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Mathematical models of higher orders...

Krysko, Vadim A.

Mathematical models of higher ordersshells in temperature fields /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical models of higher ordersby Vadim A. Krysko ... [et al.].
Reminder of title:	shells in temperature fields /
other author:	Krysko, Vadim A.
Published:	Cham :Springer International Publishing :2019.
Description:	xii, 470 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Shells (Engineering)Mathematical models.
Online resource:	https://doi.org/10.1007/978-3-030-04714-6
ISBN:	9783030047146$q(electronic bk.)

Mathematical models of higher ordersshells in temperature fields /
Mathematical models of higher ordersshells in temperature fields /[electronic resource] :by Vadim A. Krysko ... [et al.]. - Cham :Springer International Publishing :2019. - xii, 470 p. :ill. (some col.), digital ;24 cm. - Advances in mechanics and mathematics,v.421571-8689 ;. - Advances in mechanics and mathematics ;v. 17..

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$q(electronic bk.)

Standard No.: 10.1007/978-3-030-04714-6doiSubjects--Topical Terms:

282576
Shells (Engineering)
--Mathematical models.

LC Class. No.: TA660.S5

Dewey Class. No.: 624.17762

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505 0 $a 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.
520 $a 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.
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