A micromechanical finite element model to compute the overall instantaneous stiffness of fiber-reinforced composites in elastoplastic response is presented. This model is applicable to a periodic diamond array of elastic circular fibers embedded in an elastic-plastic matrix subjected to a plane stress loading. This model enforces symmetry and anti-symmetry conditions isolating the smallest unit cell and should greatly increase the speed of doing "built-in" micromechanics within a larger finite element program, because of the small number of degrees of freedom (12-14 DOF). At this stage of development, effective properties of a composite with a nearly incompressible matrix are presented to assess the model's plasticity performance. Comparison with a fine grid finite element solution shows very good results and demonstrates the effectiveness of the mini-model presented.
All Science Journal Classification (ASJC) codes
- Civil and Structural Engineering
- Modelling and Simulation
- Materials Science(all)
- Mechanical Engineering
- Computer Science Applications