Overview
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 problems for linear or quasilinear elliptic, parabolic or hyperbolic partial differential equations is the main underlying mathematical tool, along with the calculus of variations. Modern concepts of these disciplines as weak solutions, polyconvexity, quasiconvexity, nonsimple materials, materials with various rheologies or with internal variables are exploited. This book is accompanied by exercises with solutions, and appendices briefly presenting the basic mathematical concepts and results needed. It serves as an advanced resource and introductory scientific monograph for undergraduate or PhD students in programs such as mathematical modeling, applied mathematics, computational continuum physics and engineering, as well as for professionals working in these fields.
Full Product Details
Author: Martin Kružík ,
Tomáš Roubíček
Publisher: Springer Nature Switzerland AG
Imprint: Springer Nature Switzerland AG
Edition: 1st ed. 2019
Weight: 0.955kg
ISBN: 9783030020644
ISBN 10: 3030020649
Pages: 617
Publication Date: 20 March 2019
Audience:
Professional and scholarly
,
Professional & Vocational
Format: Paperback
Publisher's Status: Active
Availability: Manufactured on demand
We will order this item for you from a manufactured on demand supplier.
Reviews
“Advanced mathematical concepts are presented in a logical and clear manner, making the book accessible to graduate students as well as non-mathematicians working on problems in continuum mechanics of solids. … The book is very well organized and well written. The mathematical results are clearly presented.” (Corina- Stefania Drapaca, Mathematical Reviews, November, 2019)
Advanced mathematical concepts are presented in a logical and clear manner, making the book accessible to graduate students as well as non-mathematicians working on problems in continuum mechanics of solids. ... The book is very well organized and well written. The mathematical results are clearly presented. (Corina- Stefania Drapaca, Mathematical Reviews, November, 2019)
Author Information
Martin Kružík is a Senior Researcher at the Institute of Information Theory and Automation of the Czech Academy of Sciences and an Associate Professor at Charles University and at the Czech Technical University in Prague, having received his habilitation from the Technical University Munich. His research interests range from calculus of variations and applied mathematical analysis to mathematical problems of continuum physics. Tomáš Roubíček is a Professor at Charles University in Prague, as well as a Researcher at the Institutes of Thermomechanics and of Information Theory and Automation of the Czech Academy of Sciences. With an engineering background, his professional activity has evolved from computer simulations of systems of nonlinear partial differential equations, numerical mathematics and optimization theory to applied mathematical analysis focused on mathematical modeling in engineering and physics.
