Configurational Forces as Basic Concepts of Continuum PhysicsSpringer Science & Business Media, 29/12/1999 - 250 من الصفحات For the last decade, the author has been working to extend continuum mechanics to treat moving boundaries in materials focusing, in particular, on problems of metallurgy. This monograph presents a rational treatment of the notion of configurational forces; it is an effort to promote a new viewpoint. Included is a presentation of configurational forces within a classical context and a discussion of their use in areas as diverse as phase transitions and fracture. The work should be of interest to materials scientists, mechanicians, and mathematicians. |
المحتوى
Interfacial fields | 7 |
Kinematics | 22 |
Standard forces Working | 25 |
Configurational forces | 34 |
Thermodynamics Relation between bulk tension and energy | 41 |
Change in reference configuration | 50 |
Second | 66 |
Inertia Basic equations for the interface | 72 |
General theory with standard and configurational stress | 138 |
Twodimensional theory with standard and configurational stress | 149 |
Solidification with interfacial energy and entropy | 164 |
G Fracture | 172 |
Motions | 182 |
The second | 190 |
Basic results for the crack | 196 |
Fracture in three space dimensions results | 208 |
Coherent phase interfaces | 88 |
d | 91 |
23 | 98 |
Second | 108 |
C | 115 |
A2 Strong principle of virtual work | 232 |
| 239 | |
| 244 | |
| 246 | |
طبعات أخرى - عرض جميع المقتطفات
عبارات ومصطلحات مألوفة
angle convex arbitrary Assume b⁹ basic equations body force boundary bulk field changes in material CHAPTER configurational force balance configurational stress consider consistent constitutive equations crack tip Ctan curve defined deformation gradient denote discussion divergence theorem e⁹ entropy equivalent Eshelby external f Cn f Sn Frank(J free energy function gtip Gurtin hence identity inertial interfacial energy interfacial stress internal configurational force internal force invariant under changes kinetic energy kink krel linear material vectors migrating control volume momentum motion velocity normal velocity outward unit normal principle of virtual represents satisfied scalar scalar field second law smooth spatial observer spatial vectors standard and configurational standard force superficial tensor field surface shear surface tension tangential component term theory tip control volume transport theorem vector field velocity field yields ӘР
مقاطع مشهورة
الصفحة 243 - Gurtin, Multiphase thermomechanics with interfacial structure. 2. Evolution of an isothermal interface.