A new 3D finite element for the finite deformation of nearly incompressible hyperelastic solids Online publication date: Fri, 28-Jun-2019
by Ashutosh Bijalwan; B.P. Patel
International Journal of Materials and Structural Integrity (IJMSI), Vol. 13, No. 1/2/3, 2019
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.
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