An asymptotic finite plane deformation analysis of the elastostatic fields at a notch vertex of an incompressible hyperelastic material

Comptes Rendus - Mecanique

Volumn 336, Issue 9, 2008, Pages 737-743

  Arfaoui, Makrem ^a   Mansouri, Khalil ^a   Rezgui, Ali ^b  

^a UNIVERSITY OF TUNIS EL MANAR   (Tunisia)

^b Michelin   (France)

Author keywords

Asymptotic analysis; Hyperelasticity; Mixed mode loading; Notch vertex; Singularity; Stress

Indexed keywords

ASYMPTOTIC ANALYSIS; ELASTOPLASTICITY; PLASTIC DEFORMATION; STRESS ANALYSIS;

DEFORMATION; ELASTICITY; LOADING;

EID: 50649090012     PISSN: 16310721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crme.2008.07.003     Document Type: Article

References (10)

1. Williams M.L. Surface singularities resulting from various boundary conditions in angular corners of plates in extension. J. Appl. Mech. ASME 19 (1952) 526-528
2. Xiaolin P. On stress singularity at tips of plane notches. Mech. Res. Comm. 13 (1986) 173-178
3. Knowles J.K., and Sternberg E. An asymptotic finite-deformation analysis of the elastostatic field near the tip of a crack. J. Elasticity 3 (1973) 67-107
4. Knowles J.K., and Sternberg E. Finite-deformation analysis of the elastostatic field near the tip of a crack: reconsideration and higher order results. J. Elasticity 4 (1974) 201-233
5. Stephenson R.A. The equilibrium field near the tip of a crack for finite plane strain of incompressible elastic materials. J. Elasticity 12 (1982) 65-99
6. Tarantino A.M. The singular equilibrium field at the notch-tip of a compressible material in finite elastostatics. Z. Angew. Math. Phys. 48 (1997) 370-388
7. Tarantino A.M. On extreme thinning at the notch tip of a neo-Hookean sheet. Quart J. Mech. Appl. Math. 51 (1998)
8. Ru C.Q. Finite deformations at the vertex of a bi-material wedge. Int. J. Fracture 84 (1997) 325-350
9. Gao Y.C., and Gao T.S. Notch-tip fields in rubber-like materials under tension and shear mixed load. Int. J. Fracture 78 (1996) 283-298
10. K. Mansouri, The singular equilibrium field at a notch vertex for finite plane strain of an incompressible Mooney-Rivlin hyperelastic material, Master thesis, Ecole Nationale d'Ingénieurs de Tunis, 2007