On the relationship between the Cosserat and Kirchhoff-Love theories of elastic shells

Mathematics and Mechanics of Solids

Volumn 4, Issue 3, 1999, Pages 275-288

  Steigmann, D J ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038250193     PISSN: 10812865     EISSN: None     Source Type: Journal    
DOI: 10.1177/108128659900400301     Document Type: Article

References (10)

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3. Libai, A. and Simmonds, J. G.: The Nonlinear Theory of Elastic Shells, 2nd ed., Cambridge University Press, 1998.
4. Gurtin, M. E. and Murdoch, A. I.: A continuum theory of elastic material surfaces. Arch. Rational Mech. Anal., 57, 291-323 (1975).
5. Antman, S. S.: Nonlinear Problems of Elasticity, Springer, New York, 1995.
6. Wang, C.-C. and Cross, J. J.: On the field equations of motion for a smooth, materially uniform, elastic shell. Arch. Rational Mech. Anal., 65, 57-72 (1977).
7. Fleming, W: Functions of Several Variables, 2nd ed., Springer, New York, 1977.
8. Protter, M. H. and Morrey, C. B.: A First Course in Real Analysis, Springer, New York, 1977.
9. Casey, J. and Carroll, M. M.: Discussion of "A treatment of internally constrained materials" (by J. Casey). ASME J. Appl Mech., 63, 240 (1996).
10. Pietraszkiewicz, W.: Geometrically nonlinear theories of thin elastic shells. Adv. Mech., 12, 52-130 (1989).