Existence for dislocation-free finite plasticity
Existence for dislocation-free finite plasticity
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无位错有限塑性的存在性
DOI：
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发表时间：
2019
期刊：
影响因子：
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通讯作者：
U. Stefanelli
中科院分区：
文献类型：
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作者：
U. Stefanelli
本文讨论塑性变形相容约束下的有限塑性问题。在这种情况下，介质的总弹塑性变形被分解为y = ye ○ yp，其中塑性变形yp被定义在固定的参考配置上，弹性变形ye是从变化的中间配置yp（Ω）的映射。相应地，介质的能量具有拉格朗日贡献（塑性，载荷）和非拉格朗日贡献（弹性）。
我们提出了一个变分制定的静态弹塑性问题，在这种情况下，并表明，解决方案是在一个合适的类的容许变形。可能的扩展的结果，特别是在准静态演化的方向，也进行了讨论。
This note addresses finite plasticity under the constraint that plastic deformations are compatible. In this case, the total elastoplastic deformation of the medium is decomposed as y = ye ○ yp, where the plastic deformation yp is defined on the fixed reference configuration and the elastic deformation ye is a mapping from the varying intermediate configuration yp(Ω). Correspondingly, the energy of the medium features both Lagrangian (plastic, loads) and not Lagrangian contributions (elastic).
We present a variational formulation of the static elastoplastic problem in this setting and show that a solution is attained in a suitable class of admissible deformations. Possible extensions of the result, especially in the direction of quasistatic evolutions, are also discussed.