Thermomechanically coupled sensitivity analysis and design optimization of functionally graded materials

Computer Methods in Applied Mechanics and Engineering

Volumn 194, Issue 18-20, 2005, Pages 1891-1911

  Chen, Biaosong ^a   Tong, Liyong ^a  

^a UNIVERSITY OF SYDNEY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; HEAT TRANSFER; LINEAR PROGRAMMING; MATHEMATICAL MODELS; OPTIMIZATION; SENSITIVITY ANALYSIS; STRUCTURAL ANALYSIS; THERMOMECHANICAL TREATMENT;

MATERIAL PROPERTIES; SEQUENTIAL LINEAR PROGRAMMING (SLP);

FUNCTIONALLY GRADED MATERIALS;

FINITE ELEMENT METHOD; FUNCTIONALLY-GRADED MATERIAL; HEAT TRANSFER;

EID: 14944361044     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2004.07.005     Document Type: Article

References (39)

1. M. Autio Coupled thermal-structural problems in the optimization of laminated plates Struct. Optimization 15 1998 49-56
2. H. Boer F. Keulen Error analysis of refined semi-analytical design sensitivities Struct. Optimization 14 1997 242-247
3. B.S. Chen, H.B. Zhao, Y.X. Gu, Sensitivity analysis and design optimization of the coupling thermo-structures, in: Proceedings of the Fourth World Congress on Structural and Multidisciplinary Optimization, 2001, pp. 406-413
4. G.D. Cheng Y.X. Gu Y.Y. Zhou Accuracy of semi-analytic sensitivity analysis Finite Elements Anal. Des. 6 1989 113-128
5. J.R. Cho J.T. Oden Functionally graded material: A parametric sturdy on thermal-stress characteristics using the Crank-Nicolson-Galerkin scheme Comput. Methods Appl. Mech. Engrg. 188 2000 17-38
6. 3 functionally graded materials Mater. Sci. Engrg. A 334 2002 147-155
7. J.R. Cho D.Y. Ha Optimal tailoring of 2D volume fraction distributions for heat resisting functionally graded material using FDM Comput. Methods Appl. Mech. Engrg. 191 2002 3195-3211
8. K. Dems Z. Mroz Variational approach to sensitivity analysis in thermoelasticity J. Therm. Stress. 10 1987 283-306
9. Y.X. Gu G.D. Cheng Structural modeling and sensitivity analysis of shape optimization Struct. Optimization 6 1 1993 29-37
10. Y.X. Gu H.W. Zhang Z.Q. Guan Z. Kang Y.P. Li W.X. Zhong New generation software of structural analysis and design optimization-JIFEX Struct. Engrg. Mech. 7 6 1999 589-599
11. Y.X. Gu B.S. Chen H.W. Zhang R.V. Grandhi A sensitivity analysis method for linear and nonlinear transient heat conduction with precise time integration Struct. Multidisciplinary Optimization 24 1 2002 23-37
12. G.J.W. Hou J.S. Sheen et al. Shape-sensitivity analysis and design optimization of linear thermoelastic solids AIAA J. 30 2 1993 528-537
13. J.H. Huang G.M. Fadel V.Y. Blouin M. Grujicic Bi-objective optimization design of functionally gradient materials Mater. Des. 23 2002 657-666
14. J.H. Kim G.H. Paulino Isoparometric graded finite elements for nonhomogeneous isotropic and orthotropic materials J. Appl. Mech. 69 2002 502-514
15. M. Koizumi FGM activities in Japan Composites, Part B 128B 1997 1-4
16. S. Kok N. Stander W. Roux Thermal optimization in transient thermoelasticity using response surface approximations Int. J. Numer. Methods Engrg. 43 1 1998 1-21
17. B.Y. Lee B.M. Kwak Shape optimization of two-dimensional thermoelastic structures using boundary integral equation formulation Comput. Struct. 41 4 1991 709-722
18. B.Y. Lee B.M. Kwak Axisymmetric thermoelastic shape sensitivity analysis and its application to turbine disc design Int. J. Numer. Methods Engrg. 33 10 1992 2073-2089
19. Q. Li G.P. Steven Y.M. Xie Displacement minimization of thermoelastic structures by evolutionary thickness design Comput. Methods Appl. Mech. Engrg. 179 1999 361-378
20. T. Liu, Design optimization and sensitivity analysis of thermal structure, Master thesis, Department of Engineering Mechanics, Dalian University of Technology, China, 2003
21. A.J. Markworth K.S. Ramesh W.P. Parks Jr. Review modeling studies applied to functionally graded materials J. Mater. Sci. 30 1995 2183-2193
22. A.J. Markworth J. Saunders A model of structure optimization for a functionally graded material Mater. Lett. 22 1995 103-107
23. R.A. Meric Material and load optimization of thermoelastic solids Part I: Sensitivity anslysis J. Therm. Stress. 9 1986 359-372
24. R.A. Meric Material and load optimization of thermoelastic solids Part II: Numerical results J. Therm. Stress. 9 1986 373-389
25. R.A. Meric Shape optimization of thermoelastic solids J. Therm. Stress. 11 1986 187-206
26. P. Michaleris D.A. Tortorelli C.A. Vidal Analysis and optimization of weakly coupled thermoelastoplastic systems with applications to weldment design Int. J. Numer. Methods Engrg. 38 1995 1259-1285
27. N. Noda Thermal stresses in functionally graded materials J. Therm. Stress. 22 1999 477-512
28. Y. Ootao R. Kawamra Y. Tanigawa R. Imamura Optimization of material composition of nonhomogeneous hollow sphere for thermal stress relaxation making use of neural network Comput. Methods Appl. Mech. Engrg. 180 1999 185-201
29. Y. Ootao Y. Tanigawa T. Nakamura Optimization of material composition of FGM hollow circular cylinder under thermal loading: A neural network approach Composites, Part B 30 1999 415-422
30. Y. Ootao Y. Tanigawa O. Ishimaru Optimization of material composition of functionally graded plate for thermal stress relaxation using a genetic algorithm J. Therm. Stress. 23 2000 257-271
31. S. Suresh A. Mortensen Fundamental of functionally graded material: processing and thermomechnical behaviour of graded metal and metal-ceramic composites 1998 IOM Communication London
32. K. Tanaka Y. Tanaka K. Enomoto V.F. Poterasu Y. Sugano Design of thermoelastic materials using direct sensitivity and optimization methods reduction of thermal stresses in functionally gradient materials Comput. Methods Appl. Mech. Engrg. 106 1993 271-284
33. K. Tanaka Y. Tanaka H. Watanabe V.F. Poterasu Y. Sugano An improved solution to thermoelastic design in functionally gradient materials: scheme to reduce thermal stresses Comput. Methods Appl. Mech. Engrg. 109 1993 377-389
34. K. Tanaka H. Watanabe Y. Sugano V.F. Poterasu A multicriterial material tailoring of a hollow cylinder in functionally gradient materials: scheme to global reduction of thermoelastic stresses Comput. Methods Appl. Mech. Engrg. 135 1996 369-380
35. Y. Tanigawa Some basic thermoelastic problems for nonhomogeneous structural materials Appl. Mech. Rev. 48 6 1995 287-300
36. D.A. Tortorelli G. Subramani S. Lu R.B. Haber Sensitivity analysis for coupled thermoelastic systems Int. J. Solids Struct. 27 12 1991 1477-1497
37. S. Turteltaub Optimal control and optimization of functionally graded materials for thermomechanical processes Int. J. Solid Struct. 39 2002 3175-3197
38. S. Xu R.V. Grandhi Multipoint approximation development: Thermal structural optimization case study Int. J. Numer. Methods Eng. 48 8 2000 1151-1164
39. R.J. Yang Shape design sensitivity analysis of thermoelasticity problems Comput. Methods Appl. Mech. Engrg. 102 1993 41-60