# AN APPLICATION OF HYPERPLASTICITY TO DETERMINE THE BEHAVIOR OF A PLANE STRESS CANTILEVER BEAM

### HAI THAN NGUYEN, LAM NGUYEN SY

Hyperplasticity is an approach to plasticity theory based on thermodynamic principles. By using this concept, the entire constitutive model behavior can be determined from two scalar potential functions, one is the energy function and the other is the yield function or the dissipation function. In this paper, the hyperplasticity model for homogeneous and isotropic material is derive and implemented in finite element method (FEM) to solve a particular problem in structure analysis, the behavior of a cantilever beam. The Gibbs free energy function and the Von Mises yield function are chosen to derive the elasto-plastic response of structures. Besides, kinematic hardening with single yield surface model is employed to describe the behavior when yield occur. The result shows that the application of hyperplasticity to FEM can be another proper way for non-linear analysis. Moreover, it reveals the ability to develop more sophisticated model using multiple yield surfaces in cases of cyclic loading.

Full Text (PDF)