A necessary condition for energy-minimizing plane deformations of elastic solids with intrinsic boundary elasticity

Mathematics and Mechanics of Solids

Volumn 2, Issue 1, 1997, Pages 3-16

  Steigmann, David J ^a,c   Ogden, Raymond W ^b  

^a UNIVERSITY OF ALBERTA   (Canada)

^b UNIVERSITY OF GLASGOW   (United Kingdom)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BONDING; COATINGS; CONSTRAINT THEORY; ELASTICITY; KINEMATICS; SOLIDS; STRAIN;

ENERGY MINIMIZING PLANE; INCOMPRESSIBILITY;

DEFORMATION;

EID: 0031094604     PISSN: 10812865     EISSN: None     Source Type: Journal    
DOI: 10.1177/108128659700200101     Document Type: Article

References (5)

1. Steigmann, D. J. and Ogden, R. W.: Plane deformations of elastic solids with intrinsic boundary elasticity. Proc. R. Soc. Lond. A (forthcoming).
2. Haughton, D. M., Ogden, R. W. and Steigmann, D. J.: The effect of elastic surface coating on the finite deformation and bifurcation of a pressurized circular annulus, manuscript submitted for publication.
3. Steigmann, D. J.: The variational structure of a nonlinear theory for spatial lattices. Meccanica, 31, 441-455 (1996).
4. Ogden, R. W.: Non-Linear Elastic Deformations, Ellis Horwood, Chichester, UK, 1984.
5. Lee, S. J. and Shield, R. T.: Variational principles in finite elastostatics. ZAMP, 31, 437-453 (1980).