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Mechanical and Damage Fields Ahead of a Stationary Crack in a Creeping Solid

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Abstract

The evolution of mechanical and damage fields, and the time to failure of material points ahead of a stationary crack in a compact tension specimen are computed using finite element simulations for a linear elastic/power law creeping material. These are compared with predictions obtained from fields based on two fracture mechanics based load-parameters: the steady-state \(C^*\), and the time-corrected C(t). The finite element calculations predict opening stresses in the crack plane that are non-monotonic in the time interval \(0 \le t \le t_1\), where \(t_1\) denotes the time to transition from small-scale creep to extensive creep. This is in contradiction to the monotonic ‘self-similar’ decay of stress with time given by the C(t) field. Consequently, damage rates and times to failure of material points ahead of a crack are calculated using the finite element stress-field, and the C(t)-based stress-field diverge considerably. These observations suggest that the creep damage rates derived on the basis of self-similarly decaying opening stress fields may be severely inaccurate.

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  1. Department of Aerospace Engineering, Indian Institute of Technology Madras, Chennai, 600036, India

    A. Abubakker Sithickbasha & Sivasambu Mahesh

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  1. A. Abubakker Sithickbasha
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  2. Sivasambu Mahesh
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Correspondence to Sivasambu Mahesh.

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Sithickbasha, A.A., Mahesh, S. Mechanical and Damage Fields Ahead of a Stationary Crack in a Creeping Solid. Trans Indian Inst Met 70, 217–224 (2017). https://doi.org/10.1007/s12666-016-0877-9

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  • DOI: https://doi.org/10.1007/s12666-016-0877-9

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