Non-Smooth Thermomechanics
By: by Michel Frémond
Publisher: Springer Berlin Heidelberg
Published: 2002
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 480
ISBN-13: 9783642085789; 9783662048009
Subjects: Mechanics; Mathematics; Mechanics, applied; Physics; Thermodynamics
Description: Based on practical problems in mechanical engineering, the author develops in this book the fundamental concepts of non-smooth thermomechanics and introduces the necessary background material needed to deal with mechanics involving discontinuities and non-smooth constraints. From this point, powerful methods for the applied mathematician and the mechanical engineer are derived, and applied to numerous cases including collisions of deformable and non-deformable solids, shape memory alloys, damage of materials, soil freezing, supercooling and solid--liquid phase changes, to name but a few. This book will be of great value to both the researcher and practitioner, but it can also be used as an advanced text for students in civil and mechanical engineering.
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Table of contents: title: Description of a Material; title: The Principle of Virtual Power; title: The Constitutive Laws: Case of No Constraint on the State Quantities or Their Velocities; title: The Constitutive Laws: Case with Constraints on the State Quantities; title: The Constitutive Laws on a Discontinuity Surface; title: Deformable Solids with Interactions at a Distance; title: Deformable Solids Without Interaction at a Distance; title: Collision of Rigid Bodies. Multiple Collisions; title: Evolution of Two Deformable Solids with Collisions; title: Material with Volume Interactions at a Distance. Fibers; title: Solid-Liquid Phase Change. Supercooling. Soil Freezing; title: Damage. Gradient of Damage; title: Shape Memory Alloys; title: Unilateral Contact. Contact with Adhesion; title: Appendix.