Plastic stresses at the tip of a crack impinging perpendicularly the interface of two different elastic-plastic materials

• Autorzy: Espapragoza J. E.
• Języki publikacji: EN

Abstrakty

EN

The problem of stresses at the tip of a crack impinging the interface of two different elastic-perfectly plastic materials is considered. The mathematical model is based on the assumption that both solids are incompressible elastic-perfectly plastic materials obeying the Huber-Von Misses yielding criterion under conditions of plane strain. It is shown that the problem of local stresses near the crack tip has two possible solutions, one of which is continuous and the other discontinuous. For the inhomogeneous case it was found that the discontinuous solution is the only feasible. In the limiting case of a homogeneous elastic-perfectly plastic material, the continuous solution coincides with that of Prandtl (1920), and the discontinuous solution with that of Cherepanov (1997). Some reasons for preferring the discontinuous solutions are provided since it is evident that both solutions cannot exist simultaneously.

Słowa kluczowe

EN

crack tip; plasticity; elastic-perfectly plastic materials; Huber-Mises yielding condition

PL

materiałoznawstwo; plastyczność; naprężenia

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2005
• Tom: Vol. 10, no. 2
• Strony: 207--216
• Opis fizyczny: Bibliogr. 7 poz., wykr.

Twórcy

autor

Espapragoza J. E.

• School of Engineering Design, Technology and Professional Programs The Pennsylvania State University 25 Yearsley Mill Rd., Media, PA. 19063, U.S.A.

Bibliografia

• [1] Cherepanov G.P. (1979): Mechanics of Brittle Fracture. - New York: McGraw-Hill.
• [2] Cherepanov G.P. (1997): Methods of Fracture Mechanics. Solid Matter Physics. - Dordrecht: Kluwer Academic Publisher, p.313.
• [3] Esparragoza I.E. (2001): Plastic stresses at the interface crack tip between two different elastic-plastic bonded solids. - J. Adhesion Sci. Technology, vo1.l4, No.13, pp.1627-1638.
• [4] Hill R. (1950): The Mathematical Theory of Plasticity. - London: Oxford University Press, p.354.
• [5] Prager W. and Hodge P.G. (1968): Theory of Perfectly Plastic Solids. - New York: Dover Publications, p.264.
• [6] Prandtl L. (1924): Uber die Harte Plasticher Korper. - Nachr. Ges. Wiss. Gottingen, p.74.
• [7] Sokolovsky V.V. (1950): Theory ofj Plasticity. - Moscow: Gostekhizdat.