Data fitting and simulation of hyperelastic and viscoelastic properties of soft tissue

Chong-lin Yin
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Abstract

Real deformation modeling of soft tissue is a major difficulty in the development of virtual surgery. The solution of this difficulty requires in-depth research on the mechanical properties of soft tissue. This paper is devoted to the study of constitutive relations in soft tissue mechanical models: viscoelastic model and hyperelastic model. Through a series of experiments and calculations, the stability and applicability of various hyperelastic models were evaluated. The coefficients and exponents of Prony Series in viscoelastic generalized Maxwell model were calculated and optimized. Finally, tensile simulation was carried out based on the existing constitutive model. The results showed that the large intestine soft tissue data fitted by van der Waals model was stable and accurate; The viscoelasticity of large intestine has little influence on the whole stretching process. The viscoelasticity will replace hyperelasticity and dominate the whole stretching process when the viscosity reaches the current 100 times.
软组织超弹性与粘弹性的数据拟合与模拟
软组织的真实变形建模是虚拟外科发展的一个主要难点。解决这一难题需要对软组织的力学性能进行深入的研究。本文研究了软组织力学模型中的本构关系:粘弹性模型和超弹性模型。通过一系列的实验和计算,评价了各种超弹性模型的稳定性和适用性。对粘弹性广义Maxwell模型中proony级数的系数和指数进行了计算和优化。最后,基于已有的本构模型进行拉伸仿真。结果表明,范德华模型拟合的大肠软组织数据稳定、准确;大肠的粘弹性对整个拉伸过程影响不大。当黏度达到目前的100倍时,粘弹性将取代超弹性并主导整个拉伸过程。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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