Mathematical Models of Higher Orders
Shells in Temperature Fields
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Beschreibung
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. The main objective highlights the need for further study of the classical problem of shell dynamics consisting of mathematical modeling, derivation of nonlinear PDEs, and of finding their solutions based on the development of new and effective numerical techniques. The book is designed for a broad readership of graduate students in mechanical and civil engineering, applied mathematics, and physics, as well as to researchers and professionals interested in a rigorous and comprehensive study of modeling non-linear phenomena governed by PDEs.
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. The main objective highlights the need for further study of the classical problem of shell dynamics consisting of mathematical modeling, derivation of nonlinear PDEs, and of finding their solutions based on the development of new and effective numerical techniques. The book is designed for a broad readership of graduate students in mechanical and civil engineering, applied mathematics, and physics, as well as to researchers and professionals interested in a rigorous and comprehensive study of modeling non-linear phenomena governed by PDEs.
Exemplifies the vast range of mathematical models of nonlinear dynamics and statics of continuous mechanical structural members Offers a new class of generalized problems of diffraction in theory of shells based on the fundamental variational equations of thermomechanics of shallow shells Features new results regarding nonlinear dynamics of the studied objects, including regular and non-regular vibrations and their bifurcations
Autor*in
Vadim A. Krysko
Themen in »Mathematical Models of Higher Orders«
Kirchhoff-Love model Faedo-Galerkin method thermoelastic shells evolutionary equations theory of design Timoshenko hypothesis Sheremetev-Pelekh-Reddy-Levinson third approximation model Grigolyuk-Kulikov model chaotic vibrations partial differential equations
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“The book is easy to read. The reviewer enjoyed reading the book. The book is a welcome reading for academics, researchers and professionals interested in a rigorous and comprehensive study of modeling nonlinear phenomena governed by PDEs. The book will also be useful to graduate and doctoral students in mechanical, civil and aeronautical engineering, and to applied mathematicians and physicists.” (Girish Kumar Ramaiah, zbMATH 1436.74001, 2020)
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