Modelling of crystal plasticity effects on the crack initiation energies of a bi-crystal interface (Nb/Al2O3)

• Autorzy: Siddig A. , Schmauder S.
• Języki publikacji: EN

Abstrakty

EN

The present paper examines the crystal orientation effects on the energy at the crack-tip of niobium/alumina joints. The analyses have been done using crystal plasticity theory. The single crystal parameters are identified for each family of slips system in [1]. These identified parameters are being used to examine the orientation effects of the niobium single crystal on the energy at the crack-tip. Differences in the fracture energy are explained based on the plastic slip (strain) induced in different slip systems during deformation. A qualitative comparison of the crystal plasticity analysis with the experiments of [2,3] is also been presented.

Słowa kluczowe

EN

crystal plasticity; finite element method; metal-ceramic interface

PL

metoda elementów skończonych; plastyczność

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2007
• Tom: Vol. 14, No. 1
• Strony: 67--78
• Opis fizyczny: Bibliogr. 24 poz., rys., tab., wykr.

Twórcy

autor

Siddig A.

autor

Schmauder S.

• University of Stuttgart, Institut für Materialprüfung, Werkstoffkunde und Festigkeitslehre

Bibliografia

• [1] ABAQUS Version 6.4, Hibbitt, Karlsson, Sorensen.
• [2] J.L. Bassani, T.-Y. Wu. Latent hardening in single crystals. II: Analytical characterization and predictions.Philos. Trans. Roy. Soc. London A, 435: 21-41, 1991.
• [3] W. Brocks, I. Scheider. Numerical Aspects of the Path-Dependence of the J-Integral in Incremental Plasticity. Technical Note GKSS/WMS/01/08, internal report, 2001.
• [4] R.M. Cannon, D. Korn, G. Elssner, M. Riihle. Fracture properties of interfacially doped ND-AI2O3 bicrystals. II: Relation of interfacial bonding, chemistry and local plasticity. Acta Materialia, 50: 3903-3925, 2002.
• [5] C.P. Cherepanov. Crack propagation in continuous media. Appl. Math. Mech., 31: 476-488, 1967.
• [6] L.B. Freund. Dynamic Fracture Mechanics. Cambridge University Press, 1998.
• [7] R. Hill, J.R. Rice. Constitutive analysis of elastic-plastic crystals at arbitrary strain. J. Mech. Phys. Solids, 20: 401-413, 1972.
• [8] Y. Huang. A User Material Subroutine Incorporating Single Crystal Plasticity in the ABAQUS Finite Element Program. Mech. Report 178, Division of Applied Sciences, Harvard University, Cambridge, MA, 1991.
• [9] J.W. Hutchinson, Z. Suo. Mixed mode cracking in layered materials. Advances Appl. Mech., 29: 63-191, 1992.
• [10] C.G. Hwang, P.A. Wawrzynek, A.K. Tayebi, A.R. Ingraffea. On virtual crack extension method for calculation of the rates of energy release rate. Engrg. Fracture Mech., 59: 521, 1998.
• [11] C. Kohnle, O. Mintchev, D. Brunner, S. Schmauder. Fracture of metal-ceramic interfaces. Comput. Mater. Sci.,19: 261, 2000.
• [12] C. Kohnle, O. Mintchev, D. Brunner, S. Schmauder. Fracture of metal-ceramic interfaces. In: Proc. Material Week, 2000.
• [13] available from www.goodfellow.com.
• [14] C. Kohnle, O. Mintchev, D. Brunner, S. Schmauder. Elastic and plastic fracture energies of metal-ceramic joints. Comput. Mater. Sci., 25: 272, 2002. [15] D. Korn, G. Elssner, R.M. Cannon, M. Riihle. Fracture properties of interfacially doped Nb-A^Osbicrystals. I: Fracture characteristics. Acta Materialia, 50: 3881-3901, 2002.
• [16] R. Krueger. The virtual crack closure technique: History, approach and applications. ICASE Report no. 2002-10.
• [17] L.H. Larsson. A calculational round robin in elastic-plastic fracture mechanics. Int. J. Press. Vess. Piping, 11: 207, 1983.
• [18] O. Mintchev, J. Rohde, S. Schmauder. Mesomechanical simulation of crack propagation through graded ductile zones in hardmetals. Comput. Mater. Sci., 13: 81, 1998.
• [19] W. Ramberg, W.R. Osgood. Description of Stress-Strain Curves by Three Parameters. NASA Technical Note No 902, 1945. [20] J.R. Rice. A path independent integral and the approximate analysis of strain concentrations by notches and cracks. J. Appl. Mech., 35: 379-386, 1968.
• [21] A. Siddiq, S. Schmauder. Simulation of deformation behaviour of niobium single crystals using crystal plasticity. Steel Grips: J. Steel Rel. Materials, 3: 281-286, 2005.
• [22] J.S. Wang, Z. Suo. Experimental determination of interfacial toughness using Brazil-nut-sandwich. Acta Met- allurgica, 38: 1279-1290, 1990.
• [23] W.K. Wilson, J.R. Osias. A comparison of finite element solutions for an elastic-plastic crack problem. Int. J. Fracture, 14: R95, 1978.
• [24] T.-Y. Wu, J.L. Bassani. Latent hardening in single crystals. I: Theory and experiments. Math. Phys. Sci., 435: 21-41, 1993.