Elastic–viscoplastic modeling of soft biological tissues using a mixed finite element formulation based on the relative deformation gradient
Elastic–viscoplastic modeling of soft biological tissues using a mixed finite element formulation based on the relative deformation gradient
复制标题
使用基于相对变形梯度的混合有限元公式对生物软组织进行弹粘塑性建模
DOI：
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复制
发表时间：
2014
影响因子：
2.1
通讯作者：
M. Jabareen
中科院分区：
文献类型：
--
作者：
Johannes Weickenmeier;M. Jabareen
生物软组织的特征性高度非线性、时间依赖性和通常非弹性的材料响应可以用一组弹粘塑性本构方程表示。Rubin和Bodner（2002）提出的软组织特定弹粘塑性模型是相对于非弹性率和硬化参数的标量本构方程进行推广的，以表示弹粘塑性模型的一般框架。通过引入相对变形梯度--上次收敛构形与当前构形之间的变形映射，发展了一种强目标积分格式和一种新的混合有限元列式。数值实现的广义框架和具体的Rubin和Bodner模型。作为一个新的模型方程的一个具有挑战性的应用程序的例子，面部皮肤组织的机械响应的特征在于通过一个实验活动的基础上的吸力方法。测量数据用于识别适当的模型参数集，其很好地表示实验观察到的组织行为。定义了两种不同的测量方案，以解决关于瞬时组织响应、非弹性和组织恢复的特定组织特性。版权所有© 2014约翰威利父子有限公司.
The characteristic highly nonlinear, time‐dependent, and often inelastic material response of soft biological tissues can be expressed in a set of elastic–viscoplastic constitutive equations. The specific elastic–viscoplastic model for soft tissues proposed by Rubin and Bodner (2002) is generalized with respect to the constitutive equations for the scalar quantity of the rate of inelasticity and the hardening parameter in order to represent a general framework for elastic–viscoplastic models. A strongly objective integration scheme and a new mixed finite element formulation were developed based on the introduction of the relative deformation gradient—the deformation mapping between the last converged and current configurations. The numerical implementation of both the generalized framework and the specific Rubin and Bodner model is presented. As an example of a challenging application of the new model equations, the mechanical response of facial skin tissue is characterized through an experimental campaign based on the suction method. The measurement data are used for the identification of a suitable set of model parameters that well represents the experimentally observed tissue behavior. Two different measurement protocols were defined to address specific tissue properties with respect to the instantaneous tissue response, inelasticity, and tissue recovery. Copyright © 2014 John Wiley & Sons, Ltd.
影响因子：
2.4
作者：
Menzel A;Kuhl E
通讯作者：
Kuhl E
影响因子：
2.4
作者：
Nekouzadeh, Ali;Pryse, Kenneth M.;Genin, Guy M.
通讯作者：
Genin, Guy M.