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首页> 外文期刊>Computer methods in biomechanics and biomedical engineering >Updated Lagrangian finite element formulations of various biological soft tissue non-linear material models: a comprehensive procedure and review
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Updated Lagrangian finite element formulations of various biological soft tissue non-linear material models: a comprehensive procedure and review

机译：各种生物软组织非线性材料模型的更新拉格朗日有限元公式：全面的程序和综述

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摘要

Simplified material models are commonly used in computational simulation of biological soft tissue as an approximation of the complicated material response and to minimize computational resources. However, the simulation of complex loadings, such as long-duration tissue swelling, necessitates complex models that are not easy to formulate. This paper strives to offer the updated Lagrangian formulation comprehensive procedure of various non-linear material models for the application of finite element analysis of biological soft tissues including a definition of the Cauchy stress and the spatial tangential stiffness. The relationships between water content, osmotic pressure, ionic concentration and the pore pressure stress of the tissue are discussed with the merits of these models and their applications.
机译：简化的材料模型通常用于生物软组织的计算仿真中，作为复杂材料响应的近似值，以最大程度地减少计算资源。但是，模拟复杂的负荷（例如长时间的组织肿胀）需要复杂的模型，这些模型不容易制定。本文努力为各种软材料的有限元分析应用提供各种非线性材料模型的更新拉格朗日公式化综合过程，包括柯西应力和空间切向刚度的定义。利用这些模型的优点及其应用讨论了含水量，渗透压，离子浓度和组织的孔隙压力应力之间的关系。

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