A novel finite element method for analyzing viscoelastic dynamics in biological tissues

Cai Kunbao, Jiang Ze-jia, Zhou Shouchang, Yang Ruifang, Yu Jihui
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引用次数: 0

Abstract

A novel finite-element method for analyzing viscoelastic dynamics in biological tissues through using two important conclusions of linear viscoelastic models and applying electrical-network theory and filtering techniques is successfully derived. The complexity of viscoelastic materials can be either as simple as isotropic or more and more complex up to extremely anisotropic. The linear viscoelastic models describing mechanical behaviors of biological tissues can be an arbitrary combination of two-kind elements and three-type fundamental models. It is confirmed that a general, systematic, and highly precise finite-element fast analysis method, that is suitable for analyzing the dynamic responses of biological tissues and engineering materials with linear viscoelastic models, can be derived.
一种分析生物组织粘弹性动力学的有限元方法
利用线性粘弹性模型的两个重要结论,应用电网络理论和滤波技术,成功地推导出一种分析生物组织粘弹性动力学的有限元方法。粘弹性材料的复杂性既可以是简单的各向同性,也可以是越来越复杂的各向异性。描述生物组织力学行为的线性粘弹性模型可以是两类单元和三类基本模型的任意组合。验证了可以推导出一种通用的、系统的、高精度的有限元快速分析方法,适用于用线性粘弹性模型分析生物组织和工程材料的动力响应。
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