Skip to main content
Log in

On the anti-plane shear problem in finite elasticity

  • Published:
Journal of Elasticity Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Ericksen, J. L., Equilibrium of bars. J. Elasticity 5 (1975) 191–201.

    Google Scholar 

  2. Knowles, J. K. and E., Sternberg, On the failure of ellipticity and the emergence of discontinuous deformation gradients in plane finite elastostatics. J. Elasticity 8 (1978) 329–379.

    Google Scholar 

  3. Knowles, J. K., On finite anti-plane shear for incompressible elastic materials. J. Australian Math. Soc. 19(B) (1976) 400–415.

    Google Scholar 

  4. Knowles, K. K., A note on anti-plane shear for compressible materials in finite elastostatics. J. Australian Math. Soc. 20(B) (1977) 1–7.

    Google Scholar 

  5. Knowles, J. K., The finite anti-plane shear field near the tip of a crack for a class of incompressible elastic solids. Int. J. Fracture 13 (1977) 611–639.

    Google Scholar 

  6. Knowles, J. K. and E., Sternberg, On the ellipticity of the equations of nonlinear elastostatics for a special material. J. Elasticity 5 (1975) 341–361.

    Google Scholar 

  7. Knowles, J. K. and E., Sternberg, On the failure of ellipticity of the equations for finite elastostatic plane strain. Arch. Rational Mech. Anal. 63 (1977) 221–236.

    Google Scholar 

  8. Knowles, J. K. and E., Sternberg, Discontinuous deformation gradients near the tip of a crack in finite anti-plane shear: an example. J. Elasticity 10 (1980) 81–110.

    Google Scholar 

  9. Truesdell, C. and W., Noll, The non-linear field theories of mechanics. Handbuch der Physik. III/3. Berlin: Springer-Verlag, 1965.

    Google Scholar 

  10. Lions, J. L. and E., Magenes, Nonhomogeneous boundary value problems and applications. Berlin: Springer-Verlag, 1972.

    Google Scholar 

  11. Ekeland, I. and R., Temam, Convex Analysis and Variational Problems. Amsterdam: North-Holland, New York: Elsevier, 1976.

    Google Scholar 

  12. Aubert, G. and R., Tahraoui, Theoremes d'existence en calcul des variations. J. Diff. Eqts. 33 (1979) 1–15.

    Google Scholar 

  13. Ball J. M., Constitutive inequalities and existence theorems in nonlinear elastostatics. Nonlinear Analysis and Mechanics: Heriot-Watt Shmposium 1, 187–241. London: Pitman.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gurtin, M.E., Temam, R. On the anti-plane shear problem in finite elasticity. J Elasticity 11, 197–206 (1981). https://doi.org/10.1007/BF00043860

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00043860

Keywords

Navigation