LEADER 04099nam 22005775 450 001 9910338250503321 005 20200629125526.0 010 $a3-030-04714-8 024 7 $a10.1007/978-3-030-04714-6 035 $a(CKB)4100000007610981 035 $a(DE-He213)978-3-030-04714-6 035 $a(MiAaPQ)EBC5702847 035 $a(PPN)235004227 035 $a(EXLCZ)994100000007610981 100 $a20190211d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical Models of Higher Orders $eShells in Temperature Fields /$fby Vadim A. Krysko, Jan Awrejcewicz, Maxim V. Zhigalov, Valeriy F. Kirichenko, Anton V. Krysko 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XII, 470 p. 139 illus., 133 illus. in color.) 225 1 $aAdvances in Mechanics and Mathematics,$x1571-8689 ;$v42 311 $a3-030-04713-X 327 $a1. 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. 330 $aThis book offers a valuable methodological approach to the state-of-the-art of the classical plate/shell mathematical models, exemplifying the vast range of mathematical models of nonlinear dynamics and statics of continuous mechanical structural members. The main objective highlights the need for further study of the classical problem of shell dynamics consisting of mathematical modeling, derivation of nonlinear PDEs, and of finding their solutions based on the development of new and effective numerical techniques. The book is designed for a broad readership of graduate students in mechanical and civil engineering, applied mathematics, and physics, as well as to researchers and professionals interested in a rigorous and comprehensive study of modeling non-linear phenomena governed by PDEs. 410 0$aAdvances in Mechanics and Mathematics,$x1571-8689 ;$v42 606 $aMathematical models 606 $aStatistical physics 606 $aPartial differential equations 606 $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068 606 $aApplications of Nonlinear Dynamics and Chaos Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P33020 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 615 0$aMathematical models. 615 0$aStatistical physics. 615 0$aPartial differential equations. 615 14$aMathematical Modeling and Industrial Mathematics. 615 24$aApplications of Nonlinear Dynamics and Chaos Theory. 615 24$aPartial Differential Equations. 676 $a003.3 700 $aKrysko$b Vadim A$4aut$4http://id.loc.gov/vocabulary/relators/aut$0842079 702 $aAwrejcewicz$b Jan$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aZhigalov$b Maxim V$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aKirichenko$b Valeriy F$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aKrysko$b Anton V$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910338250503321 996 $aMathematical Models of Higher Orders$92517366 997 $aUNINA