超弹性胶原材料本构关系的对数应变模型  

Logarithmic Model of Strain for Constitutive Equations of Hyperelastic Collagen Materials

作　　者：单一峰[1] 徐凯宇[1,2] 

机构地区：[1]上海大学上海市应用数学和力学研究所,上海200072 [2]上海大学理学院,上海200444

出　　处：《上海大学学报（自然科学版）》2012年第2期186-190,共5页Journal of Shanghai University:Natural Science Edition

基　　金：国家自然科学基金资助项目(10772106;11072138)

摘　　要：获得不可压缩条件下自然对数表示的各向同性超弹性胶原材料的本构关系,给出2组对数应变张量不变量,由弹性能量密度直接推导得到对数应变与Cauchy应力偏量间的本构关系.将理论模型与单向拉伸实验数据进行对比,结果表明模型及参数选择有效.We have obtained natural characterization of incompressibility constraint,leading to stress-strain relations for isotropic,incompressible hyperelastic collagen materials using the logarithmic strain tensor measure.We have also obtained two sets of suitably-defined invariants of the logarithmic strain tensor.Constitutive equations for logarithmic strain and Cauchy stress are derived directly from the elastic energy density.Comparisons between the model and experimental data in uniaxial tension indicate efficiency of the constitutive model and dependence of material parameters.

关 键 词：超弹性胶原材料 对数应变 不变量 本构方程 

分 类 号：O331[理学—一般力学与力学基础]