Improved Carroll’s hyperelastic model considering compressibility and its finite element implementation

作     者：Stephen Kirwa Melly Liwu Liu Yanju Liu Jinsong Leng Stephen Kirwa Melly;Liwu Liu;Yanju Liu;Jinsong Leng

作者机构：Department of Astronautical Science and MechanicsHarbin Institute of Technology(HIT)Harbin 150001China Center for Composite Materials and StructuresHarbin Institute of Technology(HIT)Harbin 150080China 

出 版 物：《Acta Mechanica Sinica》 (力学学报（英文版）)

年 卷 期：2021年第37卷第5期

页      面：785-796,I0002页

核心收录：

学科分类：08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 080502[工学-材料学] 

基　　金：supported by the National Natural Science Foundation of China(Grants 11632005 and 11672086) 

主　　题：Elastomers Rubber-like Strain energy function Finite deformation 

摘      要：In engineering component design,material models are increasingly used in finite element simulations for an expeditious and less costly analysis of the design *** such,researchers strive to formulate models that are less complex,robust,and *** the realm of hyperelastic materials,phenomenological-based Carroll’s model is highly promising due to its simplicity and *** work proposes its further improvement by modifying the strain energy density function to comply with the restriction that it should vanish at reference configuration and adding a compressible term to capture the practical behavior of elastomeric materials and to avoid numerical problems during finite element *** model constants for both the original and the modified versions were obtained by fitting their respective expressions to the classical Treloar’s experimental data using the Levenberg-Marquardt *** modified model was implemented using Abaqus CAE 2016 via a vectorized user material(VUMAT)*** of the model predictions with Treloar’s experimental data demonstrated the superiority of the modified version particularly in the equibiaxial loading ***,the simulated and the experimentally observed behavior agreed to a great accuracy thus making the modified model suitable for simulating the loading response of components fabricated of elastomeric materials.