Asymptotic Methods in the Theory of Plates with MixedBoundary Conditions comprehensively covers the theoreticalbackground of asymptotic approaches and their use in solvingmechanical engineering-oriented problems of structural members,primarily plates (statics and dynamics)with mixed boundary conditions.The first part of this book introduces the theory and applicationof asymptotic methods and includes a series of approaches that havebeen omitted or not rigorously treated in the existing literature.These lesser known approaches include the method of summation andconstruction of the asymptotically equivalent functions, methods ofsmall and large delta, and the homotopy perturbations method.The second part of the book contains original results devoted tothe solution of the mixed problems of the theory of plates,including statics, dynamics and stability of the studied objects.In addition, the applicability of the approaches presented to otherrelated linear or nonlinear problems is addressed.Key features:* Includes analytical solving of mixed boundary valueproblems* Introduces modern asymptotic and summationprocedures* Presents asymptotic approaches for nonlinear dynamics ofrods, beams and plates* Covers statics, dynamics and stability of plates withmixed boundary conditions* Explains links between the Adomian and homotopyperturbation approachesAsymptotic Methods in the Theory of Plates with MixedBoundary Conditions is a comprehensive reference forresearchers and practitioners working in the field of Mechanics ofSolids and Mechanical Engineering, and is also a valuable resourcefor graduate and postgraduate students from Civil and MechanicalEngineering.