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首页> 外文会议>IUTAM Symposium on Computational Mechanics of Solid Materials at Large Strains Aug 20-24, 2001 Stuttgart, Germany >Continuum Thermodynamic Modeling and Simulation of Additional Hardening due to Deformation Incompatibility
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Continuum Thermodynamic Modeling and Simulation of Additional Hardening due to Deformation Incompatibility

机译：变形不相容引起的附加硬化的连续热力学建模和仿真

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摘要

The purpose of this work is the formulation and investigation of a phenomeno-logical constitutive model for the inelastic material behavior of single crystals and polycrystals including the possible effects of incompatibility in the local inelastic deformation on this behavior. In particular, attention is focused here on additional hardening caused by the production of additional dislocations (i.e., geometrically-necessary dislocations) accommodating such incompatibility. In the context of crystal plasticity, such local inelastic deformation is represented by the glide-system (scalar) slips. As it turns out, this quantity can be used as a basis on which to formulate a non-local continuum thermodynamic generalization of standard crystal plasticity in order to account for the effects of such incompatibility on the material behavior. The corresponding continuum thermodynamic formulation yields a generalized Ginzburg-Landau or Cahn-Allen-type evolution/field relation for the scalar glide-system slip whose form is determined by that of the free energy, a dissipation potential, and that of the evolution relations for the inelastic state variables. In the last part of the work, the behavior of the model is elucidated in the context of the constrained simple shear of a crystalline strip containing one or two glide systems.
机译：这项工作的目的是为单晶和多晶的非弹性材料行为建立现象学本构模型，并研究其局部非弹性变形中不相容性对此行为可能产生的影响。特别地，这里将注意力集中在由适应这种不相容性的附加位错（即，几何上必要的位错）的产生而引起的附加硬化上。在晶体可塑性的情况下，这种局部非弹性变形由滑动系统（标量）滑动表示。事实证明，该量可以用作制定标准晶体可塑性的非局部连续热力学概括的基础，以便解决这种不相容性对材料性能的影响。相应的连续热力学公式为标量滑行系统滑移产生了广义的Ginzburg-Landau或Cahn-Allen型演化/场关系，其形式由自由能，耗散势和演化关系决定。非弹性状态变量。在工作的最后一部分中，在包含一个或两个滑行系统的结晶带受约束的简单剪切的背景下阐明了模型的行为。

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