超弹性材料
缩进
材料科学
奥格登
剪切模量
有限元法
本构方程
独特性
聚二甲基硅氧烷
机械
材料性能
弹性(物理)
各向同性
复合材料
压力(语言学)
弹性模量
变形(气象学)
模数
结构工程
数学分析
数学
物理
工程类
作者
Man-Gong Zhang,Yanping Cao,Guo-Yang Li,Xi-Qiao Feng
标识
DOI:10.1007/s10237-013-0481-4
摘要
A comprehensive study on the spherical indentation of hyperelastic soft materials is carried out through combined theoretical, computational, and experimental efforts. Four widely used hyperelastic constitutive models are studied, including neo-Hookean, Mooney–Rivlin, Fung, and Arruda–Boyce models. Through dimensional analysis and finite element simulations, we establish the explicit relations between the indentation loads at given indentation depths and the constitutive parameters of materials. Based on the obtained results, the applicability of Hertzian solution to the measurement of the initial shear modulus of hyperelastic materials is examined. Furthermore, from the viewpoint of inverse problems, the possibility to measure some other properties of a hyperelastic material using spherical indentation tests, e.g., locking stretch, is addressed by considering the existence, uniqueness, and stability of the solution. Experiments have been performed on polydimethylsiloxane to validate the conclusions drawn from our theoretical analysis. The results reported in this study should help identify the extent to which the mechanical properties of hyperelastic materials could be measured from spherical indentation tests.
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