A numerical study of elastic bodies that are described by constitutive equations that exhibit limited strains
A numerical study of elastic bodies that are described by constitutive equations that exhibit limited strains
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由表现出有限应变的本构方程描述的弹性体的数值研究
DOI：
10.1016/j.ijsolstr.2013.11.014
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发表时间：
2014
影响因子：
3.6
通讯作者：
K. Rajagopal
中科院分区：
文献类型：
--
作者：
A. Ortiz;R. Bustamante;K. Rajagopal
最近，已经开发出一类非常通用且新颖的隐式物体来描述固体的弹性响应。它包含经典柯西弹性体和格林弹性体作为一个特殊的子类。在此类物体中，我们可以通过严格的近似获得作为应力的非线性函数的线性应变的本构关系。这种近似在柯西和格林弹性的经典理论中是不可能的，其中线性化过程只会导致经典的线性化弹性体。在本文中，我们在新型弹性体模型的背景下，数值研究了具有椭圆孔和带肩圆角的阶梯式平拉杆的有限矩形板中的应力和应变状态，保证线性化应变保持有界并限制在可以先验固定的值以下，从而保证了模型的使用。 This is in contrast to the classical linearized elastic model, wherein the strains can become large enough in the body leading to an obvious inconsistency.
Recently, a very general and novel class of implicit bodies has been developed to describe the elastic response of solids. It contains as a special subclass the classical Cauchy and Green elastic bodies. Within the class of such bodies, one can obtain through a rigorous approximation, constitutive relations for the linearized strain as a nonlinear function of the stress. Such an approximation is not possible within classical theories of Cauchy and Green elasticity, where the process of linearization will only lead to the classical linearized elastic body.In this paper, we study numerically the states of stress and strain in a finite rectangular plate with an elliptic hole and a stepped flat tension bar with shoulder fillets, within the context of the new class of models for elastic bodies that guarantees that the linearized strain would stay bounded and limited below a value that can be fixed a priori, thereby guaranteeing the validity of the use of the model. This is in contrast to the classical linearized elastic model, wherein the strains can become large enough in the body leading to an obvious inconsistency.
影响因子：
6.6
作者：
Freed AD;Einstein DR
通讯作者：
Einstein DR