Abstract
Finite element analysis near the notch root of notched bars under tension was studied for a wide range of notch geometries. The analysis shows that the yielded zone size near the notch root is determined by both the maximum elastic stress and notch root radius. Therefore, we can express the severity near the notch root by both of the maximum elastic stress and notch root radius. In addition to the analysis, the concept of severity is subjected to further experimental scrutinization in the present paper. An experimental program is presented which examines the effect of notch root radius on the yielded zone size for the notched specimens under static tension. This is accomplished by obtaining experimental data on the notched plates and the circumferentially notched bars of polycarbonate. From the experimental results, we confirm the validity of the concept of severity for predicting the fracture strength of notched bars.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Williams, J.G., Fracture Mechanics of Polymers, Ellis Horwood, Chichester, 1984.
Takano, M. and Nielsen L.E., The notch sensitivity of polymeric materials. J. Appl. Polym. Sci., 1976, 20, pp. 2193–2207.
Prabhakaran, R., Nair, E.M.S., and P. K., Sinha, Notch sensitivity of polymers. J. Appl. Polym. Sci., 1978, 22, pp. 3011–3020.
Mills, N.J., The mechanism of brittle fracture in notched impact tests on polycarbonate. J. Mater. Sci., 1976, 11, pp. 363–375.
Narisawa, I., Ishikawa, M. and Ogawa, H., Notch brittleness of ductile glassy polymers under plane strain. J. Mater. Sci., 1980, 15, pp. 2059–2065.
Kitagawa, M., Plastic deformation and fracture of notched specimens due to bending in glassy polymers. J_;_ Mater. Sci., 1982, 17, pp. 2514–2524.
Nuismer, R.J. and Whitney, J.M., Uniaxial failure of composite laminates containing stress concentrations. In Fracture Mechanics of Composites, ASTM STP 593, ed. S.P. Sendekyi, American Society for Testing Materials, Philadelphia, 1975, pp. 117–142.
Nisitani, H. and Hyakutake, H., Condition for determining the static yield and fracture of a polycarbonate plate specimen with notches. En. Fract. Mech., 1985, 22, pp. 359–368.
Hyakutake, H. and Nisitani, H., Conditions for ductile and brittle fracture in notched polycarbonate bars. JSME Inter. J., 1987, 30, pp. 29–36.
Fraser, R.A.W., and Ward, I.M., The impact fracture behaviour of notched specimens of polycarbonate. J. Mater. Sci., 1977, 12, pp. 459–468.
Pitman, G.L., Ward, I.M. and Duckett, R.A., The effects of thermal pre-treatment and molecular weight on the impact behaviour of polycarbonate. J. Mater. Sci., 1978, 13, pp. 2092–2104.
Parvin, M. and Williams, J.G., Ductile-brittle fracture transitions in polycarbonate. Int. J. Fract., 1975, 11, pp. 963–972.
Brown, H.R., A model for brittle-ductile transitions in polymers. J. Mater. Sci., 1982, 17, pp. 469–476.
Hyakutake, H., Nisitani, H. and Hagio, T., Fracture criterion of notched plates of FRP. JSME Inter J., 1989, 32, pp. 300–306.
Hyakutake, H., Hagio, T., and Nisitani, H., Fracture of FRP plates containing notches or a circular hole under tension. The 1989 ASME Pressure Vessels and Piping Conference, Vol. 167, American Society of Mechanical Engineers, New York, 1989, pp. l41–146.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1990 Elsevier Science Publishers Ltd
About this chapter
Cite this chapter
Hyakutake, H., Hagio, T. (1990). The Severity Near the Notch Root of Notched Bars. In: Hyde, T.H., Ollerton, E. (eds) Applied Stress Analysis. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0779-9_24
Download citation
DOI: https://doi.org/10.1007/978-94-009-0779-9_24
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6837-6
Online ISBN: 978-94-009-0779-9
eBook Packages: Springer Book Archive