A note on anti-plane shear for compressible materials in finite elastostatics
- 1 June 1977
- journal article
- research article
- Published by Cambridge University Press (CUP) in The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
- Vol. 20 (1) , 1-7
- https://doi.org/10.1017/s0334270000001399
Abstract
This note gives a necessary and sufficient condition that a compressible, isotropic elastic material should admit non-trivial states of finite anti-plane shear.Keywords
This publication has 3 references indexed in Scilit:
- Plane elastic waves of finite amplitude. Hadamard materials and harmonic materialsCommunications on Pure and Applied Mathematics, 1966
- Application of Finite Elastic Theory to the Deformation of Rubbery MaterialsTransactions of the Society of Rheology, 1962
- Some generalizations of the shear problem for isotropic incompressible materialsMathematical Proceedings of the Cambridge Philosophical Society, 1954