Hermite MLS Approximation for Discretizing Fourth Order Partial Differential Equations Encountered in Beam and Plate Models

Pierre Joyot (1) , Francisco Chinesta (2) , Pierre Villon (3) , Daniel Batal Khoshnoudirad (2)

1 ESTIA INSTITUTE OF TECHNOLOGY
2 LMSP - Laboratoire de Mécanique des Systèmes et des Procédés
3 Roberval - Roberval

In this work we propose a novel strategy for discretizing beam and plate models in the framework of a meshless Hermite moving least square approach which allows a natural and simple enforcement of boundary conditions.

Mots clés: hermite moving least square; beam; meshless method; moving least square

Domaines: Mécanique [physics.med-ph]; Matériaux

Pierre Joyot, Francisco Chinesta, Pierre Villon, Daniel Batal Khoshnoudirad. Hermite MLS Approximation for Discretizing Fourth Order Partial Differential Equations Encountered in Beam and Plate Models. 10th ESAFORM Conference on Material Forming, 2007, Saragosse, Spain. pp.1384-1389, ⟨10.1063/1.2729708⟩. ⟨hal-01008249⟩