عنوان

Mathematical methods in continuum mechanics of solids /

(Number (ISBN

3030020657

(Number (ISBN

3030300196

(Number (ISBN

9783030020651

(Number (ISBN

9783030300197

Erroneous ISBN

3030020649

Erroneous ISBN

9783030020644

Title Proper

Mathematical methods in continuum mechanics of solids /

General Material Designation

[Book]

First Statement of Responsibility

Martin Kružík, Tomáš Roubíček.

Place of Publication, Distribution, etc.

Cham, Switzerland :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

2019.

Specific Material Designation and Extent of Item

1 online resource (xiii, 617 pages) :

Other Physical Details

illustrations (some color)

Series Title

Interaction of mechanics and mathematics,

ISSN of Series

1860-6245

Text of Note

Includes bibliographical references and index.

Text of Note

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.

0

Text of Note

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, 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.

International Standard Book Number

9783030020644

International Standard Book Number

9783030020668

Continuum mechanics-- Mathematics.

Engineering.

Mechanics, Applied.

Mechanics.

Vibration.

SCI096000

TGMD

TGMD

Number

Edition

Class number

Kružík, Martin

Roubiček, Tomáš,1956-

Date of Transaction

20200823073749.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y