Constitutive modeling of liver tissue: experiment and theory.

Constitutive modeling of liver tissue: experiment and theory.
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DOI:
10.1007/s10439-009-9812-0
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发表时间:
2010-02
影响因子:
3.8
通讯作者:
Desai, Jaydev P.
Desai, Jaydev P.
中科院分区:
工程技术2区
文献类型:
--
作者:
Gao, Zhan;Lister, Kevin;Desai, Jaydev P.

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真实的手术模拟需要在数学模型中纳入软组织的力学特性。在外科手术期间软组织的实际变形中,组织受到拉伸、压缩和剪切。因此,软组织在这三种变形模式下的表征和建模是必要的。本文采用无侧限压缩和单轴拉伸两种纯剪切试验来表征猪肝组织。采用数字图像相关技术精确测量组织变形场。由于重力及其对软组织的影响,在拉伸和纯剪切试验中,从样品的相对应变场观察到最大拉伸带。根据最大拉伸带的位置确定了材料的零应变状态。提出了两种新的基于指数/对数组合应变能和Ogden应变能的本构模型。该模型能够代表观察到的非线性应力-应变关系的肝脏组织的整个范围内的拉伸和压缩,也是一般的纯剪切响应。
Realistic surgical simulation requires incorporation of the mechanical properties of soft tissue in mathematical models. In actual deformation of soft-tissue during surgical intervention, the tissue is subject to tension, compression, and shear. Therefore, characterization and modeling of soft-tissue in all these three deformation modes are necessary. In this paper we applied two types of pure shear test, unconfined compression and uniaxial tension test to characterize porcine liver tissue. Digital image correlation technique was used to accurately measure the tissue deformation field. Due to gravity and its effect on the soft tissue, a maximum stretching band was observed from the relative strain field on sample undergoing tension and pure shear test. The zero strain state was identified according to the position of this maximum stretching band. Two new constitutive models based on combined exponential/logarithmic and Ogden strain energy were proposed. The models are capable to represent the observed non-linear stress–strain relation of liver tissue for full range of tension and compression and also the general response of pure shear.
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