A simple solution procedure to 3D-piezoelectric problems: Isotropic BEM coupled with a point collocation method

Nicolas Thurieau (1) , Richard Kouitat Njiwa (1) , M'Barek Taghite (1)

1 IJL - Institut Jean Lamour

This paper presents a simple strategy allowing to adapt well established isotropic BEM approach for the solution of coupled problems with anisotropic material parameters. The method which is illustrated on the case of a piezoelectric material is based on the partition of the primary fields into complementary and particular parts. The complementary fields solve the isotropic form of the partial differential equation while particular fields are obtained by a point collocation of the strong form equation. Using the local radial point interpolation method, the effectiveness and accuracy of approach is demonstrated on some examples allowing a comparison with literature results.

Mots clés: Piezoelectric; BEM; Meshfree strong form; Radial basis function

Domaines: Mécanique [physics.med-ph]

Nicolas Thurieau, Richard Kouitat Njiwa, M'Barek Taghite. A simple solution procedure to 3D-piezoelectric problems: Isotropic BEM coupled with a point collocation method. Engineering Analysis with Boundary Elements, 2012, 36 (11), pp.1513-1521. ⟨10.1016/j.enganabound.2012.04.008⟩. ⟨hal-01152959⟩