Review of the modified finite particle method and application to incompressible solids

摘要: This paper focuses on the application of Modified Finite Particle Method (MFPM) incompressibile elasticity problems. MFPM belongs to class meshless methods, nowadays widely investigated due their characteristics being totally free any kind grid or mesh. characteristic makes methods potentially useful for study large deformations problems and fluid dynamics. In particular, aim work is compare results obtained with a simple displacement-based formulation, in limit incompressibility, some formulations proposed literature full where typical divergence-free constraint replaced by different equation, so-called Pressure Poisson Equation. The show that achieves expected second-order accuracy formulation equations imposed as satisfies also original incompressibility equation. Other formulations, differently, do not satisfy constraint, thus, they are successfully applicable Method.