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A study of hysteresis in theK ID -å relation

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Abstract

A photoelastic study of high speed crack propagation in Homalite 100 was conducted to measure hysteresis in the constitutive relation forK ID -å. The fracture specimen was designed to obtain both crack acceleration and deceleration during a single crack extension. Additional loads perpendicular to the cráck-propagation path were applied at secondary locations to accentuate the magnitude of acceleration-deceleration observed in this specimen. The photoelastic data were analyzed using dynamic stress field equations in conjunction with the least-squares over-deterministic method to obtain the crack-propagation fracture toughness,K ID . Crack velocity, å, was determined numerically by differentiating a polynomial fitted to the crack length-time data in a leastsquares sense. Experimental results indicate that Homalite 100 does not exhibit significant hysteresis in theK ID -å relation.

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Dally, J.W., Agarwal, R.K. & Sanford, R.J. A study of hysteresis in theK ID -å relation. Experimental Mechanics 30, 177–183 (1990). https://doi.org/10.1007/BF02410245

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