Multiscale modeling of residual stresses in isotropic conductive adhesives with nano-particles

被引:6
作者
Erinc, M. [1 ]
van Dijk, M. [2 ]
Kouznetsova, V. G. [2 ]
机构
[1] TNO Sci & Ind, Mat Integrated Prod, NL-5612 AP Eindhoven, Netherlands
[2] Eindhoven Univ Technol, Dept Mech Engn, NL-5600 MB Eindhoven, Netherlands
关键词
Multiscale modeling; Computational homogenization; Isotropic conductive adhesive; Cure shrinkage; Residual stresses; COMPUTATIONAL HOMOGENIZATION; HETEROGENEOUS MATERIALS; ELEMENT; SIMULATION; RELIABILITY; PREDICTION; BEHAVIOR; MATRIX; SCALE; SIZE;
D O I
10.1016/j.commatsci.2012.06.012
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Isotropic conductive adhesives (ICAs) are promising candidates for low temperature joining technologies in microelectronics, enabling ultra-fine pitch sizes. Especially in solar and automotive applications, long-term reliability is a prerequisite in new generation electronics. It is essential that reliability predictions take processing history into account in order to correctly address premature failures as well as to make sound long-term predictions. In this paper, residual stresses that develop in a nano-Ag ICA interconnect during the assembly of a flip-chip pin grid array are investigated. A multiscale modeling framework is adopted to link the nano-sized particles to the interconnect level. This is achieved by the numerical analysis of the mechanical response during the curing process through the computational homogenization approach, in which two boundary value problems, one at each scale are formulated and solved simultaneously, in a fully nested manner. The mechanical response of the interconnect is analyzed with respect to the particle volume fraction and distribution properties. It is shown that, although the overall residual stresses at the interconnect scale decrease with increasing the amount of conductive particles, at the particle scale local stress concentrations increase, indicating the possibility of damage and decohesion that might compromise mechanical integrity and interrupt the conductive path. Hence, the multiscale scheme proved crucial for the sound analysis of the nano-particle ICA interconnect problem, where consideration of only the interconnect level would lead to misleading conclusions. (C) 2012 Elsevier B. V. All rights reserved.
引用
收藏
页码:50 / 64
页数:15
相关论文
共 37 条
[1]   On a priori error analysis of fully discrete heterogeneous multiscale FEM [J].
Abdulle, A .
MULTISCALE MODELING & SIMULATION, 2005, 4 (02) :447-459
[2]   Adaptive finite element heterogeneous multiscale method for homogenization problems [J].
Abdulle, A. ;
Nonnenmacher, A. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2011, 200 (37-40) :2710-2726
[3]   Multiscale aggregating discontinuities: A method for circumventing loss of material stability [J].
Belytschko, Ted ;
Loehnert, Stefan ;
Song, Jeong-Hoon .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2008, 73 (06) :869-894
[4]   CALCULATED ELASTIC-CONSTANTS FOR STRESS PROBLEMS ASSOCIATED WITH SEMICONDUCTOR DEVICES [J].
BRANTLEY, WA .
JOURNAL OF APPLIED PHYSICS, 1973, 44 (01) :534-535
[5]   Modeling of ceramic particles filled polymer-matrix nanocomposites [J].
Cannillo, V ;
Bondioli, F ;
Lusvarghi, L ;
Montorsi, M ;
Avella, M ;
Errico, ME ;
Mahnconco, M .
COMPOSITES SCIENCE AND TECHNOLOGY, 2006, 66 (7-8) :1030-1037
[6]   Multi-scale continuous-discontinuous framework for computational-homogenization-localization [J].
Coenen, E. W. C. ;
Kouznetsova, V. G. ;
Geers, M. G. D. .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2012, 60 (08) :1486-1507
[7]   Computational homogenization for heterogeneous thin sheets [J].
Coenen, E. W. C. ;
Kouznetsova, V. G. ;
Geers, M. G. D. .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2010, 83 (8-9) :1180-1205
[8]   RANDOM-SEQUENTIAL-PACKING SIMULATIONS IN 3 DIMENSIONS FOR SPHERES [J].
COOPER, DW .
PHYSICAL REVIEW A, 1988, 38 (01) :522-524
[9]  
Engquist W. E. B., 2007, COMM COMP PHYS, V2, P367
[10]   FE2 multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials [J].
Feyel, F ;
Chaboche, JL .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2000, 183 (3-4) :309-330