A FORWARD GRADIENT TIME INTEGRATION PROCEDURE FOR AN INTERNAL VARIABLE CONSTITUTIVE MODEL OF SN-PB SOLDER

被引:8
作者
BUSSO, EP [1 ]
KITANO, M [1 ]
KUMAZAWA, T [1 ]
机构
[1] HITACHI LTD,MECH ENGN RES LAB,TSUCHIURA,IBARAKI 300,JAPAN
关键词
D O I
10.1002/nme.1620370402
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A self-correcting forward gradient time integration procedure is formulated for the integration of a new unified visco-plastic constitutive model for an eutectic solder alloy using a tensorial internal state variable. The procedure has been implemented numerically into a commercial FE code through a user-material subroutine and is well suited to deal with numerically stiff constitutive equations. This is accomplished through an automatic subincrementation procedure controlled by a maximum allowed equivalent inelastic strain increment per time step. For illustration purposes, two examples are discussed: (i) uniaxial test simulations to reveal the optimum combination of the user-specified tolerance and the prescribed load step size to obtain a desired accuracy at a minimum cost, (ii) a large-scale three-dimensional analysis of an integrated circuit (IC) package's solder joint to show the capability of the proposed procedure to deal with thermomechanical loading.
引用
收藏
页码:539 / 558
页数:20
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