Abstract
In this article a rigorous formulation of, and an exact solution to the plane thermoelasticity problem of an orthotropic plate having two collinear cracks are presented. Explicit expressions for the temperature, thermal displacements, thermal stresses and thermal stress intensity factors are obtained assuming that uniform or linear heat flow has been applied on the crack surfaces. Numerical values of thermal stress intensity factors and thermal crack sliding displacements and other quantities are worked out and presented in graphic form. A number of conclusions of practical significance are derived from the above results, including the assertion that an extremely large magnitude of stress singularity may occur in the geometry of two closely neighbouring cracks under the action of linear heat flow.
Résumé
On présente une formulation rigoureuse et une solution exacte d'un problème de thermo-élasticité plane dans une tôle orthotrope comportant deux fissures colinéaires. On obtient les expressions explicites de la température, des dilatations thermiques, des contraintes thermiques et des facteurs d'intensité des contraintes thermiques en supposant appliquer un flux de chaleur uniforme ou linéaire sur les faces de la fissure. On élabore les valeurs numériques des facteurs d'intensité des contraintes thermiques, des déformations thermiques de la fissure par glissements, et d'autres grandeurs, et on les présente sous une forme graphique. On tire de ces résultats un certain nombre de conclusions pratiques, y compris la constatation que des singularités de contraintes d'extrêmmeent grande amplitude peuvent se rencontrer dans une géométrie de deux fissures très voisines sujettes à un flux de chaleur linéaire.
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Baoxing, C., Xiangzhou, Z. Thermoelasticity problem of an orthotropic plate with two collinear cracks. Int J Fract 38, 161–192 (1988). https://doi.org/10.1007/BF00034283
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DOI: https://doi.org/10.1007/BF00034283