On the transformation property of the deformation gradient under a change of frame

Journal of Elasticity

Volumn 71, Issue 1-3, 2003, Pages 73-80

  Liu, I Shih ^a  

^a FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

Euclidean transformation; Galilean objectivity; Principle of material frame indifference; Reference configuration; Simple materials

Indexed keywords

CONFORMAL MAPPING; CONTINUUM MECHANICS; DEFORMATION; MATHEMATICAL TRANSFORMATIONS; TENSORS;

DEFORMATION GRADIENT; EUCLIDEAN TRANSFORMATION; GALILEAN OBJECTIVITY; MATERIAL FRAME INDIFFERENCE; REFERENCE CONFIGURATION; SIMPLE MATERIALS;

ELASTICITY;

EID: 0345761825     PISSN: 03743535     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:ELAS.0000005548.36767.e7     Document Type: Article

References (5)

1. C. Truesdell and W. Noll, The Non-Linear Field Theories of Mechanics, S. Flügge (ed.), Handbuch der Physik, Vol. III/3. Springer, Berlin/Heidelberg (1965).
2. C. Truesdell, A First Course in Rational Continuum Mechanics, Vol. 1, 2nd edn. Academic Press, Boston (1991).
3. I-Shih Liu, Continuum Mechanics. Springer, Berlin/Heidelberg (2002).
4. R.W. Ogden, Non-Linear Elastic Deformations. Dover, Mineola, New York (1997).
5. A.I. Murdoch, On objectivity and material symmetry for simple elastic solids. J. Elasticity 60 (2000) 233-242.