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Title
Japanese: 
English:Analyzing and modeling methods for warpages of thin and large dies with redistribution layer 
Author
Japanese: 土手 暁, 北田 秀樹, 水島 賢子, 中村 友二, 作山 誠樹.  
English: Dote Aki, Kitada Hideki, Mizushima Yoriko, Nakamura Tomoji, Sakuyama Seiki.  
Language English 
Journal/Book name
Japanese: 
English:Jpn. J. Appl. Phys. 
Volume, Number, Page Vol. 55    No. 6   
Published date May 31, 2016 
Publisher
Japanese: 
English:Institute of Physics 
Conference name
Japanese: 
English: 
Conference site
Japanese: 
English: 
DOI http://doi.org/10.7567/JJAP.55.06JC03
Abstract Analyzing and modeling methods for warpages including cylindrical deformations are discussed in large-area dies with redistribution layers (RDLs) and thin 50-µm-thick Si substrates. The buckling behavior of warpage, a deformation transition from spherical to cylindrical, strongly depends on the lateral sizes of the dies and the RDL structures, and can be calculated using the analytical model of the nonlinear plate theory. The equivalent stress values are introduced to simplify RDL structures by applying the model to measured curvatures of homogeneous patterned samples. Area densities of Cu are a good index for evaluating die warpage even for inhomogeneous patterned RDLs.

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