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Finite element implementation of a stochastic three dimensional finite-strain damage model for fibrous soft tissue

机译:纤维软组织随机三维有限应变损伤模型的有限元实现

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摘要

A fully three dimensional finite-strain damage model for fibrous soft tissue is here presented. The model assumes uncoupled contributions for the matrix and collagen fibers, and uncoupled bulk and deviatoric response over any range of deformations. A simple isotropic damage mechanism within the framework of continuum damage mechanics has been used to describe the softening behavior under deformation for the matrix. On the other hand, statistical aspects related to the length distribution of the reinforcing fibers lead to a damage model for the reinforcing material. As a result, a general theoretical framework for constitutive modeling of biological soft tissue with continuum damage is obtained. The formulation has been implemented in a finite element framework and the capabilities of the model tested in three computer simulations of inhomogeneous boundary value problems. The results show the quadratic rate of convergence of the implementation and the ability to describe typical stress-strain behavior of fiber reinforced soft tissues.
机译:本文介绍了纤维软组织的完整三维有限应变破坏模型。该模型假设基质和胶原纤维的耦合作用没有耦合,并且在任何变形范围内都没有耦合的体积和偏斜响应。一个简单的各向同性破坏机制在连续破坏机制的框架内被用来描述基质变形下的软化行为。另一方面,与增强纤维的长度分布有关的统计方面导致增强材料的损伤模型。结果,获得了具有连续性损伤的生物软组织的本构模型的一般理论框架。该公式已在有限元框架中实现,并且模型的功能已在不均匀边界值问题的三台计算机模拟中进行了测试。结果显示了实现的二次收敛率以及描述纤维增强软组织典型应力-应变行为的能力。

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