On smoothly growing bodies and the eshelby tensor

Meccanica

Volumn 31, Issue 5, 1996, Pages 507-518

  Segev, Reuven ^a  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

Author keywords

Eshelby tensor; Growing bodies; Kinematics; Thermomechanics of continua; Velocity field

Indexed keywords

KINEMATICS; MATHEMATICAL MODELS; STRESSES; STRUCTURE (COMPOSITION); TENSORS; VELOCITY;

CONFIGURATIONAL FORCES; ESHELBY TENSOR; GROWING BODIES;

CONTINUUM MECHANICS;

EID: 0030264554     PISSN: 00256455     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00420822     Document Type: Article

References (7)

1. Dunford, N. and Schwartz, J.T., Linear Operators, Vol. 1 , Wiley-Interscience, Chichester, 1971, pp. 43.
2. Eshelby, J.D., 'Energy relations and the energy-momentum tensor in continuum mechanics', In: M.F. Kanninen, W.F. Adler, A.R. Rosenfield, R.I. Jaffee (Editors), Inelastic Behavior of Solids, McGraw-Hill, New York, 1969, pp. 77-115.
3. Gurtin, M.E., 'The nature of configurational forces', Archive for Rational Mechanics and Analysis, 1995 (to appear).
4. Michor, P. W., Manifolds of Differentiable Mappings, Shiva, London, 1980.
5. Segev, R., 'On the definition of forces in continuum mechanics', In: A. Blaquière, G. Leitmann (Editors), Dynamical Systems and Microphysics Control Theory and Mechanics, Academic Press, 1984, pp. 341-357.
6. Segev, R., 'Forces and the existence of stresses in invariant continuum mechanics', Journal of Mathematical Physics, 27 (1986) 163-170.
7. Segev, R. and de Botton, G., 'On the consistency conditions for force systems', International Journal of Nonlinear Mechanics, 26 (1991) 47-59.