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Design Sensitivity Analysis of Coupled Thermo-elasticity Problems

Choi Jae-yeon    (Department of Structural Research, Samsung Heavy Industries   ); Cho Seonho    (Department of Naval Architecture and Ocean Engineering, Seoul National University  );
  • 초록

    In this paper, a continuum-based design sensitivity analysis (DSA) method is developed for the weakly coupled thermo-elasticity problems. The temperature and displacement fields are described in a common domain. Boundary value problems such as an equilibrium equation and a heat conduction equation in steady state are considered. The direct differentiation method of continuum-based DSA is employed to enhance the efficiency and accuracy of sensitivity computation. We derive design sensitivity expressions with respect to thermal conductivity in heat conduction problem and Young's modulus in equilibrium equation. The sensitivities are evaluated using the finite element method. The obtained analytical sensitivities are compared with the finite differencing to yield very accurate results. Extensive developments of this method are useful and applicable for the optimal design problems incorporating welding and thermal deformation problems.


  • 주제어

    weakly coupled thermo-elasticity .   thermal conductivity .   Young's modulus .   design sensitivity analysis .   direct differentiation method.  

  • 참고문헌 (8)

    1. Sluzalec, A. and M. Kleiber. 1996. Shape sensitivity analysis for nonlinear steady-state heat conduction problems: International J. Heat and Mass Transfer, 39, 2609-2613 
    2. Tortorelli, D.A., R.B. Haber and S.C-Y. Lu. 1989. Design sensitivity analysis for nonlinear thermal systems. Computer Methods in Applied Mechanics and Engineering, 77,61-77 
    3. Shames, I.H. and C.L. Dym. 1985. Energy and Finite Element Methods in Structural Mechanics. Mc-Graw Hill 
    4. Haug, E.J., K.K. Choi and V. Komkov. 1986. Design Sensitivity Analysis of Structural Systems. Academic Press, New York 
    5. Tortorelli, D.A. and R.B. Haber. 1989. First-order design sensitivity analysis for transient conduction problems by an adjoint method. International Journal for Numerical Methods in Engineering, 28, 733-752 
    6. Pepper, D.W. and J.C. Heinrich. 1992. The Finite Element Method: Basic Concept and Applications. Hemisphere Publishing Corporation 
    7. Yang, R.J. 1993. Shape design sensitivity analysis ofthermoelasticity problems. Computer Methods in Applied Mechanics and Engineering, 102,41-60 
    8. Bobaru, F. and S. Mukherjee. 2002. Meshless approach to shape optimization of linear thermo-elastic solids. International J. Numerical Methods in Engineering, 53, 765-796 

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