A comparative study of several material models for prediction of hyperelastic properties: Application to silicone-rubber and soft tissues

被引:383
作者
Martins, P. A. L. S.
Jorge, R. M. Natal
Ferreira, A. J. M.
机构
[1] Univ Porto, IDMEC, Fac Engn, P-4200465 Oporto, Portugal
[2] Univ Porto, DEMEG, Dept Engn Mecan & Gestao Ind, Fac Engn, P-4200465 Oporto, Portugal
关键词
hyperelastic properties; soft tissues; uniaxial tests;
D O I
10.1111/j.1475-1305.2006.00257.x
中图分类号
TB3 [工程材料学];
学科分类号
0805 ; 080502 ;
摘要
The correct modelling of constitutive laws is of critical importance for the analysis of mechanical behaviour of solids and structures. For example, the understanding of soft tissue mechanics, because of the nonlinear behaviour commonly displayed by the mechanical properties of such materials, makes common place the use of hyperelastic constitutive models. Hyperelastic models however, depend on sets of variables that must be obtained experimentally. In this study the authors use a computational/experimental scheme, for the study of the nonlinear mechanical behaviour of biological soft tissues under uniaxial tension. The material constants for seven different hyperelastic material models are obtained via inverse methods. The use of Martins's model to fit experimental data is presented in this paper for the first time. The search for an optimal value for each set of material parameters is performed by a Levenberg-Marquardt algorithm. As a control measure, the process is fully applied to silicone-rubber samples subjected to uniaxial tension tests. The fitting accuracy of the experimental stress-strain relation to the theoretical one, for both soft tissues and silicone-rubber (typically nonlinear) is evaluated. This study intents also to select which material models (or model types), the authors will employ in future works, for the analysis of human soft biological tissues.
引用
收藏
页码:135 / 147
页数:13
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