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Mechanics modeling using a spring network

Published online by Cambridge University Press:  31 January 2011

W. A. Curtin  and
H. Scher
W. A. Curtin
Affiliation:
BP Research, 4440 Warrensville Center Road, Cleveland, Ohio 44128
H. Scher
Affiliation:
BP Research, 4440 Warrensville Center Road, Cleveland, Ohio 44128
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Abstract

A simple spring network model is utilized to investigate stress concentrations and toughness increases for a variety of traditional mechanics problems. The scaling of crack-tip stress with crack size and separation, the shielding due to a low modulus process zone, and the toughness increase from microcracking and transformation process zones are all in good agreement with available analytic or numerical mechanics results. Also, the, process zone growth and attendant R-curve behavior for microcracking and/or transformation toughening is simulated directly using the network model with only a few simple rules. The network model is thus expected to be useful for obtaining easy quantitative results for related problems which are not so easily solved by other means. In addition, the good agreement found here supports the use of the network model for studying problems involving distributed disorder, as discussed in the previous paper.

Type
Articles
Information
Journal of Materials Research , Volume 5 , Issue 3 , March 1990 , pp. 554 - 562
Copyright
Copyright © Materials Research Society 1990

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References

REFERENCES

1Curtin, W. A. and Scher, H., J. Mater Res. 5 (3), 535 (1990).CrossRefGoogle Scholar
2Sneddon, I. N. and Lowengrub, M., Crack Problems in the Classical Theory of Elasticity (Wiley and Sons, New York, 1969).Google Scholar
3Lawn, B. R. and Wilshaw, T. R., Fracture of Brittle Solids (Cambridge University Press, Cambridge, England, 1975).Google Scholar
4Evans, A. G. and Faber, K.T., J. Am. Ceram. Soc. 67, 255 (1984); R. M. McMeeking and A. G. Evans, J. Am. Ceram. Soc. 65, 242 (1982).CrossRefGoogle Scholar
5Hutchinson, J.W., Acta Metall. 35, 1605 (1987).CrossRefGoogle Scholar
6Budiansky, B., Hutchinson, J.W., and Lambropoulos, J. C., Int. J. Solids Structures 19, 337 (1983).CrossRefGoogle Scholar
7Bowling, G.D., Faber, K. T., and Hoagland, R. G., J. Am. Ceram. Soc. 70, 849 (1987)CrossRefGoogle Scholar