DEVELOPMENT OF ALGORITHM AND CALCULATION TOOL FOR VISCO-ELASTIC PACKAGE WARPAGEAuthors: Ichiro Hirata, Ph. D.
Company: System Jisso Research Laboratories, NEC Corporation
Date Published: 1/24/2008 Conference: Pan Pacific Symposium
From now, multi-layered beam theory has been published, and the theory can estimate a warpage of a multi-beam very easily, however, it can use in a elastic region only, meanwhile classical visco-elastic theory can calculate a deformation of one beam considered with its visco-elastic property. Then I developed the new algorithm which could couple elastic multi-layered beam theory and visco-elastic theory under the assumption that the relaxation modulii would be constant in each calculation time step. So, the coupled theories were programmed by macro language and installed into the spreadsheet. Also, the warpage of three layered benchmark model was calculated by the spreadsheet with the coupled program and FEM visco-elastic simulation. The calculated result of the spreadsheet was good agreement with that of FEM simulation. Then the designers have easily become to estimate the warpages using this spreadsheet (visco-elastic warpage calculation tool).
Key words: multi-layered beam theory, visco-elastic theory, FEM
Members download articles for free:
Not a member yet?
What else do you get when you join SMTA? Read about all of the benefits that go along with membership.
Notice: Sharing of articles is restricted to just your immediate work group. Downloaded papers should not be stored on an external network or shared on the internet.