Damage Field Ahead of a Tensile Crack in an Elastic-Plastic and Viscoplastic Material |
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Authors: | Khaled M Mahmoud Mumtaz K Kassir |
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Affiliation: | (1) Department of Civil Engineering, The City College of The City University of New York, Convent Ave. at 138th. Street, New York, N.Y, 10031, U.S.A. |
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Abstract: | This paper investigates the interaction between a macroscopic crack and microscopic damage in an elastic-plastic and viscoplastic
material subjected to tensile in-plane loading. The aim is to predict the fracture conditions by accounting for void accumulation
in the vicinity of the crack-tip. A power law relates the stress to the strain of the material. The damage, which invokes
the growth and coalescence of microvoids, is confined to a small circular zone surrounding the crack-tip. At the onset of
crack extension, the applied stress for small-scale and large-scale yielding solutions is found to be proportional to a0
-1/(n+1), where 2a0is the initial crack length and n is the strain hardening exponent of the material. For small-scale yielding, the conditions
required for fatigue crack growth and steady-state creep are determined. In particular, the variations of the normalized crack
length with the number of loading cycles and the time required for failure are shown for various strain hardening exponents,
applied loading, and material damage parameters.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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Keywords: | damage mechanics elastic-plastic and visco plastic materials HRR asymptotic solution onset of crack extension fatigue crack growth steady-state creep |
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