Anti-plane shear deformations in compressible transversely isotropic materials

Journal of Elasticity

Volumn 54, Issue 1, 1999, Pages 73-88

  Tsai, Hungyu ^a   Fan, Xinjian ^a  

^a Michigan State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TRANSFORMATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; SHEAR DEFORMATION;

ANTI-PLANE SHEAR DEFORMATION; COMPRESSIBLE TRANSVERSELY ISOTROPIC MATERIALS; LEGENDRE TRANSFORMS;

ELASTICITY;

EID: 0032596568     PISSN: 03743535     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007696415296     Document Type: Article

References (11)

1. C.O. Horgan, Anti-plane shear deformations in linear and nonlinear solid mechanics, SIAM Review 37 (1995) 53-81.
2. J.K. Knowles, A note on anti-plane shear for compressible materials in finite elastostatics, Journal of the Australian Mathematical Society (Ser. B) 20 (1977) 1-7.
3. J.K. Knowles, On anti-plane shear for incompressible elastic materials, Journal of the Australian Mathematical Society (Ser. B) 19 (1976) 400-415.
4. Q. Jiang and J.K. Knowles, A class of compressible elastic materials capable of sustaining finite anti-plane shear, Journal of Elasticity 25 (1991) 193-201.
5. Q. Jiang and M.F. Beatty, On compressible materials capable of sustaining axisymmetric shear deformations. Part 1: Anti-plane shear of isotropic hyperelastic materials, Journal of Elasticity 39 (1995) 75-95.
6. H. Tsai and P. Rosakis, On anisotropic compressible materials that can sustain dynamic antiplane shear, Journal of Elasticity 35 (1994) 213-222.
7. C.O. Horgan and K.L. Miller, Antiplane shear deformations for homogeneous and inhomogeneous anisotropic linearly elastic solids, Journal of Applied Mechanics 61 (1994) 23-29.
8. P. Rosakis and H. Tsai, On the role of shear instability in the modelling of crystal twinning, Mechanics of Materials 17 (1994) 245-259.
9. P. Rosakis and H. Tsai, Dynamic twinning processes in crystals, International Journal of Solids and Structures 32(17/18) (1995) 2711-2723.
10. J.L. Ericksen and R.S. Rivlin, Large elastic deformations of homogeneous anisotropic materials, Journal of Rational Mechanics and Analysis 3 (1954) 281-301.
11. A.E. Green and J.E. Adkins, Large Elastic Deformations, Oxford University Press, London (1960).