Mathematical Models of Higher Orders Shells in Temperature Fields /

• Main Authors: Krysko, Vadim A. (Author, http://id.loc.gov/vocabulary/relators/aut), Awrejcewicz, Jan (http://id.loc.gov/vocabulary/relators/aut), Zhigalov, Maxim V. (http://id.loc.gov/vocabulary/relators/aut), Kirichenko, Valeriy F. (http://id.loc.gov/vocabulary/relators/aut), Krysko, Anton V. (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Advances in Mechanics and Mathematics, 42
• Subjects: Mathematical models.; Statistical physics.; Partial differential equations.; Mathematical Modeling and Industrial Mathematics.; Applications of Nonlinear Dynamics and Chaos Theory.; Partial Differential Equations.
• Physical Description: XII, 470 p. 139 illus., 133 illus. in color. online resource.
• ISBN: 9783030047146
• ISSN: 1571-8689 ;
• DOI: 10.1007/978-3-030-04714-6

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.