Vijayakumar K., Ramaiah G.K. Poisson Theory of Elastic Plates

Springer, 2021. — 149 p. — (Springer Tracts in Mechanical Engineering). — ISBN 9813342099.This groundbreaking book resolves the main lacuna in Kirchhoff theory of bending of plates in the Poisson-Kirchhoff boundary conditions paradox throughthe introduction of auxiliary problem governing transverse stresses.
The book highlights new primary bending problem which is formulated and analyzed by the application of developed Poisson theory. Analysis with prescribed transverse stresses along faces of the plate, neglected in most reported theories, is presented with an additional term in displacements. The book presents a systematic procedure for the analysis of unsymmetrical laminates. This volume will be a useful reference for students, practicing engineers as well as researchers in applied mechanics.Poisson Theory of Isotropic Plates in Bending
Extension Problems: Higher-Order Approximations
Homogeneous Anisotropic Plates
Laminated Plates with Anisotropic Plies Part I: Single-Layer Theories
Laminated Plates with Anisotropic Plies Part II: Layerwise Theories
Poisson Theory of Plates with Fourier Sinusoidal Series