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Mathematical Models of Higher Orders...
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Kirichenko, Valeriy F.
Mathematical Models of Higher Orders = Shells in Temperature Fields /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Mathematical Models of Higher Orders/ by Vadim A. Krysko, Jan Awrejcewicz, Maxim V. Zhigalov, Valeriy F. Kirichenko, Anton V. Krysko.
其他題名:
Shells in Temperature Fields /
作者:
Krysko, Vadim A.
其他作者:
Awrejcewicz, Jan.
面頁冊數:
XII, 470 p. 139 illus., 133 illus. in color.online resource. :
Contained By:
Springer Nature eBook
標題:
Mathematical models. -
電子資源:
https://doi.org/10.1007/978-3-030-04714-6
ISBN:
9783030047146
Mathematical Models of Higher Orders = Shells in Temperature Fields /
Krysko, Vadim A.
Mathematical Models of Higher Orders
Shells in Temperature Fields /[electronic resource] :by Vadim A. Krysko, Jan Awrejcewicz, Maxim V. Zhigalov, Valeriy F. Kirichenko, Anton V. Krysko. - 1st ed. 2019. - XII, 470 p. 139 illus., 133 illus. in color.online resource. - Advances in Mechanics and Mathematics,421571-8689 ;. - Advances in Mechanics and Mathematics,33.
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.
ISBN: 9783030047146
Standard No.: 10.1007/978-3-030-04714-6doiSubjects--Topical Terms:
527886
Mathematical models.
LC Class. No.: TA342-343
Dewey Class. No.: 003.3
Mathematical Models of Higher Orders = Shells in Temperature Fields /
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