用逆方法优化Mooney-Rivlin本构模型的材料常数

Elisabete Silva, M. Parente, R. Jorge, T. Mascarenhas
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引用次数: 2

摘要

骨盆底由一组软组织结构组成,由肌肉网络支撑,肌肉网络通过筋膜和纤维肌肉组织的凝聚相互连接并与骨盆相连[1]。由于临床、技术和伦理原因,不可能在体内获得这些软组织的特性。因此,需要利用逆法对这些结构的力学性能进行估计。为了获得Mooney-Rivlin本构模型的最优力学常数[2],本文实现了一种优化算法。优化算法采用python脚本语言对Matlab®和Abaqus®软件进行耦合。算法的优化部分采用了鲍威尔方法。
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Using an inverse method for optimizing the material constants of the Mooney-Rivlin constitutive model
The pelvic floor is made up of a set of soft tissue structures, supported by a network of muscles, which are in turn attached to each other and to the pelvis by condensations of fascial and fibromuscular tissues [1]. For clinical, technical and ethical reasons it is not possible to obtain the properties of these soft tissues in vivo. The utilization of Inverse Method is therefore required in order to obtain estimates for the mechanical properties of these structures. In this work, an optimization algorithm was implemented in order to obtain the optimal mechanical constants for the Mooney-Rivlin constitutive model [2]. The optimization algorithm uses the python scripting language to couple the Matlab® and Abaqus® software. The Powell's method was used for the optimization part of the algorithm.
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