Conventional finite element analysis of textile composite structures is impractical because of the large, complex microstructure. Global/local methodology combined with special macro elements is proposed herein as a practical alternative. Initial tests showed dramatic reductions in the computational effort with only a relatively small loss in accuracy for stresses away from the global/local boundary.
Get full access to this article
View all access options for this article.
References
1.
1. Guedes, J. M. and N. Kikuchi. 1990. "Preprocessing and Postprocessing for Materials Based on the Homogenization Method with Adaptive Finite Element Methods,"Computer Methods in Applied Mechanics and Engineering 83. Elsevier Science Publishers, pp. 143-198.
2.
2. Hirai, I., T. Uchiyama, Y. Mizuta and W. Pilkey. 1985. An Exact Zooming Method, Finite Elements in Analysis and Design 1. Elsevier Science Publishers, pp. 61-69.
3.
3. Jara-Alamonte, C. and C. Knight. 1988. "The Specified Boundary Stiffness/Force SBSF Method for Finite Element Subregion Analysis,"International Journal for Numerical Methods in Engineering, 26:1567-1578.
4.
4. Whitcomb, J. D.1991. "Iterative Global/Local Finite Element Analysis,"Computers & Structures,40(4).
5.
5. Fish, J. and S. Markolefas. 1992. "The s-Version of the Finite Element Method for Multilayer Laminates,"International Journal for Numerical Methods in Engineering, 33:1081-1105.
6.
6. Whitcomb, J. D. and K. Woo. 1993. "Application of Iterative Global/Local Finite Element Analysis, Part I: Linear Analysis,"Communications of Numerical Methods in Engineering, 9:745-756.
7.
7. Whitcomb. J. D. and K. Woo. 1993. "Application of Iterative Global/Local Finite Element Analysis, Part II: Geometrically Non-Linear Analysis,"Communications of Numerical Methods in Engineering, 9:757-766.
8.
8. Woo, K. and J. D. Whitcomb. 1992"Macro Finite Element Using Subdomain Integration," published in Communications of Numerical Methods in Engineering.
9.
9. Whitcomb, J. D., K. Woo and S. Gundapaneni. 1992. "Macro Finite Element for Analysis of Textile Composites,"Proceedings of the 6th Japan-US Conference on Composite Materials, Orlando, FL, June 22-24, 1992.
10.
10. Whitcomb, J. D., and K. Woo. 1992. "Enhanced Direct Stiffness Method for Finite Element Analysis of Textile Composites", Proceedings of 1992 ASME Winter Annual Meeting, Anaheim, CA, November 8-13, 1992.
11.
11. Bjorstad, P. E. and O. B. Widlund. 1986. "Iterative Methods for the Solutions of Elliptic Problems on Regions Partitioned into Substructures,"SIAM Journal on Numerical Analysis, 23(6).
12.
12. Jones, R. M.1975. Mechanics of Composite Materials. Washington D.C.: Scripta Book Company.
