Poisson Theory of Elastic Plates, 1st ed. 2021 Springer Tracts in Mechanical Engineering Series

This groundbreaking book resolves the main lacuna in Kirchhoff theory of bending of plates in the Poisson-Kirchhoff boundary conditions paradox through the 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.- Laminated Plates with Anisotropic Plies.- Poisson Theory of Plates with Fourier Sinusoidal Series.           

Dr. K. Vijayakumar is a retired Professor in Department of Aerospace Engineering at Indian Institute of Science (IISc), Bangalore, India. He has been selected for the 2017 Albert Nelson Marquis Lifetime Achievement Award. He was also honored by the Aerospace Engineering Department of IISc which presented him with the ‘Platinum Jubilee Distinguished Service Award’. His published work has been cited extensively by researchers all over the world. Dr. Vijayakumar is a reviewer for several journals of national and international repute. He is a research advisor at Nanyang Academyof Sciences, Singapore. 

Dr. Girish Kumar Ramaiah is a retired professor of Mechanical Engineering and Registrar (Academic), M.S. Ramaiah Institute of Technology, India. He pursued his Ph.D. degree from the Indian Institute of Science, India. He has been awarded with the Alexander von Humboldt Fellowship at TH Darmstadt, and Leverhulme American/Commonwealth Fellowship at Queen’s University, Belfast. His areas of interest lie in structural mechanics (statics and dynamics), elastic stability, and mathematical methods for analysis. Dr. Ramaiah is an active reviewer for several journals of national and international repute. 

Resolves decades old Poisson-Kirchhoff Boundary Conditions paradox for analysis of bending of elastic plates

Concepts and methods presented will lead to new areas of research

Augment reader’s insights into application of developed Poisson theory