Mathematical Methods in Continuum Mechanics of Solids

• Main Authors: Kružík, Martin (Author, http://id.loc.gov/vocabulary/relators/aut), Roubíček, Tomáš (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: Interaction of Mechanics and Mathematics,
• Subjects: Mechanics.; Mechanics, Applied.; Mathematical physics.; Thermodynamics.; Heat engineering.; Heat transfer.; Mass transfer.; Vibration.; Dynamical systems.; Dynamics.; Solid Mechanics.; Mathematical Applications in the Physical Sciences.; Engineering Thermodynamics, Heat and Mass Transfer.; Vibration, Dynamical Systems, Control.

This book primarily focuses on rigorous mathematical formulation and treatment of static problems arising in continuum mechanics of solids at large or small strains, as well as their various evolutionary variants, including thermodynamics. As such, the theory of boundary- or initial-boundary-value p...

Table of Contents:

• Static Problems
• Description of Deformable Stressed Bodies
• Elastic Materials
• Polyconvex Materials: Existence Of Energy-Minimizing Deformations
• General Hyperelastic Materials: Existence/Nonexistence Results
• Linearized Elasticity
• Evolution Problems
• Linear Rheological Models at Small Strains
• Nonlinear Materials with Internal Variables at Small Strains
• Thermodynamics of Selected Materials and Processes
• Evolution at finite Strains.