Material models in principal stretches for elastodynamics
Material models in principal stretches for elastodynamics
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弹性动力学主要拉伸方向的材料模型
DOI：
10.1002/pamm.200810315
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
Betsch P.
中科院分区：
文献类型：
--
作者：
Müller M;Groß M;Betsch P.
本文研究有限变形弹性体的守恒积分。特别地，我们使用了以主拉伸形式表示的本构关系，超弹性各向同性材料的大多数材料模型都是以主拉伸形式（Simo和Taylor [1]）描述的，如作为Ogden材料特例的Neo-Hooke材料，或以不变量描述的。主拉伸的主要优点是它们可以直接测量，这意味着数值结果可以很容易地与实验结果进行比较，例如参见Ogden [2]。此外，用主拉伸描述粘弹性材料（例如橡胶类材料）的行为是有利的。关于空间离散化，我们应用增强假设应变（EAS）方法，参见Simo和Armero [3]。对于离散化的时间，我们的目标是数值积分继承基本的连续系统的守恒律。特别地，我们提出了一种能量和动量守恒的时间步进方案，该方案依赖于Gonzalez [4]意义上的离散梯度（或导数）的概念。所提出的方法从我们以前在[5]中的发展开始。数值例子表明本配方的有利性能。（© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA，魏因海姆）
In the present work we deal with the conserving integration of elastic bodies undergoing finite deformations. In particular, we make use of constitutive laws formulated in terms of principal stretches.Most material models for hyperelastic isotropic materials are described in terms of principal stretches (Simo and Taylor [1]), like the Neo–Hooke material which is a special case of the Ogden material, or in invariants. The main advantage of principal stretches is the fact that they can be measured directly, which means that the numerical results can be compared easily with experimental ones, see for example, Ogden [2]. Moreover, it is advantageous to describe viscoelastic material behaviour (e.g. rubberlike materials) in terms of principal stretches.Concerning the discretization in space we apply the enhanced assumed strain (EAS) method, see Simo and Armero [3]. For the discretization in time we aim at numerical integrators which inherit fundamental conservation laws from the underlying continuous system. In particular, we propose an energy and momentum conserving time–stepping scheme which relies on the notion of a discrete gradient (or derivative) in the sense of Gonzalez [4]. The proposed approach starts from our previous developments in [5]. Numerical examples demonstrate the advantageous properties of the present formulation. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
非线性弹性动力学中混合元件的机械积分器
DOI：
10.1002/pamm.200700187
发表时间：
2007
期刊：
PAMM
影响因子：
--
作者：
M. Müller;P. Betsch
通讯作者：
P. Betsch