Non-Smooth Thermomechanics

Softcover Nachdruck of hardcover 1. Auflage 2002
ISBN: 978-3-642-08578-9
Verlag: Springer

Buch, Englisch, 480 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 750 g

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.

Zielgruppe

Research

Autoren/Hrsg.

Fremond, Michel

Fachgebiete

• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Technische Thermodynamik
• Technische Wissenschaften Bauingenieurwesen Bauingenieurwesen
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Naturwissenschaften Physik Thermodynamik Oberflächen- und Grenzflächenphysik, Dünne Schichten

Inhaltsverzeichnis

1. The Description of a Material.- 3. The Constitutive Laws. Case of No Constraint on the State Quantities or Their Velocities.- 5. The Constitutive Laws on a Discontinuity Surface.- 6. Deformable Solids with Interactions at a Distance.- 7. Deformable Solids Without Interaction at a Distance.- 8. Collision of Rigid Bodies. Multiple Collisions.- 9. Evolution of Two Deformable Solids with Collisions.- 10. Material with Volume Interactions at a Distance. Fibre Reinforced Material.- 11. Solid—Liquid Phase Change. Supercooling. Soil Freezing.- 12. Damage. Gradient of Damage.- 13. Shape Memory Alloys.- 14. Unilateral Contact. Contact with Adhesion.- A.1 Convex Functions.- A.1.1 Subgradient of a Convex Function. Subdifferential Set.- A.1.2 Indicator Function of a Set.- A.1.5 Indicator Function of the Segment [0, 1].- A.1.7 Indicator Function of a Triangle.- A.1.9 A Property of the Subdifferential Set.- A.1.10The Dual Function of a Convex Function.- A.2 Material Derivatives.- A.2.1 Material Derivative of a Function.- A.2.2 Material Derivative of a Surface Integral.- A.2.3 Material Derivative of a Double Surface Integral.- A.2.4 Mass Balance on a Surface.- A.2.5 Material Derivatives of Integrals of Mass Densities.- References.