学模型都与随后提出的过程兼容。与内插材料参数的模型相比，所提出的模型能够对每个相分别应用不同的非线性力学本构方程。阿达玛协调条件和静力平衡作为均匀化的方法来计算相固有应力和应变。几个验证情况进行了讨论。通过对马氏体相变和定量参数的模拟，证明了该模型的适用性。
We introduce a small strain elasto-plastic multiphase-field model according to the mechanical jump conditions. A rate-independent-plasticity model with linear isotropic hardening and without kinematic hardening is applied exemplary. Generally, any physically nonlinear mechanical model is compatible with the subsequently presented procedure. In contrast to models with interpolated material parameters, the proposed model is able to apply different nonlinear mechanical constitutive equations for each phase separately. The Hadamard compatibility condition and the static force balance are employed as homogenization approaches to calculate the phase-inherent stresses and strains. Several verification cases are discussed. The applicability of the proposed model is demonstrated by simulations of the martensitic transformation and quantitative parameters.