The thermoelastic problem for a penny-shaped anticrack with heat conductivity in a transversely isotropic space

• Autorzy: Kaczyński A. , Monastyrskyy B.

Identyfikatory

DOI

10.15632/jtam-pl.54.2.593

• Języki publikacji: EN

Abstrakty

EN

An analytical solution of a 3D transversely isotropic thermoelastic problem of a uniform heat flow disturbed by a penny-shaped rigid sheet-like inclusion (anticrack) with some small conductivity is obtained by using the potential theory method. The behaviour of thermal stresses near the edge of the disc is analysed from the standpoint of the mechanics of fracture initiation.

Słowa kluczowe

EN

transversely isotropic space; circular anticrack; heat flow; singular integral equations; thermal stress singularities

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2016
• Tom: Vol. 54 nr 2
• Strony: 593--600
• Opis fizyczny: Bibliogr. 13 poz., rys.

Twórcy

autor

Kaczyński A.

• Warsaw University of Technology, Faculty of Mathematics and Information Science, Warsaw, Poland

autor

Monastyrskyy B.

• Protein Structure Prediction Center, University of California Davis, Davis, CA USA

Bibliografia

• 1. Chaudhuri R.A., 2003, Three-dimensional asymptotic stress field in the vicinity of the circumference of a penny-shaped discontinuity, International Journal of Solids and Structures, 40, 3787-3805
• 2. Ding H., Chen W., Zhang L., 2006, Elasticity of Transversely Isotropic Materials, Solid Mechanics and its Applications, 126, Springer, The Netherlands
• 3. Fabrikant V.I., 1989, Applications of Potential Theory in Mechanics: A Selection of New Results, Kluver Academic Publishers, Dordrecht
• 4. Fabrikant V.I., 1991, Mixed Boundary Value problems of Potential Theory and their Applications, Kluver Academic Publishers, Dordrecht
• 5. Kaczyński A., 2014, Thermal stress analysis of a three-dimensional anticrack in a transversely isotropic solid, International Journal of Solids and Structures, 51, 2382-2389
• 6. Kaczyński A., Kozłowski W., 2009, Thermal stresses in an elastic space with a perfectly rigid flat inclusion under perpenicular heat flow, International Journal of Solids and Structures, 46, 1772-1777
• 7. Kaczyński A., Monastyrskyy B., 2009, On the thermoelastic problem of uniform heat flow disturbed by a circular rigid lamellate inclusion, Archives of Mechanics, 61, 3/4, 309-324
• 8. Kaczyński A., Monastyrskyy B., 2013, A rigid inclusionin an elastic space under the action of a uniform heat flow in the inclusion plane, International Journal of Solids and Structures, 50, 2631-2640
• 9. Kellogg O.D., 1953, Foundation of Potential Theory, Dover, New York
• 10. Kit H.S, Khay M.V., 1989, Method of Potentials in Three-Dimensional Thermoelastic Problems of Bodies with Cracks (in Russian), Naukova Dumka, Kiev
• 11. Podil’chuk Yu.,N., 2001, Exact analytical solutions of three-dimensional static thermoelastic problems for a transversally isotropic body in curvilinear coordinate systems, International Applied Mechanics, 37, 6, 728-761
• 12. Stadnyk M.M., 1994, Method for the solution of the three-dimensional thermoelastcity for bodies with thin inclusions, Materials Science, 30, 6, 643-653
• 13. Stadnyk M.M., 2011, Elastic-ellipsoidal heat-conducting inclusion in a body under the action of a heat flux applied at infinity, Materials Science, 47, 3, 284-293

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniajacą naukę.