Log in

A study on robust design optimization of layered plate bonding process considering uncertainties

  • Research Paper
  • Published:
Structural and Multidisciplinary Optimization Aims and scope Submit manuscript

Abstract

Design optimization of layered plate bonding process is conducted by considering uncertainties in a manufacturing process, to reduce the crack failure arising due to the difference of thermal expansion coefficients of the adherents. Robust optimization is performed to minimize the mean and variance of the residual stress, which is the major cause of the failure, while constraining the distortion and the instantaneous maximum stress to the allowable limits. In this optimization, the dimension reduction (DR) method is employed to quantify the uncertainty of the responses in the bonding process. It is expected that the DR method benefits the optimization from the perspectives of efficiency, accuracy, and simplicity. Response surface method (RSM) combined with sequential approximate optimization (SAO) technique is employed as an optimization tool. The obtained robust optimal solution is verified by the Monte Carlo simulation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (Germany)

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Basaran C, Zhao Y (2001) Mesh sensitivity and FEA for multi-layered electronic packaging. Trans ASME, J Electron Packag 123(3):218–224

    Article  Google Scholar 

  • Chen D, Cheng S, Gerhardt TD (1982) Thermal stresses in laminated beams. J Thermal Stresses 5:67–84

    Article  Google Scholar 

  • Chen W, Allen JK, Tsui KL, Mistree F (1996) Procedure for robust design: minimizing variations caused by noise factors and control factors. ASME J Mech Des 118(4):478–485

    Article  Google Scholar 

  • Glaser JC (1989) Thermal stresses in compliantly-joined materials. ASME Winter Annual Meeting. 89-WA/EEP-14. San Francisco, CA

  • Haldar A, Mahadevan S (1999) Probability, reliability, and statistical methods in engineering design. Wiley

  • Hasofer AM, Lind NC (1974) Exact and invariant second-moment code format. ASCE, J Eng Mech 100:111–121

    Google Scholar 

  • Jiang ZQ, Huang Y, Chandra A (1997) Thermal stresses in layered electronic assemblies. J Electron Pack 119:127–133

    Article  Google Scholar 

  • Jung DH, Lee BC (2002) Development of a Simple and Efficient Method for Robust Optimization. International Journal for Numerical Methods in Engineering 53:2201–2215

    Article  MATH  MathSciNet  Google Scholar 

  • Kleiber M, Hien TD (1992) The Stochastic Finite Element Method. Wiley, New York

    MATH  Google Scholar 

  • Lee WH, Kim HJ, Joo JW, Choi JH (2006a) Material parameters identification in the layered plates bonding process simulation using Moiré Interferometric measurement and optimization technique. The Fourth China–Japan–Korea Joint Symposium on Optimization of Structural and Mechanical Systems, Kunming, China, November

  • Lee I, Choi KK, Du L (2006b) Alternative Methods for Reliability-Based Robust Design Optimization Including Dimension Reduction Method. ASME DETC, Philadelphia, Pennsylvania, September 10–13

  • Lee SH, Kwak BM (2006) Response surface augmented moment method for efficient reliability analysis. Struct Saf 28:261–272

    Article  Google Scholar 

  • Lee TW, Kwak BM (1987-88) A reliability-based optimal design using advanced first order second moment method. Mech Struct Mach 15(4):523–542

    Article  Google Scholar 

  • Lee YB, Lee HJ, Kim MS, Choi DH (2005) Sequential approximate optimization based on a pure quadratic response surface method with noise filtering. Transactions of the KSME (A) 29(6):842–851

    Google Scholar 

  • Lin CY, Huang WH, Jeng MC, Doong JL (1997) Study of an assembly tolerance allocation model based on Monte Carlo simulation. J Mater Process Technol 70:9–16

    Article  Google Scholar 

  • Park GJ, Lee TH, Lee KH, Hwang KH (2004) A review of robust design methodologies. Transactions of KSME(A) 28(9):1368–1383

    Google Scholar 

  • Phadke MS (1989) Quality engineering using robust design. Prentice Hall, Englewood Cliffs, New Jersey

    Google Scholar 

  • Rahman S, Xu H (2004) A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics. Probab Eng Mech 19:393–408

    Article  Google Scholar 

  • Shih CF, Asaro RJ (1988) Elasto-plastic analysis of cracks on bi-material interfaces: Part I—small scale yielding. ASME, J Appl Mech 55:299–316

    Article  Google Scholar 

  • Shih CF, Asaro RJ (1989) Elasto-plastic analysis of cracks on bi-material interfaces: Part II—structure of a small-scale yielding fields. ASME, J Appl Mech 56:763–779

    Article  Google Scholar 

  • Plotner M, Donat B, Benke A (1991) Deformation properties of indium-based solders at 294 and 77 K. Cryogenics 31(3):159–162

    Article  Google Scholar 

  • Suhir E (1989) Interfacial stresses in bimetal thermostats. ASME J Appl Mech 56:595–600

    Article  MATH  Google Scholar 

  • Suhir E, Weld JD (1998) Application of a “surrogate” layer for lower bending stress in a vulnerable material of a tri-material body. Microelectronics Reliability 38:1949–1954

    Article  Google Scholar 

  • Suhir E (2001) Predicted thermal stresses in a bimaterial assembly adhesively bonded at the ends. J Appl Physi 89(1):120–129

    Article  Google Scholar 

  • Tu J, Choi KK (1999) A new study on reliability based design optimization. J Mech Des, ASME 121(4):557–564

    Article  Google Scholar 

  • Varghese P, Braswell RN, Wang B, Zhang C (1996) Statistical tolerance analysis using FRPDF and numerical convolution. CAD 28(9):723–732

    Google Scholar 

  • Vining G, Myers R (1990) Combining Taguchi and response surface philosophies—a dual response approach. J Qual Technol 22:38–45

    Google Scholar 

  • Youn BD, Choi KK, Du L (2004) Adaptive probability analysis using an enhanced hybrid mean value (HMV+) method. Journal of Structural and Multidisciplinary Optimization. 28(4):319–333

    Google Scholar 

  • Youn BD, Choi KK, Du L (2005) Performance moment integration (PMI) method for quality assessment in reliability-based robust design optimization. Mechanics Based Design of Structures and Machines. 33:185–213

    Article  Google Scholar 

  • Zhao YG, Ono T (2001) Moment methods for structural reliability. Struct Saf. 23:47–75

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to J. H. Choi.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Choi, J.H., Lee, W.H., Park, J.J. et al. A study on robust design optimization of layered plate bonding process considering uncertainties. Struct Multidisc Optim 35, 531–540 (2008). https://doi.org/10.1007/s00158-007-0153-z

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00158-007-0153-z

Keywords

Navigation