Extending radial point interpolating meshless methods to the elasto-plastic analysis of aluminium alloys

Elastoplastic response and failure assessment of steel alloys: Empirical and computational analyses

“…Each two‐dimensional influence domain ought to include roughly n = [9, 16] points, see Figure A. In the present work, the authors considered the numerical integration scheme recommended in the relevant research work . Earlier study suggested that a‐3 × 3‐integration point for every integration cell is appropriated, see Figure A.…”

“…Figure B shows a generic influence cell regarding x I ⊂ Ω. The NNRPIM technique permits the formation of two distinct influence cell structures: the first and the second‐degree influence cell. Referring to previous studies, both approaches own proper advantages .…”

“…Figure B elucidates the influence cell concept. Detailed studies of this topic can be found in the literature . Figure C,D signifies the integration mesh structure.…”

“…Both RPIM and NNRPIM shape functions can be achieved relying on the radial point interpolators combining radial with polynomial basis functions, r ( x ) and p ( x ), respectively. The shape parameters of the MQ‐RBF, c and p , are predefined constants reported as c = 1.420 and p = 1.030 in former studies . In relation to NNRPIM analysis, it follows the assumptions of Dinis et al signifying that the optimum amount must be c ≪ 1 and p ≅ 1.…”

“…From the optical point of view, DIC adopts tracking and image registration to evaluate the strain variation appropriate for dissimilar material behaviours . Finite element analysis incorporated with the empirical data contributes to assess the stress and strain state fields.…”