Transformations and equation reductions in finite elasticity II: Plane stress and axially symmetric deformations

Mathematics and Mechanics of Solids

Volumn 1, Issue 2, 1996, Pages 177-192

  Arrigo, Daniel J ^a   Hill, James M ^a  

^a UNIVERSITY OF WOLLONGONG   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

AXIALLY SYMMETRIC DEFORMATIONS; ELASTIC MATERIALS; PLANE STRESS THEORY; POLAR ANGLE; PRINCIPAL STRETCH; SECOND ORDER PROBLEMS; STRAIN ENERGY FUNCTION;

DEFORMATION; ELASTICITY; FUNCTIONS; LINEARIZATION; MATHEMATICAL TRANSFORMATIONS; SHEET METAL; STRAIN; STRESS ANALYSIS;

MECHANICS;

EID: 0030164731     PISSN: 10812865     EISSN: None     Source Type: Journal    
DOI: 10.1177/108128659600100202     Document Type: Article

References (8)

1. Hill, J. M. and Arrigo, D. J.: Transformations and equation reductions in finite elasticity I: Plane strain deformations. Mathematics and Mechanics of Solids, 1, 155-175 (1996).
2. Hill, J. M. and Arrigo, D. J.: New families of exact solutions for finitely deformed incompressible elastic materials. IMA Journal of Applied Mathematics , 54, 109-123 (1995).
3. Hill, J. M. and Arrigo, D. J.: Small deformations superimposed on the symmetrical expansion of a spherical shell. Quarterly Journal of Mechanics and Applied Mathematics, 49, 19-33 (1996).
4. Green, A. E. and Adkins, J. E.: Large Elastic Deformations and Non-Linear Continuum Mechanics, UK, Oxford University Press, 1960.
5. Shield, R. T.: Inverse deformation results in finite elasticity. Journal of Applied Mathematics and Physics (ZAMP), 18, 490-500 (1967).
6. Hill, J. M.: Radial deflections of thin precompressed cylindrical rubber bush mountings. International Journal of Solids and Structures, 13, 93-104 (1977).
7. Hill, J. M.: Partial solutions of finite elasticity. II. Axially symmetric deformations. Journal of Applied Mathematics and Physics (ZAMP), 24, 409-418 (1973).
8. Hill, J. M.: Differential Equations and Group Methods for Scientists and Engineers, London, CRC Press, 1992.