Modeling failure of soft anisotropic materials with application to arteries.
Modeling failure of soft anisotropic materials with application to arteries.
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应用于动脉的软各向异性材料的建模失效。
DOI：
10.1016/j.jmbbm.2011.01.002
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发表时间：
2011
影响因子：
3.9
通讯作者：
K. Volokh
中科院分区：
文献类型：
--
作者：
K. Volokh
动脉壁是一种复合材料，其中胶原纤维的优选取向引起各向异性。虽然纤维增强复合材料的超弹性理论已经达到了很高的成熟程度，并且与现有的实验数据也表现出了合理的一致性，但它们缺乏对失效的描述。遵循材料强度的传统，失效准则通常与应力分析分离。在目前的工作中，我们将失败的描述软各向异性材料的超弹性模型中引入能量限制器的应变能函数。限制器提供应变能的饱和值，该值指示可以由无限小的材料体积存储和耗散的最大能量。通过使用一些流行的本构模型增强的能量限制器，我们分析了断裂的动脉材料片的平面应力状态下的单轴等双轴拉伸。我们计算的局部破坏准则，包括最大主应力，最大主拉伸，冯米塞斯应力，和应变能在片材破裂的时刻。我们发现，局部破坏准则的形式的临界应变能是最强大的所考虑的。我们还发现，拉伸强度-最大主应力-通常是在单轴拉伸试验中获得的可能不适合作为一个失败的指标的情况下，开发的双轴的应力-应变状态。
The arterial wall is a composite where the preferred orientation of collagen fibers induces anisotropy. Though the hyperelastic theories of fiber-reinforced composites reached a high level of sophistication and showed a reasonable correspondence with the available experimental data they are short of the failure description. Following the tradition of strength of materials the failure criteria are usually separated from stress analysis. In the present work we incorporate a failure description in the hyperelastic models of soft anisotropic materials by introducing energy limiters in the strain energy functions. The limiters provide the saturation value for the strain energy which indicates the maximum energy that can be stored and dissipated by an infinitesimal material volume. By using some popular constitutive models enhanced with the energy limiters we analyze rupture of a sheet of arterial material under the plane stress state varying from the uniaxial to equal biaxial tension. We calculate the local failure criteria including the maximum principal stress, the maximum principal stretch, the von Mises stress, and the strain energy at the moment of the sheet rupture. We find that the local failure criterion in the form of the critical strain energy is the most robust among the considered ones. We also find that the tensile strength–the maximum principal stress–that is usually obtained in uniaxial tension tests might not be appropriate as a failure indicator in the cases of the developed biaxiality of the stress–strain state.
DOI：
10.1115/1.3138417
发表时间：
1983-01-01
影响因子：
1.7
作者：
CHUONG, CJ;FUNG, YC
通讯作者：
FUNG, YC