A meshfree cell-based smoothed radial point interpolation method for damage problems
Palavras-chave:
Smoothed Point Interpolation Methods (S-PIMs), Cell-based (CS), Radial point intepolation method (RPIM), Meshfree methods, Scalar damageResumo
Meshfree methods belonging to the class of Smoothed Point Interpolation Methods (S-PIM) have been
shown to provide certain advantages with respect to the standard finite element method (FEM), when dealing with
physically nonlinear problems. The present work extends the Cell-Based Smoothed Radial Point Interpolation
Method with polynomial reproduction (CS-RPIMp), originally proposed for linear problems, to the case of damage
models. The weakened-weak (W2
) formulation and peculiar integration scheme which this method is based on have
been extended to nonlinear damage models. Some numerical examples of nonlinear problems with different kinds
of boundary conditions, performed using different strategies for support nodes selection based on the T-schemes
(T4-, T6/3- and T2L-schemes), are presented, aiming to point out the accuracy, convergence and efficiency of the
Cell-Based Smoothed Radial Point Interpolation Method with polynomial reproduction in comparison with the
standard finite element method.
