Bøger af Vadim A. Krysko

This book is devoted to researchers and teachers, as well as graduate students, undergraduates and bachelors in engineering mechanics, nano-mechanics, nanomaterials, nanostructures and applied mathematics.

Among the theoretical methods for solving many problems of applied mathematics, physics, and technology, asymptotic methods often provide results that lead to obtaining effective algorithms of numerical evaluation. Presenting the mathematical methods of perturbation theory, this book reviews important methods of singular perturbations.

This monograph is devoted to nonlinear dynamics of thin plates and shells with thermosensitive excitation. However, the book emphasizes a rigorous mathematical treatment of the obtained differential equations, since it helps efficiently in further developing of various suitable numerical algorithms to solve the stated problems.

This monograph is devoted to advances in nonlinear dynamics of continuous elastic systems. A major part of the book is dedicated to the analysis of non-homogenous continua.

This book offers a valuable methodological approach to the state-of-the-art of the classical plate/shell mathematical models, exemplifying the vast range of mathematical models of nonlinear dynamics and statics of continuous mechanical structural members.

From the reviews: "A unique feature of this book is the nice blend of engineering vividness and mathematical rigour. [...] The authors are to be congratulated for their valuable contribution to the literature in the area of theoretical thermoelasticity and vibration of plates." Journal of Sound and Vibration