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Stress field near a notch root under pure bending

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Abstract

A finite-element analysis is carried out by using conforming quadrilateral elements in order to obtain the stress field near a rounded-tip V-notch in a beam under pure bending. Different values of the notch deptha, the radius of curvaturer at the notch root, and the angle ω between the opposite faces of the stress concentrator are considered under the assumption that the behavior of the material is either linear elastic or elastoplastic. Our results are compared with approximate solutions proposed by other authors.

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References

  1. A. Carpinteri (editor),Handbook of Fatigue Crack Propagation in Metallic Structures, Elsevier, Amsterdam (1994).

    Google Scholar 

  2. H. Neuber,Kerbspannungslehre, Springer, Berlin (1937).

    Google Scholar 

  3. M. L. Williams, “Stress singularities resulting from various boundary conditions in angular corners of plates in extension,”J. Appl. Mech.,19, 526–528 (1952).

    Google Scholar 

  4. M. Creager and P. C. Paris, “Elastic field equations for blunt cracks with reference to stress-corrosion cracking,”Int. J. Fract. Mech.,3, 247–252 (1967).

    CAS  Google Scholar 

  5. G. Glinka, “Calculation of inelastic notch-tip strain-stress histories under cyclic loading,”Eng. Fract. Mech.,22, 839–854 (1985).

    Google Scholar 

  6. G. Glinka and A. Newport, “Universal features of elastic notch-tip stress-fields,”Int. J. Fatigue,9, 143–150 (1987).

    Google Scholar 

  7. D. Kujawski, “Estimations of stress intensity factors for small cracks at notches,”Fatigue Fract. Eng. Mater. Struct.,14, 953–965 (1991).

    Google Scholar 

  8. C. S. Shin, “Fatigue crack growth from stress concentrations and fatigue life prediction in notched components,” in: A. Carpinteri (editor),Handbook of Fatigue Crack Propagation in Metallic Structures, Elsevier, Amsterdam (1994), pp. 613–652.

    Google Scholar 

  9. L. S. Niu, C. Chehimi, and G. Pluvinage, “Stress field near a large blunted-tip V-notch and application of the concept of the critical notch stress intensity factor (NSIF) to the fracture toughness of very brittle materials,”Eng. Fract. Mech.,49, 325–335 (1994).

    Google Scholar 

  10. A. Carpinteri and R. Brighenti, “Elastic-plastic analysis of notched beams under bending,” in:Proceedings of the Second Workshop on the Influence of Local Stress and Strain Concentrators on the Reliability and Safety of Structures (Metz. France), Metz (1996), pp. 7–18.

  11. A. S. Tetelman, T. R. Wilshaw, and C. A. Rau, Jr., “The critical tensile stress criterion for cleavage,”Int. J. Fract. Mech.,4, 147–156 (1968).

    Google Scholar 

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Dipartimento di Ingegneria Civile, Universita di Parma, Parma, Italy. Published in Fizyko-Khimichna Mekhanika Materialiv, Vol. 34. No. 5, pp. 43–48, September–October, 1998.

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Carpinteri, A., Brighenti, R. Stress field near a notch root under pure bending. Mater Sci 34, 640–646 (1998). https://doi.org/10.1007/BF02355782

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  • DOI: https://doi.org/10.1007/BF02355782

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