Title: A new 3D finite element for the finite deformation of nearly incompressible hyperelastic solids

Authors: Ashutosh Bijalwan; B.P. Patel

Addresses: Department of Applied Mechanics, Indian Institute of Technology Delhi, New Delhi-110016, India ' Department of Applied Mechanics, Indian Institute of Technology Delhi, New Delhi-110016, India

Abstract: Volumetric locking is exhibited by nearly incompressible solids such as rubber, resulting in over-stiffening response of the finite element mesh. In this work, we developed the displacement-based computationally efficient volumetric locking-free 3D finite element using smoothening of determinant of deformation gradient (J-Bar method) within the framework of isotropic hyperelasticity. The developed methodology is employed to analyse a rubber block undergoing finite stretch and bending deformations. The convergence study for finite stretch and bending of rubber block is presented. Results of the analysis show that J-Bar method efficiently removes the volumetric locking.

Keywords: incompressible; locking; finite deformation; J-Bar method; Neo-Hookean rubber.

DOI: 10.1504/IJMSI.2019.100391

International Journal of Materials and Structural Integrity, 2019 Vol.13 No.1/2/3, pp.67 - 80

Received: 05 May 2018
Accepted: 21 Jun 2018
Published online: 28 Jun 2019 *

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