Evaluation of the Elastic T-stress in Three-dimensional Crack Problems Using an Integral Formula
Source abstract
Abstract
An integral formulation for computation of T-stresses along a three-dimensional crack front is presented. The mutual M-integral expressed through J-integrals (on analysed and auxiliary fields) provides sufficient information for determining T-stresses on the base of found relation between the M-integral and T-stresses. The auxiliary fields are selected to eliminate the singular terms in the asymptotic expansion of the stresses near the crack tip. Variation of the T-stress along the crack front of an edge-cracked plate is presented.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Fatigue and fracture mechanics · Numerical methods in engineering · Material Properties and Failure Mechanisms
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (9)
Show source-provided references
1. Betegon, C. and Hancock, J.W. (1991). Two parameter characterization of elastic-plastic crack tip fields. Journal of Applied Mechanics 58, 104-110.10.1115/1.2897135 ↗
2. Sumpter, J.D.G. (1993). An experimental investigation of the T-stress approach. In: Constraint effects in fracture, ASTM STP 1171,492-508.
3. Rice, J.R. (1974). Limitations to the small scale yielding approximation for crack tip plasticity. Journal of Mechanics and Physics Solids 22, 17-26.10.1016/0022-5096(74)90010-6 ↗
4. Sladek, J. and Sladek, V. (1997). Evaluation of T-stresses and stress intensity factors in stationary thennoelasticity by the conservation integral method. International Journal of Fracture 86, 199-219.10.1023/A:1007433703764 ↗
5. Sladek, J.; Sladek, V. and Fedelinski, P. (1997), Integral formulation for elastodynamic T-stresses. International Journal of Fracture 84, 103-116.10.1023/A:1007376029969 ↗
6. Nakamura, T. and Parks, D.M. (1992). Determination of elastic T-stresses along three-dimensional crack fronts using an interaction integral. International Journal of Solids and Structures 29, 1597-1611.10.1016/0020-7683(92)90011-H ↗
7. Sherry, A.H.; France, C.C. and Goldthorpe, M.R. (1995). Compendium of T-stress solutions for two and three dimensional cracked geometries. Fatigue and Fracture of Engineering Materials and Structures 18,141-155.10.1111/j.1460-2695.1995.tb00148.x ↗
8. Parks, D.M. (1991 ).Three-d imens ionataspects ofHRR-dominance. In: Defect Assessment in Components-Fundamentals and Applications ESIS/EGF9, Mech. Engn. Publ., London, 205-231.
9. Huber. O.; Nickel, J. and Kulin, G. (1993). On the decomposition of the J-integral for 3D crack problems. International Journal of Fracture 64, 339-348.10.1007/BF00017849 ↗