A Hybrid Finite Volume Meshless Method and its Application to Elasto-Plastic Problems

Abstract

The meshless finite volume method was employed to enforce the conservation of momentum in a local weak form. A novel hybrid meshless finite volume method (HMFVM) was proposed. The displacement and the stress were interpolated independently with a hybrid scheme in the process. To enforce the compatibility between stress and displacement, a smoothing stress was introduced via finite volume method. In this way, the HMFVM can avoid the appearance of derivatives of shape functions and improve the efficiency over the orthodox meshless finite volume method. Then, the HMFVM was applied to some Elasto-plastic problems, illustrating that it enjoys high precision and efficiency. As a result, the derivatives of shape function are avoid absolutely.