On deformational and configurational mechanics of micromorphic hyperelasticity – Theory and computation
On deformational and configurational mechanics of micromorphic hyperelasticity – Theory and computation
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微态超弹性的变形和构型力学——理论与计算
DOI：
10.1016/j.cma.2007.02.015
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发表时间：
2007
影响因子：
7.2
通讯作者：
P. Steinmann
中科院分区：
文献类型：
--
作者：
C. B. Hirschberger;E. Kuhl;P. Steinmann
在空间运动问题和物质运动问题的背景下，提出了一种微态连续统公式。对于这两种方法，都导出了运动学和平衡关系，以及发生应力场的各种表示。详细研究了空间运动问题和物质运动问题量之间的关系。在超弹性本构假设下，导出了有限元近似，并将特别适用于缺陷力学问题的材料力法成功地应用于本文的微形态连续介质理论。
A micromorphic continuum formulation is presented in the context of both, the spatial- and the material-motion problem. For both approaches the kinematics as well as the balance relations together with the various representations of the occurring stress fields are derived. The relations between the spatial-motion problem and the material-motion problem quantities are examined in detail. Upon a hyperelastic constitutive assumption a finite-element approximation is derived and the material–force method, which is especially suited for defect-mechanics problems, is successfully applied to the present micromorphic continuum theory.