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ANALYTICAL STUDY OF HEAT SOURCE-INDUCED CLOSURE OF PENNY-SHAPED CRACKS

Volume 6, Issue 6, 2014, pp. 493-506
DOI: 10.1615/ComputThermalScien.2014010430
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ABSTRACT

When considering the durability of structures with cracks it is necessary to take into account the possibility of crack surface contact. Indeed, under arbitrary loading of structures there is no guarantee that the cracks will be completely opened. Complete or partial closure can take place if the material is under compression. The crack surface contact leads to changes in the stress and deformations within the structure and influences the conditions of crack growth and the lifetime of structures. The problem of a penny-shaped crack closure induced by heat sources is considered. Analytical results are obtained by means of Hankel transforms and the corresponding dual integral equations. Closed-form solutions for heat flux across the crack surfaces and for the aperture of the crack are obtained. The solutions are illustrated graphically for cracks with different initial openings. The crack contact zones as functions of the distance between the heat sources and the crack are shown.

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