Transmission conditions for a soft elasto-plastic interphase between two elastic materials. Plane strain state

• Autorzy: Mishuris G. , Ochsner A.
• Języki publikacji: EN

Abstrakty

EN

A thin interphase between two different elastic media is under consideration. It is assumed that the intermediate layer consists of a soft elasto-plastic material whose Young's modulus is small enough in comparison with those of the bounding materials, Using an asymptotic technique, nonlinear transmission conditions for the bimaterial structure are evaluated. As a numerical example, a FEM analysis of a bimaterial structure with an interface is performed to investigate the accuracy of the derived transmission conditions.

Słowa kluczowe

EN

elastic-plastic layer; imperfect interface; nonclassical transmission conditions

PL

sieć niedoskonała; nieklasyczny warunek przejścia

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2005
• Tom: Vol. 57, nr 2-3
• Strony: 157--169
• Opis fizyczny: Bibliogr. 19 poz., wykr.

Twórcy

autor

Mishuris G.

• Department of Mathematics, Rzeszów University of Technology, Rzeszów, Poland

autor

Ochsner A.

• Centre for Mechanical Technology and Automation, Department of Mechanical Engineering, University of Aveiro, Aveiro, Portugal

Bibliografia

• 1. Y.A. Antipov, O. Avila-Pozos, S.T. Kolaczkowski, A.B. Movchan, Mathematical model of delamination cracks on imperfect interfaces, Int. J. Solids and Structures, 38, 6665–6697, 2001.
• 2. O. Avila-Pozos, A. Klarbring, A.B. Movchan, Asymptotic model of ortotropic highly inhomogeneous layered structure, Mech. Mater., 31, 101–115, 1999.
• 3. Y. Benveniste, The effective mechanical behaviour of composite materials with imperfect contact between the constituents, Mech. Mater., 4, 197–208, 1985.
• 4. Y. Benveniste, T. Miloh, Imperfect soft and stiff interfaces in two-dimentional elasticity, Mech. Mater., 33, 309–323, 2001.
• 5. W.F. Chen, Constitutive equations for engineering materials, Elsevier, Amsterdam-London-New York-Tokyo 1994.
• 6. F. Erdogan, Fracture mechanics of interfaces, Proceedings of the First International Conference on Damage and Failure of Interfaces DFI-I/Vienna/22-24 September 1997, Rotterdam-Brookfield: A.A. Balkoma 3–36, 1997.
• 7. Z. Hashin, Thermoelastic properties of fiber composites with imperfect interface, Mech. Mater., 8, 3333–348, 1990.
• 8. Z. Hashin, Thin interphase/imperfect interface in elasticity with application to coated fiber composites, J. Mech. Phys. Solids, 50, 2509–2537, 2002.
• 9. R. Hill, The Mathematical Theory of Plasticity, Clarendon Press, Oxford, 1998.
• 10. T. Ikeda, A. Yamashita, D. Lee, N. Miyazaki, Failure of a ductile adhesive layer constrained by hard adherends, Trans. ASME. J. Engng Mater. Technol., 122, 80–85, 2000.
• 11. J.P. Jeandrau, Analysis and design data for adhesively bonded joints, Int. J. Adhesion and Adhesives, 11, 2, 71–79, 1991.
• 12. L.M. Kachanov, Fundamentals of the Theory of Plasticity, MIR Publishers, Moscow 1974.
• 13. A. Klarbring, A.B. Movchan, Asymptotic modelling of adhesive joints, Mech. Mater., 28, 137–145, 1998.
• 14. G. Mishuris, Interface crack and nonideal interface approach. Mode III, Int. J. Fract., 107, 3, 279–296, 2001.
• 15. G. Mishuris, G. Kuhn, Asymptotic behaviour of the elastic solution near the tip of a crack situated at a nonideal interface, ZAMM, 81, 12, 811–826, 2001.
• 16. G. Mishuris, A. Öchsner, G. Kuhn, Imperfect interfaces in dissimilar elastic body: FEM-analysis, Advanced Computational Engineering Mechanics, Z. Ren, G. Kuhn, L. Skerget, M. Hribersek [Eds.], Proc. of the First Workshop, Maribor Slovenia, October 9–11, 2003, University of Maribor Publishers, 2003.
• 17. G. Mishuris, A. Öchsner, Edge effects connected with thin interphases in composite materials, Composite Structures, 68, 409–417, 2004.
• 18. G. Mishuris, Imperfect transmission conditions for a thin weakly compressible interface. 2D Problems, Arch. Mech., 56, 2, 103–115, 2004.
• 19. A.B. Movchan, N.V. Movchan, Mathematical modelling of solids of with nonregular boundaries, CRC Press, Boca Raton, 1995.