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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 >Material Growth in Solid-Like Materials
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Material Growth in Solid-Like Materials

机译：固体材料的材料生长

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摘要

A thermodynamically admissible model of volumetric growth is presented which exploits the notion of material transplant or local structural rearrangement issued from the Epstein-Maugin theory of material inhomogeneities. The driving force appears to be the Mandel stress (a part of the Eshelby stress tensor). Anisotropy of growth is characterized by a vector field slaved to the principal directions of that tensor. The model is very much like one of viscoelas-ticity in finite strains. It is applicable to self-organization or adaptation. The numerical solution of specific problems is based on a finite-element formulation obtained with reference to the total Lagrangian approach. The validity of the model is thus assessed in terms of circumferential (monotomic) growth/resorption behavior, stress induction in a ring, and the dynamical effect (repeated alternate loading) on the material growth in a cantilever beam. The model proves to possess a sufficiently rich potential for a further comprehensive description of growth/adaptation phenomena.
机译：提出了体积增长的热力学可接受模型，该模型利用了从材料不均匀性的Epstein-Maugin理论发出的材料移植或局部结构重排的概念。驱动力似乎是Mandel应力（Eshelby应力张量的一部分）。生长的各向异性的特征是矢量场服从该张量的主要方向。该模型非常类似于有限应变中的粘弹性之一。它适用于自组织或适应。特定问题的数值解决方案基于有限元公式，该公式是参考总拉格朗日方法获得的。因此，根据周向（单原子）生长/吸收行为，环中的应力感应以及对悬臂梁中材料生长的动力学影响（重复的交替载荷）评估了模型的有效性。该模型证明具有足够丰富的潜力，可以进一步全面描述生长/适应现象。

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