Non-Smooth Thermomechanics [E-Book] / by Michel Frémond.
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, powerfu...
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Full text |
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Personal Name(s): | Frémond, Michel, author |
Imprint: |
Berlin, Heidelberg :
Springer,
2002
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Physical Description: |
XVI, 480 p. online resource. |
Note: |
englisch |
ISBN: |
9783662048009 |
DOI: |
10.1007/978-3-662-04800-9 |
Subject (LOC): |
- 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.