多結晶材料の摩擦を伴う塑性変形過程の2次均質化有限要素解析

抄録

The computational simulation of the plastic deformation behavior of the polycrystalline material accompanying the friction is performed using the second-order homogenization finite element (FE) method. The dynamically updated boundary condition (BC), which can describe the relative slip displacement under counter-friction force, is introduced to reproduce the progress of nodal displacement and force BCs during the rolling process. To directly solve the displacement under the BC accompanying friction force, the components of the stiffness matrix constructed by the macroscopic FE structure are edited using the friction coefficient and the contact angle. The elasto-viscoplastic mechanical behavior of the microscopic polycrystalline structure is described by the conventional crystalline plasticity FE method, and the relative scale-depended micro- to macroscopic FE model is established using the second-order homogenization method. The computational simulations of the rolling process with different friction coefficients were performed using the established FE model. The computational results represent increase and decrease in the rolling force owing to changes in the contact area.