Stress Singularity in an Elastic Cylinder of Cylindrically Anisotropic Materials

Journal of Elasticity

Volumn 69, Issue 1-3, 2002, Pages 1-13

  Tarn, Jiann Quo ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

Cylinder; Cylindrical anisotropy; Generalized plane strain; Stress singularity; Torsion

Indexed keywords

CYLINDERS (CONTAINERS); ELASTIC MODULI; ELASTICITY; ROTATION; STRAIN MEASUREMENT; TORSIONAL STRESS;

ANISOTROPIC MATERIALS; CYLINDRICAL ANISOTROPY; ELASTIC CYLINDERS; STRESS SINGULARITY;

STRESS ANALYSIS;

EID: 0344496203     PISSN: 03743535     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1027338114509     Document Type: Article

References (14)

1. D. Gal and J. Dvorkin, Stresses in anisotropic cylinders. Mech. Res. Comm. 22 (1995) 109-113.
2. C.O. Horgan and S.C. Baxter, Effects of curvilinear anisotropy on radially symmetric stresses in anisotropic linear elastic solids. J. Elasticity 42 (1996) 31-48.
3. T.C.T. Ting, Pressuring, shearing, torsion and extension of a circular tube or bar of a cylindrically anisotropic material. Proc. Roy. Soc. London A 452 (1996) 2397-2421.
4. T.C.T. Ting, New solutions to pressuring, shearing, torsion, and extension of a cylindrically anisotropic elastic circular tube or bar. Proc. Roy. Soc. London A 455 (1999) 3527-3542.
5. T. Chen, C.T. Chung and W.L. Lin, A revisit of a cylindrically anisotropic tube subjected to pressuring, shearing, torsion, extension and a uniform temperature change. Internat. J. Solids Struct. 37 (2000) 5143-5159.
6. S.G. Lekhnitskii, Theory of Elasticity of an Anisotropic Elastic Body. Holden-Day, San Francisco (1963).
7. S.G. Lekhnitskii, Theory of Elasticity of an Anisotropic Body (Translated from the revised 1977 Russian edition). Mir, Moscow (1981).
8. J.Q. Tarn, Exact solutions for functionally graded anisotropic cylinders subjected to thermal and mechanical loads. Internat. J. Solids Struct. 38 (2001) 8189-8206.
9. J.Q. Tarn, Exact solutions of a piezoelectric circular tube or bar under extension, torsion, pressuring, shearing, uniform electric loading and temperature change. Proc. Roy. Soc. London A 458 (2002) 2349-2367.
10. P. Podio-Guidigli, De Giorgi's counterexample in elasticity. Quart. Appl. Math. (1977) 411-419.
11. R. Fosdick, G. Royer-Carfagni, The constraint of local injectivity in linear elasticity theory. Proc. Roy. Soc. London A 457 (2001) 2167-2187.
12. J.Q. Tarn and Y.M. Wang, Laminated composite tubes under extension, torsion, bending, shearing and pressuring: a state space approach. Internat. J. Solids Struct. 38 (2001) 9053-9075.
13. J.Q. Tarn, A state space formalism for anisotropic elasticity. Part II. Cylindrical anisotropy. Internat. J. Solids Struct. 39 (2002) 5157-5172.
14. R.M. Christensen, Properties of carbon fibers. J. Mech. Phys. Solids 42 (1994) 681-695.