A three-dimensional element-free Galerkin elastic and elastoplastic formulation

✍ Scribed by William Barry; Sunil Saigal

• Publisher: John Wiley and Sons
• Year: 1999
• Tongue: English
• Weight: 397 KB
• Volume: 46
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/(sici)1097-0207(19991020)46:5<671::aid-nme650>3.0.co;2-9

✦ Synopsis

A small strain, three-dimensional, elastic and elastoplastic Element-Free Galerkin (EFG) formulation is developed. Singular weight functions are utilized in the Moving-Least-Squares (MLS) determination of shape functions and shape function derivatives allowing accurate, direct nodal imposition of essential boundary conditions. A variable domain of in#uence EFG method is introduced leading to increased e$ciency in computing the MLS shape functions and their derivatives. The elastoplastic formulations are based on the consistent tangent operator approach and closely follow the incremental formulations for non-linear analysis using "nite elements. Several linear elastic and small strain elastoplastic numerical examples are presented to verify the accuracy of the numerical formulations.