Constitutive modeling of the non-linear visco-elasticity of the periodontal ligament
Constitutive modeling of the non-linear visco-elasticity of the periodontal ligament
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DOI：
10.1016/j.cmpb.2011.03.014
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发表时间：
2011-11-01
影响因子：
6.1
通讯作者：
Komatsu, Koichiro
中科院分区：
文献类型：
--
作者：
Natali, Arturo N.;Pavan, Piero G.;Komatsu, Koichiro
采用非线性粘弹性本构模型来描述牙周膜的松弛现象。粘弹性的非线性配方的引入是必要的，因为从文献中参考动物模型的实验数据表明，松弛速率取决于所施加的应变水平。特别地，松弛的百分比随着施加的应变的减小而增加。本构模型与PDL在高速率加载和组织获得的大应变的情况下的非线性弹性行为一致。PDL的弹性行为采用超弹性公式，该公式采用适当的应力和应变措施。该模型考虑了胶原纤维的空间取向引起的组织各向异性，相对于最近提出的描述PDL非线性粘弹性的数值公式，该模型具有更符合组织微观结构和大应变的优点。所得到的结果表明，一个合理的描述PDL松弛现象，可以通过假设松弛时间是独立的应变，而相对刚度的结果是依赖于通过指数函数施加的应变。(C)2011爱思唯尔爱尔兰有限公司保留所有权利。
A non-linear visco-elastic constitutive model is adopted to describe the relaxation phenomena of the periodontal ligament (PDL). The introduction of a non-linear formulation of visco-elasticity is necessary because experimental data from the literature referring to animal models show that the relaxation rate depends on the level of strain applied. In particular, the percentage of relaxation increases with decrease of the applied strain. The constitutive model is consistent with the non-linear elastic behavior of the PDL in the case of high rate loading and large strains attained by the tissue. A hyperelastic formulation is adopted for the elastic behavior of the PDL and this formulation is developed adopting suitable measures of stress and strain. The anisotropy of the tissue induced by specific spatial orientation of collagen fibers is included in the model.With respect to recent numerical formulation proposed to describe the non-linear visco-elasticity of the PDL, the proposed model has the advantage of being more consistent with the micro-structural configuration of the tissue and the large strains it can undergo. The results obtained show that a reasonable description of the PDL relaxation phenomena can be obtained by assuming that relaxation times are independent of strain, whereas the relative stiffness results are dependent on strain applied through an exponential function. (C) 2011 Elsevier Ireland Ltd. All rights reserved.