The Eshelby tensor and the theory of continuous distributions of inhomogeneities

Mechanics Research Communications

Volumn 29, Issue 6, 2002, Pages 501-506

  Epstein, Marcelo ^a  

^a UNIVERSITY OF CALGARY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

DEFORMATION; HEAT FLUX; MATHEMATICAL TRANSFORMATIONS; NUMERICAL METHODS; PLASTICITY; STRESSES; TENSORS; THERMODYNAMIC PROPERTIES;

CONFIGURATIONAL FORCE; CONTINUOUS DISLOCATION; ESHELBY TENSOR; MATERIAL EVOLUTION;

ELASTICITY;

EID: 0036859135     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0093-6413(02)00303-8     Document Type: Article

References (13)

1. Eshelby, J.D., 1951. The force on an elastic singularity. Philos. Trans. Roy. Soc. London A 244, 87-112.
2. Noll, W., 1967. Materially uniform simple bodies with inhomogeneities. Arch. Rational Mech. Anal. 27, 1-32.
3. Wang, C.C. 1967. On the geometric structure of simple bodies: A mathematical foundation for the theory of continuous distributions of dislocations. Arch. Rational Mech. Anal. 27, 33-94.
4. Kondo, K., 1955. Geometry of elastic deformation and incompability. Memoirs of the unifying utudy of the basic problems in engineering ecience by means of geometry. Tokyo Gakujutsu Benken Fukyu-Kai.
5. Kroener, E., 1960. Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen. Arch. Rational Mech. Anal. 4, 273-334.
6. Epstein, M., Maugin, G.A., 1990a. Sur le tenseur de moment matériel d'Eshelby en élasticité non linéaire. C. R. Acad. Sci. Paris 310/II, 675-768.
7. Epstein, M., Maugin, G.A., 1990b. The energy-momentum tensor and material uniformity in finite elasticity. Acta Mechanica 83, 127-133.
8. Epstein, M., 1992, Eshelby-like tensors in thermoelasticity. In: Muschik, W., Maugin, G.A. (Eds.). Nonlinear thermomechanical processes in continua. vol. 61. TUB-Dokumentation, Berlin, pp. 147-459.
9. Epstein, M., Maugin, G.A., 1995. Thermoelastic material forces: definition and geometric aspects. C. R. Acad. Sci. Paris 320/11b 63-68.
10. Epstein, M., Maugin, G.A., 1996. On the geometrical material structure of anelasicity. Acta Mechanica 115, 119-131.
11. Epstein, M., 1999a. On the anelastic evolution of second-grade materials. Extracta Mathematicae 14, 157-161.
12. Epstein, M., 1999b. Towards a complete second-order evolution law. Math. Mech. Solids 4, 251-266.
13. Epstein, M., Maugin, G.A., 2000. Thermomechanics of volumetric growth in uniform bodies. Int. J. Plast. 16, 951-978.