Quasi-Static Analysis of the Lattice Material Cantilever Beam in Abaqus/Explicit

Abstract

A general procedure for the quasi-static analysis in Abaqus/Explicit is determined through a two-dimensional (2D) plane strain element cantilever beam model with orthotropic material properties. The results from the explicit dynamic analysis are compared to the linear static ones in Abaqus/Standard, and the influence of load rate and fixed mass scaling is assessed. A special set of boundary conditions (BCs) is defined through a series of linear equations in Abaqus/Standard, which can reduce the stress concentrations caused by clamping and point load introduction of the cantilever beam model under the uniaxial tension and bending load cases. Based on a beam element Body-Centered Cubic (BCC) lattice unit cell (UC) model, a cantilever beam lattice is generated. Two three-dimensional (3D) solid element cantilever beam models with different orthotropic material properties and two 2D plane strain element cantilever beam models with the same orthotopic material properties and different element types are also studied. The homogenized elasticity tensors that are implemented are obtained from the solid element and beam element BCC UC models. In addition to the deformation behaviors and stress distributions, the apparent Young’s modulus and flexural stiffness values from all models are obtained and compared.