Nonlinear Elasticity for Modeling Fracture of Isotropic Brittle Solids
Nonlinear Elasticity for Modeling Fracture of Isotropic Brittle Solids
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各向同性脆性固体断裂建模的非线性弹性
DOI：
10.1115/1.1636795
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
K. Volokh
中科院分区：
文献类型：
--
作者：
K. Volokh
提出了一种用于脆性断裂分析的软化超弹性连续体模型。各向同性材料有两个标准参数——剪切模量和体积模量，以及体积分离功的附加参数。该模型可以看作是内聚曲面概念的体积推广。通过简单剪切和静水压力的算例，阐明了所提出的本构方程的意义。强调所提出的本构模型只包括光滑函数，必要的计算技术是非线性弹性的计算技术。
A softening hyperelastic continuum model is proposed for analysis of brittle fracture. Isotropic material is characterized by two standard parameters-shear and bulk modulus-and an additional parameter of the volumetric separation work. The model can be considered as a volumetric generalization of the concept of the cohesive surface. The meaning of the proposed constitutive equations is clarified by the examples of simple shear and hydrostatic pressure. It is emphasized that the proposed constitutive model includes only smooth functions and the necessary computational techniques are those of nonlinear elasticity.