an:05316617
Zbl 1143.74035
Mitric, Radu; Constanda, Christian
Boundary integral equation methods for a refined model of elastic plates
EN
Math. Mech. Solids 11, No. 6, 642-654 (2006).
00189151
2006
j
74K20
Betti formula; Somigliana formula; transverse normal strain; transverse shear deformation
Summary: A theory of bending of elastic plates is considered, in which the effects of transverse shear deformation and transverse normal strain are taken into account through a specific form of the displacement field. It is shown that the system of equilibrium equations is elliptic, and that Betti and Somigliana formulae can be established which permit the solution of interior and exterior Dirichlet and Neumann problems by means of boundary mtegral equation methods.