AN ENERGY FUNCTION FOR TRANSVERSELY-ISOTROPIC ELASTIC MATERIAL AND THE PONYTING EFFECT

  • Akinola, Ade (Mathematics Department Obafemi Awolowo University)
  • Published : 1999.09.01

Abstract

On the basis of the semi-linear material of John invoking the theory of homogenization for heterogeneous media and the theory of invariants for isotropic scalar functions an energy function is built for a transversely-isotropic medium in finite elastic deformation. The ponyting Effect for material in simple shear is reviewed for this case of transversal isotropy. It is shown that this effect is apprehended by the constructed energy function.

Keywords

References

  1. International Science Review Series, Vol Ⅲ The Mechanical Foundation of Elasticity and Fluid Dynamics C.A.Truesdell
  2. Nonlinear Elasticity A.I.Lurie
  3. ICTP Preprint IC/96/281 An Energy Function for transtropic Elastic Material A.Akinola
  4. Variational Methods in Theoretical Mechanics(2nd edition) J.T.Oden;J.N.Reddy
  5. Large Elastic Deformations A.E.Green;J.Adkins
  6. Introduction to Rational Elasticity C.C.Wang;C.A.Truesdell
  7. Mechanics of Composite Materials B.E.Pobedria
  8. Finite Deformations of Heterogeneous Elastic Body with Regular Structure, No. 5069-85 A.Akinola
  9. Theoretical Elasticity A.E.Green;W.Zerna
  10. Commun. Pure and Appl. Math. v.13 no.2 Plain Strain Problems for a Perfectly Elastic Materical of Harmonic Type F.John