---

＜電子ブック＞
Mathematical Models of Higher Orders : Shells in Temperature Fields / by Vadim A. Krysko, Jan Awrejcewicz, Maxim V. Zhigalov, Valeriy F. Kirichenko, Anton V. Krysko
(Advances in Mechanics and Mathematics. ISSN:18769896 ; 42)

版	1st ed. 2019.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2019
大きさ	XII, 470 p. 139 illus., 133 illus. in color : online resource
著者標目	*Krysko, Vadim A author Awrejcewicz, Jan author Zhigalov, Maxim V author Kirichenko, Valeriy F author Krysko, Anton V author SpringerLink (Online service)
件　名	LCSH:Mathematical models LCSH:Nonlinear Optics LCSH:Differential equations FREE:Mathematical Modeling and Industrial Mathematics FREE:Nonlinear Optics FREE:Differential Equations
一般注記	1. Introduction -- 2. Mathematical Modeling of Nonlinear Dynamics of Continuous Mechanical Structures with Account of Internal and ExternalTemperature Fields -- 3. Nonclassical Models and Stability of Multi-Layer Orthotropic Thermoplastic Shells within Timoshenko Modified Hypotheses -- 4. General Problems of Diffraction in Theory of Design - Nonlinear Shells and Plates Locally Interacting with Temperature Fields -- 5. Stability of Flexible Shallow Shells Subjected to Transversal Load and Heat Flow -- 6. Mathematical Models of Multi-Layer Flexible Orthotropic Shells Under Temperature Field -- 7. Chaotic Dynamics of Closed Cylindrical Shells Under Local Transversal Load and Temperature Field (First Order Kirschhof–Love Approximation Model) -- Index 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 HTTP:URL=https://doi.org/10.1007/978-3-030-04714-6

 類似資料