Modeling thermal fatigue cracking in integrated circuits by level sets and the extended finite element method

International Journal of Engineering Science - Tập 41 - Trang 2381-2410 - 2003
M. Stolarska1, D.L. Chopp2
1School of Mathematics, University of Minnesota, 127 Vincent Hall, 206 Church Street SE, Minneapolis, MN 55455, USA
2Department of Engineering Sciences and Applied Mathematics, Northwestern University, 2145 Sheridan Rd., Evanston, IL 60208, USA

Tài liệu tham khảo

Liu, 2000, Developing rules to avert cracking and debonding in integrated circuits, Engineering Fracture Mechanics, 66, 387, 10.1016/S0013-7944(00)00024-2 L. Freund, K. Kim, Spiral cracking around a strained cylindrical inclusion in a brittle material and implications for vias in integrated circuits, in: MRS Symposium Proceedings, Vol. 226, Materials Research Society, 1991 Licata, 1995, Interconnect fabrication processes and the development of low-cost wiring for CMOS products, IBM Journal of Research and Development, 39, 419, 10.1147/rd.394.0419 Havemann, 2001, High-performance interconnects: an integration overview, Proceedings of the IEEE, 89, 586, 10.1109/5.929646 Xia, 2000, Crack patterns in thin films, Journal of the Mechanics and Physics of Solids, 48, 1107, 10.1016/S0022-5096(99)00081-2 Osher, 1988, Fronts propagating with curvature dependent speed: algorithms based on Hamilton–Jacobi formulations, Journal of Computational Physics, 79, 12, 10.1016/0021-9991(88)90002-2 Moës, 1999, A finite element method for crack growth without remeshing, International Journal for Numerical Methods in Engineering, 46, 131, 10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.0.CO;2-J Stolarska, 2001, Modelling crack growth by level sets in the extended finite element method, International Journal of Numerical Methods in Engineering, 51, 943, 10.1002/nme.201 Sukumar, 2003, Extended finite element method and fast marching method for three-dimensional fatigue crack propagation, Engineering Fracture Mechanics, 70, 29, 10.1016/S0013-7944(02)00032-2 Sethian, 1999, Fast marching methods, SIAM Review, 41, 199, 10.1137/S0036144598347059 Sukumar, 2001, Modeling holes and inclusions by level sets in the extended finite element method, Computer Methods in Applied Mechanics and Engineering, 190, 6183, 10.1016/S0045-7825(01)00215-8 Moës, 2002, Non-planar 3D crack growth by the extended finite element and level sets––Part I: mechanical model, International Journal for Numerical Methods in Engineering, 53, 2549, 10.1002/nme.429 Gravouil, 2002, Non-planar 3D crack growth by the extended finite element and the level sets––Part II: level set update, International Journal for Numerical Methods in Engineering, 53, 2569, 10.1002/nme.430 Chopp, 2003, Fatigue crack propagation of multiple coplanar cracks with the coupled extended finite element/fast marching method, International Journal of Engineering Science, 41, 845, 10.1016/S0020-7225(02)00322-1 Ji, 2002, A hybrid extended finite element/level set method for modeling phase transformations, International Journal for Numerical Methods in Engineering, 54, 1209, 10.1002/nme.468 Belytschko, 1999, Elastic crack growth in finite elements with minimal remeshing, International Journal for Numerical Methods in Engineering, 45, 601, 10.1002/(SICI)1097-0207(19990620)45:5<601::AID-NME598>3.0.CO;2-S Adalsteinsson, 1999, The fast construction of extension velocities in level set methods, Journal of Computational Physics, 148, 2, 10.1006/jcph.1998.6090 Chopp, 1993, Computing minimal-surfaces via level set curvature flow, Journal of Computational Physics, 106, 77, 10.1006/jcph.1993.1092 Moran, 1987, Crack tip and associated domain integrals from momentum and energy balance, Engineering Fracture Mechanics, 27, 615, 10.1016/0013-7944(87)90155-X Paris, 1960, A critical analysis of crack propagation laws, Journal of Basic Engineering, 85, 528, 10.1115/1.3656900 Chambers, 1991, Mixed mode fatigue crack growth at 550 °C under plane stress conditions in Jethete M152, Engineering Fracture Mechanics, 39, 603, 10.1016/0013-7944(91)90072-9 Chen, 1991, Fatigue crack growth in mixed mode loading, Journal of Engineering Materials and Technology, 113, 222, 10.1115/1.2903396 Riemers, 1991, Simulation of mixed mode fatigue crack growth, Computers and Structures, 40, 339, 10.1016/0045-7949(91)90359-T Tanaka, 1974, Fatigue crack propagation from crack inclined to the cycle tensile axis, Engineering Fracture Mechanics, 6, 493, 10.1016/0013-7944(74)90007-1 E. Renuart, A. Fitzgerald, T. Kenny, R. Dauskardt, Fatigue processes in silicon MEMS devices, in: Proceedings of the Spring MRS Meeting, San Francisco, 2001 Cardarelli, 2000 G. Gilmer, personal communication M. Stolarska, D.L. Chopp, N. Moës, T. Belytschko, Modelling crack growth by level sets, in: A. Neimitz, I. Rokach, D. Kocanda, K. Golos (Eds.), ECF 14: Fracture Mechanics Beyond 2000, Proceedings of the 14th European Conference on Fracture, 2002