Finite Stretching and Shearing of an Internally Balanced Elastic Solid
Finite Stretching and Shearing of an Internally Balanced Elastic Solid
复制标题
内部平衡弹性固体的有限拉伸和剪切
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
T. Pence
中科院分区：
文献类型：
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作者：
Hasan Demirkoparan;T. Pence
当试图分别描述承受有限应变的固体中的弹性和非弹性效应时，通常要考虑变形梯度。f F$分解为部分，例如$mathbf{F}={hat {mathbf {F}{mathbf{F}}^{*}$。这种分解也可以用来描述内部弹性平衡的概念。对于平衡变形，通过考虑乘法分解本身的变化，这种平衡自然地从适当制定的能量最小化中出现。内部平衡要求是F，${hat {mathbf{F}$和F之间的张量关系。这样的理论有希望描述固体中的各种亚结构重构。这包括一旦获得载荷的阈值就局部化滑动的表面的发展。我们考虑一个不可压缩的内部平衡的弹性材料的本构关系，是由标准的超弹性理论中的neo-Hookean行为。在单轴加载和简单剪切的内部平衡关系的作用进行检查。在单轴加载中，主方向保持固定。在简单剪切中，主方向随变形的进行而改变。为了解决后者，我们建立了一个特定的意义，其中内部平衡关系可以解析地解决一般等容。f斐济元。
When seeking to separately describe elastic and inelastic effects in solids undergoing finite strain, it is typical to factor the deformation gradient $f F$ into parts, say $mathbf{F}={hat {mathbf{F}}}{mathbf{F}}^{*}$. Such a factorization can also be used to describe a notion of internal elastic balance. For equilibrium deformations this balance emerges naturally from an appropriately formulated energy minimization by considering the variation with respect to the multiplicative decomposition itself. The internal balance requirement is then a tensor relation between F, ${hat {mathbf{F}}}$ and F∗. Such theories holds promise for describing various substructural reconfigurations in solids. This includes the development of surfaces that localize slip once a threshold value of load is obtained. We consider an incompressible internally balanced elastic material with a constitutive law that is motivated by neo-Hookean behavior in the standard hyperelastic theory. The role of the internal balance relation is examined in uniaxial loading and also in simple shearing. In uniaxial loading the principle directions remain fixed. In simple shearing the principle directions change as the deformation proceeds. To address the latter, we establish a specific sense in which the internal balance relation can be solved analytically for general isochoric $f F$.
影响因子：
2.4
作者：
RODRIGUEZ, EK;HOGER, A;MCCULLOCH, AD
通讯作者：
MCCULLOCH, AD