Continuum Mechanics and Theory of Materials

This book covers the modern trends in development of the theory of material behaviour and is an introduction to understand the advanced theories of mechanics.

This treatise attempts to portray the ideas and general principles of the theory of materials within the framework of phenomenological continuum mechanics. It is a well-written mathematical introduction to classical continuum mechanics and deals with concepts such as elasticity, plasticity, viscoelasticity and viscoplasticity in nonlinear materials. The aim of a general theory of material behaviour is to provide a classified range of possibilities from which a user can select the constitutive model that applies best. The book will be invaluable to graduate students of materials science in engineering and in physics. The new edition includes additional analytical methods in the classical theory of viscoelasticity. This leads to a new theory of finite linear viscoelasticity of incompressible isotropic materials. Anisotropic viscoplasticity is completely reformulated and extended to a general constitutive theory that covers crystal plasticity as a special case.

Auteur
Peter Haupt ist Privatdozent an der Philipps-Universität Marburg und arbeitete unter anderem am Landesamt für Denkmalpflege in Mainz, am Rheinischen Landesmuseum Trier und als Grabungsleiter.

Résumé

The new edition includes additional analytical methods in the classical theory of viscoelasticity. This leads to a new theory of finite linear viscoelasticity of incompressible isotropic materials. Anisotropic viscoplasticity is completely reformulated and extended to a general constitutive theory that covers crystal plasticity as a special case.

Contenu
1 Kinematics.- 2 Balance Relations of Mechanics.- 3 Balance Relations of Thermodynamics.- 4 Objectivity.- 5 Classical Theories of Continuum Mechanics.- 6 Experimental Observation and Mathematical Modelling.- 7 General Theory of Mechanical Material Behaviour.- 8 Dual Variables.- 9 Elasticity.- 10 Viscoelasticity.- 11 Plasticity.- 12 Viscoplasticity.- 13 Constitutive Models in Thermomechanics.- References.