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首页> 外文会议>ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2007 >NONLINEAR CONSTITUTIVE MODELS AND THE FINITE ELEMENT ABSOLUTE NODAL COORDINATE FORMULATION
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NONLINEAR CONSTITUTIVE MODELS AND THE FINITE ELEMENT ABSOLUTE NODAL COORDINATE FORMULATION

机译：非线性本构模型和有限元绝对节点坐标公式。

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摘要

In this investigation, the use of three different nonlinear constitutive models based on the hyper-elasticity theory with the absolute nodal coordinate formulation is considered. These three nonlinear constitutive models are based on the Neo-Hookean constitutive law for compressible materials, the Neo-Hookean constitutive law for incompressible materials, and the Mooney-Rivlin constitutive law in which the material is assumed to be incompressible. These models, which allow capturing Poisson modes, are suitable for many materials and applications, including rubber-like materials and biological tissues which are governed by nonlinear elastic behavior and are considered incompressible or nearly incompressible. Numerical examples that demonstrate the implementation of these nonlinear constitutive models in the absolute nodal coordinate formulation are presented. The results obtained using the nonlinear and linear constitutive models are compared in this study. The results show that when linear constitutive models are used in the large deformation analysis, singular configurations are encountered and basic formulas such as Nanson's formula are no longer valid. These singular deformation configurations are not encountered when the nonlinear constitutive models are used.
机译：在这项研究中，考虑使用基于超弹性理论和绝对节点坐标公式的三种不同的非线性本构模型。这三个非线性本构模型基于可压缩材料的新霍克本构定律，不可压缩材料的新霍克本构定律以及其中材料被假定为不可压缩的门尼-里夫林本构定律。这些允许捕获泊松模式的模型适用于许多材料和应用，包括受非线性弹性行为支配并被认为不可压缩或几乎不可压缩的类橡胶材料和生物组织。数值例子表明了在绝对节点坐标公式中这些非线性本构模型的实现。本研究比较了使用非线性和线性本构模型获得的结果。结果表明，在大变形分析中使用线性本构模型时，会遇到奇异构型，而基本公式（如Nanson公式）不再有效。使用非线性本构模型时，不会遇到这些奇异变形配置。

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