A finite-element model for the mechanical analysis of skeletal muscles
A finite-element model for the mechanical analysis of skeletal muscles
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DOI：
10.1006/jtbi.2000.2109
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发表时间：
2000-09-07
影响因子：
2
通讯作者：
Blickhan, R
中科院分区：
文献类型：
--
作者：
Johansson, T;Meier, P;Blickhan, R
本文描述了一种模拟肌肉力学的有限元模型。基于非线性连续介质力学，提出了一种综合考虑骨骼肌收缩特性、主动特性和被动特性的算法。肌肉中的应力被认为是被动部分和主动部分叠加的结果。被动特性用超弹性本构关系来描述，而主动部分取决于纤维长度、缩短速度和激活函数。作为本构方程的一个性质，满足肌肉单元的近似不可压缩性的约束。由于材料的非线性行为和高度的动态性能，采用了包括迭代方法在内的增量过程。与以前的公式相比，该模型的优点是可以使用先进的数值工具将该单元集成到工程标准有限元程序Ansys中。该模型允许模拟肌肉招募、计算应力和应变分布以及预测肌肉形状。其他可能的应用是研究肌肉结构、惯性和冲击的影响。首先，给出了一些简单的例子。(C)2000年学术出版社。
In the present paper, a finite-element model for simulating muscle mechanics is described. Based on nonlinear continuum mechanics an algorithm is proposed that includes the contractile active and passive properties of skeletal muscle. Stress in the muscle is assumed to result from the superposition of a passive and an active part. The passive properties are described by a hyperelastic constitutive material law whereas the active part depends on the fibre length, shortening velocity and an activation function. The constraint of approximate incompressibility of the muscle element is satisfied as a property of the constitutive equations. Because of the nonlinear behaviour of the material and the highly dynamical performance an incremental procedure including iterative methods is used. The advantage of the model over previous formulations is the possibility to integrate the element into an engineering standard finite-element programme ANSYS using advanced numerical tools. The model allows simulations of muscle recruitment, calculations of stress and strain distributions and predictions of muscle shape. Other possible applications are studies of the muscle architecture, the effect of inertia and impacts. First, simple examples are presented. (C) 2000 Academic Press.