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Introduction to nonlinear thermomechanics of solids

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Introduction to nonlinear thermomechanics of solids/ by Michal Kleiber, Piotr Kowalczyk.
Author:	Kleiber, Michal.
other author:	Kowalczyk, Piotr.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	viii, 345 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Nonlinear mechanics. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-33455-4
ISBN:	9783319334554

Introduction to nonlinear thermomechanics of solids
Kleiber, Michal.

Introduction to nonlinear thermomechanics of solids[electronic resource] /by Michal Kleiber, Piotr Kowalczyk. - Cham :Springer International Publishing :2016. - viii, 345 p. :ill., digital ;24 cm. - Lecture notes on numerical methods in engineering and sciences,1877-7341. - Lecture notes on numerical methods in engineering and sciences..

The first part of this textbook presents the mathematical background needed to precisely describe the basic problem of continuum thermomechanics. The book then concentrates on developing governing equations for the problem dealing in turn with the kinematics of material continuum, description of the state of stress, discussion of the fundamental conservation laws of underlying physics, formulation of initial-boundary value problems and presenting weak (variational) formulations. In the final part the crucial issue of developing techniques for solving specific problems of thermomechanics is addressed. To this aim the authors present a discretized formulation of the governing equations, discuss the fundamentals of the finite element method and develop some basic algorithms for solving algebraic and ordinary differential equations typical of problems on hand. Theoretical derivations are followed by carefully prepared computational exercises and solutions.

ISBN: 9783319334554

Standard No.: 10.1007/978-3-319-33455-4doiSubjects--Topical Terms:

596497
Nonlinear mechanics.

LC Class. No.: QA808

Dewey Class. No.: 531.3

Introduction to nonlinear thermomechanics of solids
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520 $a The first part of this textbook presents the mathematical background needed to precisely describe the basic problem of continuum thermomechanics. The book then concentrates on developing governing equations for the problem dealing in turn with the kinematics of material continuum, description of the state of stress, discussion of the fundamental conservation laws of underlying physics, formulation of initial-boundary value problems and presenting weak (variational) formulations. In the final part the crucial issue of developing techniques for solving specific problems of thermomechanics is addressed. To this aim the authors present a discretized formulation of the governing equations, discuss the fundamentals of the finite element method and develop some basic algorithms for solving algebraic and ordinary differential equations typical of problems on hand. Theoretical derivations are followed by carefully prepared computational exercises and solutions.
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