DEVELOPMENT OF OPEN SOURCE FINITE ELEMENT SOLVER “LD-FEM’ FOR MODELING AND SIMULATION OF RUBBER MATERIALS
ABSTRACT: “LD-FEM” is an open
source computer program working on the basis of finite element method (FEM) which
is aimed to model and simulate large deformation in rubber materials. The kinematics of large deformation on
the basis of
the Total Lagrange
framework is applied
to linear 4-nodes
tetrahedral element and then
solved with Newton-Raphson iterative
scheme. Furthermore, to
obtain the material tangent stiffness
directly from strain
energy density functions,
the Gill-Murray theory
of numerical second derivative is
used in LD-FEM. Finally, by using the Mooney-Rivlin strain energy function, the
performance of LD-FEM is addressed for uniaxial tensile, shear and torsion
loading tests. The results confirm the capability of LD-FEM to capture
nonlinear behavior of the large deformation either with analytical or numerical
approach on the material stiffness derivation with error less than 2%.
Author: Sugeng Waluyo
Journal Code: jptmesingg140003
