The Radial Natural Neighbours Interpolators Extended to Elastoplasticity

• Type: Article in International Conference Proceedings Book
• Date: 2009

Authors

Lucia Maria D S de Jesus Simas Dinis (Author) Other; Renato Manuel N Natal Jorge (Author) FEUP; Jorge Belinha (Author) FEUP

Conference proceedings International

Title: Radial Natural Neighbours Interpolators: 2D and 3D Elastic and Elastoplastic Applications

Pages: 175-198

Indexing

ISI Web of Knowledge - 15 Citations

Scopus - 24 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-003-RWS

Abstract (EN): Considering a small strain formulation a Radial Natural Neighbour Interpolator method is extended to the elastoplastic analysis. Resorting to the Voronoi tessellation the nodal connectivity is obtained. The Delaunay triangulation supplies the integration background mesh. The improved interpolation functions based on the Radial Point Interpolators are provided with the delta Kronecker property, easing the imposition of the essential and natural boundary conditions. The Newton-Raphson method is used for the solution of the nonlinear system of equations and an Hill yield surface is considered. Benchmark examples prove the high accuracy and convergence rate of the proposed method.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 24