Plastic stress singularity near the tip of a V-notch
Source abstract
Abstract
In this study, a new practical method is proposed to analyze the plastic stress singularity at a V-shaped notch tip. By dividing the domain around the notch tip into a number of wedge-shaped elements, the problem is reduced to determining the stress singularity in a wedge composed of multiple materials with different stiffness matrix. The results so obtained appear to be quite satisfactory. Based on the numerical results, the effects of the notch geometry and the hardening exponent on the singularity are discussed. In particular, an approximate expression is presented for the evaluation of the plastic stress singularity.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Fatigue and fracture mechanics · Mechanical stress and fatigue analysis · Numerical methods in engineering
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References (8)
Show source-provided references
1. Duva, J.M. (1988). The singularity at the apex of a rigid wedge embedded in a nonlinear material. Journal of Applied Mechanics 55, 361–364.10.1115/1.3173683 ↗
2. Duva, J.M. (1989). The singularity at the apex of a rigid wedge after partial separation. Journal of Applied Mechanics 56, 977–979.10.1115/1.3176201 ↗
3. Hutchinson, J.W. (1968). Singular behavior at the end of a tensile crack in a hardening material. Journal of Mechanics and Physics of Solids 16, 13–31.10.1016/0022-5096(68)90014-8 ↗
4. Kuang, Z.B and Xu, X.P. (1987). Stress and strain field at the tip of a sharp V-notch in a power-hardening material. International Journal of Fracture 35, 39–53.10.1007/BF00034533 ↗
5. Neuber, H. (1961). Theory of stress concentration for shear-strained prismatical bodies with arbitrary nonlinear stress-strain law. Journal of Applied Mechanics 28, 544–550.10.1115/1.3641780 ↗
6. Rice, J.R. and Rosengren, G.F. (1968). Plane strain deformation near the tip in a power-law hardening material. Journal of Mechanics and Physics of Solids 16, 1–12.10.1016/0022-5096(68)90013-6 ↗
7. Xia, L. and Wang, T. (1993). Singular behavior near the tip of a sharp V-notch in a power-law hardening material. International Journal of Fracture 59, 83–93.10.1007/BF00032219 ↗
8. Yuan, H. and Lin, G. (1994). Analysis of elastoplastic sharp notches. International Journal of Fracture 67, 187–216.10.1007/BF00016260 ↗