Mathematical Methods in Continuum Mechanics of Solids

Mathematical Methods in Continuum Mechanics of Solids
Author :
Publisher : Springer
Total Pages : 624
Release :
ISBN-10 : 9783030020651
ISBN-13 : 3030020657
Rating : 4/5 (657 Downloads)

Book Synopsis Mathematical Methods in Continuum Mechanics of Solids by : Martin Kružík

Download or read book Mathematical Methods in Continuum Mechanics of Solids written by Martin Kružík and published by Springer. This book was released on 2019-03-02 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Mathematical Methods in Continuum Mechanics of Solids Related Books

Mathematical Methods in Continuum Mechanics of Solids
Language: en
Pages: 624
Authors: Martin Kružík
Categories: Science
Type: BOOK - Published: 2019-03-02 - Publisher: Springer

DOWNLOAD EBOOK

This book primarily focuses on rigorous mathematical formulation and treatment of static problems arising in continuum mechanics of solids at large or small str
Nonlinear Continuum Mechanics of Solids
Language: en
Pages: 201
Authors: Yavuz Basar
Categories: Science
Type: BOOK - Published: 2013-11-11 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

The aim of the book is the presentation of the fundamental mathematical and physical concepts of continuum mechanics of solids in a unified description so as to
Applied Mechanics of Solids
Language: en
Pages: 820
Authors: Allan F. Bower
Categories: Science
Type: BOOK - Published: 2009-10-05 - Publisher: CRC Press

DOWNLOAD EBOOK

Modern computer simulations make stress analysis easy. As they continue to replace classical mathematical methods of analysis, these software programs require u
Mathematical Modeling in Continuum Mechanics
Language: en
Pages: 356
Authors: Roger Temam
Categories: Science
Type: BOOK - Published: 2005-05-19 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

Temam and Miranville present core topics within the general themes of fluid and solid mechanics. The brisk style allows the text to cover a wide range of topics
Methods of Fundamental Solutions in Solid Mechanics
Language: en
Pages: 314
Authors: Hui Wang
Categories: Technology & Engineering
Type: BOOK - Published: 2019-06-06 - Publisher: Elsevier

DOWNLOAD EBOOK

Methods of Fundamental Solutions in Solid Mechanics presents the fundamentals of continuum mechanics, the foundational concepts of the MFS, and methodologies an