A meshfree framework for the numerical simulation of elasto-plasticity deformation of ship structure

Abstract

In present work, a meshfree framework for the numerical simulation of elasto-plasticity deformation of ship structure is established. The reproducing kernel particle method (RKPM) is adopted to discretize the calculation domain, and the meshfree shell formulation is derived based on Mindlin shell theory. Then a general elasto-plasticity model is established under the meshfree shell framework, and the stress resultants are avoided since the shell formulation is based on degenerated continuum approach. By removing the normal stress from the yield function, the zero normal stress assumption is implemented. Several numerical examples are studied and the accuracy of the present elasto-plasticity model is verified. Finally, the dynamic response of the ship cabin and real ship structure under impact load are calculated, the capability of the present meshfree approach applied in complex engineering structures analysis is demonstrated.