Mathematical methods in continuum mechanics of solids

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...

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Main Author: Kružík, Martin,
Other Authors: Roubiček, Tomáš, 1956-, SpringerLink (Online service)
Format: eBook
Language: English
Published: Cham, Switzerland : Springer, 2019.
Physical Description: 1 online resource (xiii, 617 pages) : illustrations (some color).
Series: Interaction of mechanics and mathematics series.
Subjects:
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.