MODIFIED FINITE PARTICLE METHOD: APPLICATIONS TO ELASTICITY AND PLASTICITY PROBLEMS

D. ASPRONE, F. AURICCHIO, A. REALI
2014 International Journal of Computational Methods  
Meshless methods are widely investigated and successfully implemented in many applications, including mechanics, fluid-dynamics, and thermo-dynamics. Within this context, this paper introduces a novel particle approach for elasticity, namely the Modified Finite Particle Method, derived from existing projection particle formulations, however presenting second order convergence rates when used to solve elastic boundary value problems. The formulation is discussed and some applications to
more » ... cations to bidimensional elastic and elasto-plastic problems are presented. The obtained numerical results confirm the accuracy of the method, both in elasticity and in plasticity applications.
doi:10.1142/s0219876213500503 fatcat:zqucx7xu3bffdidbluuaxgn3b4