Introduction to Nonlinear Thermomechanics of Solids

Beschreibung

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.
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.





Includes advanced background needed for effective addressing of most complex engineering problems Up-to-date numerical aspects of solution techniques are discussed Theoretical derivations are followed by carefully prepared computational exercises and solutions Includes supplementary material: sn.pub/extras

Autor*in

Michał Kleiber

Themen in »Introduction to Nonlinear Thermomechanics of Solids«

computational solid mechanics nonlinear thermomechanics of deformable bodies tensor algebra and analysis variational methods finite element method CIMNE

Stimmen zu »Introduction to Nonlinear Thermomechanics of Solids«

“This book introduces thermomechanics mathematically. … The book is a good introduction for beginners who want to do research in solid mechanics and/or thermomechanics. It can be used as a textbook for courses involving solid mechanics/thermomechanics. For computer professionals dealing with engineering problems, this is a good introduction.” (Maulik A. Dave, Computing Reviews, computingreviews.com, October, 2016)

Details

Link teilen