Isogeometric Analysis Applied to Large Elasto-Plastic Deformation in Solid Mechanics

In this paper, new achievement is presented in the isogeometric modeling of large elasto-plastic deformation in solid problems. The computational technique is presented based on the isogeometric method coupled with the Lagrangian formulation conjugate Green's strain tensor with the linear and nonlinear terms to eliminate the approximation of the Cauchy stress to model arbitrary interfaces in large deformations. Isogeometric analysis is a novel numerical method which has been used in various engineering problems. This method has uniqe characteristics and can be a substitute for other numerical methods such as the finite element method and the meshless method. The large elasto-plastic deformation formulation is employed within the isogeometric framework to simulate the nonlinear behavior of materials. Finally, several numerical examples are analyzed to demonstrate the efficiency of the isogeometric technique in large deformations.

کلیدواژه ها:

Isogeometric analysis ، NURBS ، Large deformation ، Lagrangian formulation ، Elastoplasticity