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.

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 f...

Table of Contents:

• 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.