Mathematical Methods in Continuum Mechanics of Solids

Kru?ík, Martin; Roubícek, Tomá?

ISBN 10: 3030020649 / ISBN 13: 9783030020644

Editore: Springer, 2019

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Dati bibliografici

• Titolo: Mathematical Methods in Continuum Mechanics of Solids
• Editore: Springer
• Data di pubblicazione: 2019
• Lingua: Inglese
• ISBN 10: 3030020649
• ISBN 13: 9783030020644
• Rilegatura: Brossura
• Condizione: New

Descrizione articolo

Riassunto

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.

 

Informazioni sull?autore

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 Roubícek 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 di?erential equations, numerical mathematics and optimization theory to applied mathematical analysis focused on mathematical modeling in engineering and physics.