A New Strain Energy Function for Hyper-Elastic Constitutive Model
Lixiang Yang (Ohio State University), Sheng-tao John Yu (The Ohio State University)
Soft Materials and Structures
Wed 9:00 - 10:30
Barus-Holley 158
This paper reports a novel strain energy function for constructing constitutive relations to model behaviour of hyper-elastic media. Aided with the concepts of statistic mechanics, this physical model captures the mechanism of large deformation of soft solids. Only one parameter is needed to model the material response of an isotropic, incompressible hyper-elastic materials. This parameter can be determined by experiment and is related to micro structure of materials, such as average chain number per unit volume, temperature, and Boltzmann’s constant. Under reasonable assumptions, this model can recover incompressible Neo-Hookean model, Mooney-Rivlin model and Odgen’s model. Two parameters are needed to determine isotropic, compressible, hyper-elastic model. It is compared to a classical compressible model in three dimensional domain which proves that the new model is unique, simple and robust.