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Book Categories |
1 | Introduction | 1 |
A | Configurational forces within a classical context | 19 |
2 | Kinematics | 21 |
3 | Standard forces. Working | 25 |
4 | Migrating control volumes. Stationary and time-dependent changes in reference configuration | 29 |
5 | Configurational forces | 34 |
6 | Thermodynamics. Relation between bulk tension and energy. Eshelby identity | 41 |
7 | Inertia and kinetic energy. Alternative versions of the second law | 46 |
8 | Change in reference configuration | 50 |
9 | Elastic and thermoelastic materials | 53 |
B | The use of configurational forces to characterize coherent phase interfaces | 61 |
10 | Interface kinematics | 63 |
11 | Interface forces. Second law | 66 |
12 | Inertia. Basic equations for the interface | 74 |
C | An equivalent formulation of the theory. Infinitesimal deformations | 81 |
13 | Formulation within a classical context | 83 |
14 | Coherent phase interfaces | 88 |
D | Evolving interfaces neglecting bulk behavior | 91 |
15 | Evolving surfaces | 93 |
16 | Configurational force system. Working | 101 |
17 | Second law | 108 |
18 | Constitutive equations | 110 |
19 | Two-dimensional theory | 115 |
E | Coherent phase interfaces with interfacial energy and deformation | 127 |
20 | Theory neglecting standard interfacial stress | 129 |
21 | General theory with standard and configurational stress within the interface | 138 |
22 | Two-dimensional theory with standard and configurational stress within the interface | 149 |
F | Solidification | 157 |
23 | Solidification. The Stefan condition as a consequence of the configurational force balance | 159 |
24 | Solidification with interfacial energy and entropy | 163 |
G | Fracture | 173 |
25 | Cracked bodies | 175 |
26 | Motions | 182 |
27 | Forces. Working | 184 |
28 | The second law | 190 |
29 | Basic results for the crack tip | 196 |
30 | Constitutive theory for growing cracks | 198 |
31 | Kinking and curving of cracks. Maximum dissipation criterion | 201 |
32 | Fracture in three space dimensions (results) | 208 |
H | Two-dimensional theory of corners and junctions neglecting inertia | 211 |
33 | Preliminaries. Transport theorems | 213 |
34 | Thermomechanical theory of junctions and corners | 218 |
I | Appendices on the principle of virtual work for coherent phase interfaces | 225 |
A1 | Weak principle of virtual work | 227 |
A2 | Strong principle of virtual work | 232 |
References | 239 | |
Index | 247 |
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