Shape design sensitivity analysis and optimization of elasto-plasticity with frictional contact

AIAA journal

Volumn 38, Issue 9, 2000, Pages 1742-1753

  Kim, Nam H ^a   Choi, Kyung K ^a   Chen, Jiun S ^a  

^a UNIVERSITY OF IOWA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIATION (CALCULUS); ELASTOPLASTICITY; FINITE DIFFERENCE METHOD; FRICTION; INTERFACES (MATERIALS); MATHEMATICAL MODELS; OPTIMIZATION; PROBLEM SOLVING; SENSITIVITY ANALYSIS;

VON MISES YIELD CRITERIA;

STRUCTURAL ANALYSIS;

EID: 0034274222     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.1163     Document Type: Article

References (27)

1. Haug, E. J., Choi, K. K., and Komkov, V., Design Sensitivity Analysis of Structural Systems, Academic, New York, 1986.
2. Duvaut, G., and Lions, J. L., Inequalities in Mechanics and Physics, Spring-Verlag, Berlin, 1976.
3. Vidal, C. A., and Haber, R. B., "Design Sensitivity Analysis for Rate-Independent Elastoplaslicity," Computer Methods in Applied Mechanics and Engineering, Vol. 107, No. 3, 1993, pp. 393-431.
4. Simo, J. C., and Taylor, R. L., "Consistent Tangent Operator for Rate-Independent Elastoplasticity," Computer Methods in Applied Mechanics and Engineering, Vol. 48, No. 1, 1985, pp. 101-118.
5. Lee, T. H., and Arora, J. S., "A Computational Method for Design Sensitivity Analysis of Elasloplastic Structures," Computer Methods in Applied Mechanics and Engineering, Vol. 122, No. 1, 1995, pp. 27-50.
6. Zhang, Q., Mukherjee, S., and Chandra, A., "Shape Design Sensitivity Analysis for Geometrically and Materially Nonlinear Problems by the Boundary Element Method," International Journal of Solids and Structures, Vol. 29, 1992, pp. 2503-2525.
7. Park, Y. H., and Choi, K. K., "Design Sensitivity Analysis of Truss Structures with Elastoplastic Material," Mechanics of Structures and Machines, Vol. 24, No. 2, 1996, pp. 189-216.
8. Kleiber, M., "Shape and Non-Shape Structural Sensitivity Analysis for Problems with any Material and Kinematic Non-Linearity," Computer Methods in Applied Mechanics and Engineering, Vol. 108, No. 1, 1993, pp. 73-97.
9. Michaleris, P., Tortorelli, D. A., and Vidal, C. A., "Tangent Operators and Design Sensitivity Formulations for Transient Non-Linear Coupled Problems with Applications to Elasloplasticity," International Journal for Numerical Methods in Engineering, Vol. 37, No. 14, 1994, pp. 2471-2499.
10. Ohsaki, M., and Arora, J. S., "Design Sensitivity Analysis of Elastoplastic Structures," International Journal for Numerical Methods in Engineering, Vol. 37, No. 5, 1994, pp. 737-762.
11. Kikuchi, N., and Oden, J. T., "Contact Problems in Elasticity: a Study of Variational Inequalities and Finite Element Method, Society for Industrial and Applied Mathematics, Philadelphia, 1988.
12. Hughes, T. J. R., Taylor, R. L., Sackman, J. L., Curnier, A., and Kanoknukulchai, W., "A Finite Element Method for a Class of Contact-Impact Problems," Computer Methods in Applied Mechanics and Engineering, Vol. 8, 1976, pp. 249-276.
13. Simo, J. C., Wriggers, P., and Taylor, R. L., "A Perturbed Lagrangian Formulation for the Finite Element Solution of Contact Problems," Computer Methods in Applied Mechanics and Engineering, Vol. 50, No. 2, 1985, pp. 163-180.
14. Simo, J. C., and Laursen, T. A., "An Augmented Lagrangian Treatment of Contact Problems Involving Friction," Computers and Structures, Vol. 42, No. 1, 1992, pp. 97-116.
15. Mignot, F., "Controle Dans Les Inequations Variationelles Elliptiques," Journal of Functional Analysis, Vol. 22, 1976, pp. 130-185.
16. Haraux, A., "How to Differentiate the Projection on a Convex Set in Hilbert Space. Some Applications to Variational Inequalities," Journal of Mathematical Society of Japan, Vol. 29, 1977, pp. 615-631.
17. Sokolowski, J., and Zolesio, J. P., Introduction to Shape Optimization, Springer-Verlag, Berlin, 1991.
18. Spivey, C. O., and Tortorelli, D. A., "Tangent Operators, Sensitivity Expressions, and Optimal Design of Nonlinear Elastica in Contact with Applications to Beams," International Journal for Numerical Methods in Engineering, Vol. 37, No. 1, 1994, pp. 49-73.
19. Pollock, G. D., and Noor, A. K., "Sensitivity Analysis of the Contact/Impact Response of Composite Structures," Computers and Structures, Vol. 61, No. 2, 1996, pp. 251-269.
20. Choi, K. K., Kim, N. H., and Park, Y. H., "Shape Design Sensitivity Analysis for Contact Problem with Friction," Proceedings of the 7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, AIAA, Reston, VA, 1998, pp. 1071-1081.
21. Liu, W. K., Jun, S., and Zhang, Y. F., "Reproducing Kernel Particle Methods," International Journal for Numerical Methods in Fluids, Vol. 20, 1995, pp. 1081-1106.
22. Simo, J. C., and Govindjee, S., "Nonlinear B-Stability and Symmetric Preserving Return Mapping Algorithms for Plasticity and Viscoplasticity," International Journal for Numerical Methods in Engineering, Vol. 31, No. 1, 1991, pp. 151-176.
23. Grindeanu, I., Chang, K. H., Choi, K. K., and Chen, J. S., "Design Sensitivity Analysis of Hyperelastic Structures Using a Meshless Method," AIAA Journal, Vol. 36, No. 4, 1998, pp. 618-627.
24. Chen, J. S., Pan, C., and Wu, C. T., "Large Deformation Analysis of Rubber Based on a Reproducing Kernel Particle Method," Computational Mechanics, Vol. 19, No. 3, 1997, pp. 211-217.
25. Choi, K. K., and Chang, K. H., "A Study on the Velocity Computation for Shape Design Optimization," Journal of Finite Elements in Analysis and Design, Vol. 15, 1994, pp. 317-347.
26. Vanderplaats, G. M., DOT User's Manual, VMA Corp., Colorado Springs, CO, 1997.
27. Dutta, A., "A Study of Implicit and Explicit Methods for Design Sensitivity Analysis of Nonlinear Dynamic Systems," Ph.D Dissertation, Dept. of Civil and Environment Engineering, Univ. of Iowa, Iowa City, IA, 1996.