Recent Developments in Thermomechanics of Solids

ISBN-13: 9783211815977 / Angielski / Miękka / 1980 / 415 str.

G. Lebon

Opis

The main objective of the contributions contained in this volume is to present the thermodynamic foundations of the response of elastic and dissipative materials. In particular, the governing equations of non linear thermoelasticity and thermoinelasticity as well as the basic properties of these equations as resulting from the primary assumptions of continuum thermodynamics are derived. The global formulation of thermodynamics of continua is discussed. A special attention is paid to the properties of the balance equations on a singular surface. The possible forms of the second law of thermodynamics are discussed within the frame work ofaxiomatic thermodynamics. Furthermore, the thermodynamiG requirements for differ ent kinds of materials are examined. The secondary purpose of the Course was to discuss some connections between rational and classical formulations of the principles of thermodynamics. The present volume contains the texts of three (of the four delivered) Course lectures. I hope it will constitute a useful source of information on the problems presented and discussed in Udine. Special thanks are due to the International Centre for Mechanical Sciences whose direction encouraged us to prepare and to deliver the lectures."

Spis treści

1. The Notion of a Thermodynamic Process in Continua.- 2. Balance Laws.- 3. Thermoelastic Materials.- 4. Heat Conduction in Thermoelastic Materials.- 5. Waves in Thermoelastic Materials.- 1. Global Formulation of Thermodynamics of Continua.- 2. General Material Structure.- 3. Internal State Variable Material Structure.- 4. Rate Type Material Structure.- 5. Isomorphic Material Structures (Isothermal Processes).- 6. Thermo-Viscoplasticity for Finite Strains.- 7. Thermoplasticity for Finite Deformations.- I. Basic Concepts of the Calculus of Variation.- II. Variational Principles in Classical Mechanics and in Elasticity.- III. Variational Theory of Heat Conduction.- IV. Coupled Thermoelasticity.