Finite strains at the tip of a crack in a sheet of hyperelastic material: I. Homogeneous case
Bibliographic record
Abstract
No abstract is available for this record. The assistant can identify its topic from the title, but cannot infer the study’s results.
Source: Not provided · Quality: missing
Research context
OpenAlex topics: Material Properties and Failure Mechanisms · Elasticity and Wave Propagation · Fatigue and fracture mechanics
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (26)
Show source-provided references
1. J.W. Hutchinson, Singular behavior at the end of a tensile crack in a hardening material. J. Mech. Phys. Solids 6 (1968) 13?3110.1016/0022-5096(68)90014-8 ↗
2. J.R. Rice and G.F. Rosengren, Plane strain deformation near a crack tip in a power law hardening material. J. Mech. Phys. Solids 16 (1968) 1?12.10.1016/0022-5096(68)90013-6 ↗
3. C.F. Shih, Small-scale yielding analysis of mixed-mode plane strain crack problems, in Fracture Analysis ASTM 560 (1974) pp. 187?210.
4. S.M. Sharma and N. Aravas, Determination of higher-order terms in asymptotic elastoplastic crack tip solutions. J. Mech. Phys. Solids 39(8) (1991) 1043?1072.10.1016/0022-5096(91)90051-O ↗
5. F. Wong and T. Shield, Large plane deformations of thin elastic sheets of Neo-Hookean materials. Z.A.M.P. 20 (1969) 176?199.
6. J.K. Knowles and E. Sternberg, An asymptotic finite-deformation analysis of the elastostatic field near the tip of a crack. J. Elasticity 3 (1973) 67?107.10.1007/BF00045816 ↗
7. J.K. Knowles and E. Sternberg, Finite-deformation analysis of the elastostatic field near the tip of a crack: reconsideration and higher-order results. J. Elasticity 4 (1974) 201?233.10.1007/BF00049265 ↗
8. J.K. Knowles, The finite anti-plane shear field near the tip of a crack for a class of incompressible elastic solids. Int. J. Fracture 13(5) (1977) 611?639.10.1007/BF00017296 ↗
9. J.K. Knowles, On some inherently nonlinear singular problems in finite elastostatics, in Eighth US National Congress of Applied Mechanics. UCLA (1978).
10. E. Sternberg, Some recent advances in the application of nonlinear elastostatics to singular problems, in Symposium Dedicated to the 65th Birthday of W.T. Koiter. Sijthoff and Noordhoff International Publishers (1979).11. R.A. Stephenson, The equilibrium field near the tip of a crack for finite plane strain incompressible elastic materials. J. Elasticity 12(1) (1982) 65?99.
11. K.C. Le, On the singular elastostatic field induced by a crack in a Hadamard material. Q.J. Mech. Appl. Math. 45(1) (1992) 101?117.10.1093/qjmam/45.1.101 ↗
12. J.K. Knowles, A nonlinear effect in mode II crack problems. Eng. Fract. Mech. 15(3?4) (1981) 469?476.10.1016/0013-7944(81)90072-2 ↗
13. J.K. Knowles and E Sternberg, Large deformations near the tip of an interface crack between two Neo-Hookean sheets. J. Elasticity 13 (1983) 257?293.10.1007/BF00042997 ↗
14. J.M. Herrmann, An asymptotic analysis of finite deformation near the tip of an interface crack. J. Elasticity 21 (1989) 227?269.10.1007/BF00045779 ↗
15. G. Ravichandran and W.G. Knauss, A finite elastostatic analysis of bimaterial interface cracks. Int. J. Fracture 39 (1989) 235?253.10.1007/BF00047452 ↗
16. P.H. Geubelle and W.G. Knauss, Finite strains at the tip of a crack in a sheet of hyperelastic material. II. Special bimaterial cases. Galcit SM Report 92?43, Caltech, 1992. J. Elasticity 35 (1994) 99?138.10.1007/BF00115540 ↗
17. P.H. Geubelle and W.G. Knauss, Finite strains at the tip of a crack in a sheet of hyperelastic material. III. General bimaterial case. Galcit SM Report 92?44, Caltech, 1992. J. Elasticity 35 (1994) 139?174.10.1007/BF00115541 ↗
18. P. Rosakis and A.J. Rosakis, The screw dislocation problem in incompressible finite elastostatics: a discussion of non-linear effects. J. Elasticity 20(1) (1988) 3?40.10.1007/BF00042138 ↗
19. K.R. Rajagopal and L. Tao, On an inhomogeneous deformation of a Generalized Neo-Hookean material. J. Elasticity 28 (1992) 165?184.10.1007/BF00041778 ↗
20. R. Abeyaratne, Discontinuous deformation gradients away from the tip of a crack in anti-plane shear. J. Elasticity 11(4) (1981) 373?393.10.1007/BF00058080 ↗
21. S.A. Silling, Numerical studies of loss of ellipticity near singularities in an elastic material. J. Elasticity 19(3) (1988) 213?239.10.1007/BF00045617 ↗
22. J.R. Rice, A path-independent integral and the approximate analysis of strain concentrations by notches and cracks. J. App. Mech. 35(2) (1968) 379.10.1115/1.3601206 ↗
23. J.K. Knowles and E. Sternberg, On a class of conservation laws in linearized and finite elastostatics. Arch. Rat. Mech. Analyis 44 (1972) 187?211.10.1007/BF00250778 ↗
24. C.M. Bender and S.A. Orszag, Advanced Mathematical Methods for Scientists and Engineers McGraw-Hill (1978).
25. P.H. Geubelle and W.G. Knauss, Propagation of a crack in homogeneous and bimaterial sheets under general in-plane loading: nonlinear analysis. Galcit SM Report 93-1, Caltech, 1993. Submitted to J. Appl. Mech.
26. O.C. Zienkiewicz, The Finite Element Method. 3rd edn. McGraw-Hill (1977).