This treatise attempts to portray the ideas and general principles of the theory of materials within the framework of phenomenological continuum mechanics....
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Résumé
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 isotropie materials. Anisotropic viscoplasticity is completely reformulated and extended to a general constitutive theory that covers crystal plasticity as a special case.
Sommaire
Kinematics
Balance Relations of Mechanics
Balance Relations of Thermodynamics
Objectivity
Classical Theories of Continuum Mechanics
Experimental Observation and Mathematical Modelling