Nonlinear Deformation of Laminated Composites
Publication: Journal of Engineering Mechanics
Volume 117, Issue 2
Abstract
A method is presented for the nonlinear analysis of an element of a laminated composite using the Ramberg‐Osgood stress‐strain relation and considering transverse shear, degradation of elastic moduli due to fracture, and deformation theory of plasticity generalized for anisotropic inelastic material. An efficient solution is obtained employing the Newton‐Raphson method for proportional or nearly proportional loading in incremental steps. At the end of each step failure criteria are applied to each layer as well as to the laminate to study failure due to yielding, fracture, delamination, and degradation of laminate stiffness. The method gives a better comparison with experimental results than previous inelastic analysis. Because of its generality, the method can be used as an effective tool for the selection of allowable stresses in the design of laminated composites.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Budiansky, B. (1959). “A reassessment of deformation theories of plasticity.” J. Appl. Mech., 26(2), 259–264.
2.
Budiansky, B., and O'Connell, R. (1976). “Elastic moduli of a cracked solid.” Int. J. Solids Struct., 12(2), 81–97.
3.
Dong, S. B., Mathiesen, R. B., Pister, K. S., and Taylor, R. L. (1961). “Analysis of structural laminates,” ARL, 76(Sept.).
4.
Drucker, D. C. (1958). “Variational principles in the mathematical theory of plasticity.” Symp. in Appl. Mathematics, 8, 7–22.
5.
Foye, R. L., and Baker, D. J. (1971). “Design/analysis methods for advanced composite structures.” AFML‐TR‐70‐299, U.S. Air Force, Washington, D.C.
6.
Hashin, Z. (1972) Theory of fiber reinforced composite materials, CR‐1974, NASA, Hampton, Va.
7.
Hashin, Z., Bagchi, D. K., and Rosen, B. W. (1973). Nonlinear behaviour of fiber composite laminates, NAS1‐11284, NASA, Hampton, Va.
8.
Hashin, Z., and Rosen, B. W. (1964). “The elastic moduli of fiber‐reinforced materials.” J. Appl. Mech., 31(2), 223.
9.
Hill, R. (1964). “Theory of mechanical properties of fiber strengthened materials.” J. Mech. Physics Solids, 12(4), 199–212.
10.
Pan, J., and Shin, C. F. (1988). “Plane stress crack‐tip fields for power law hardening orthotropic materials.” Int. J. Fracture, 37(3), 171–195.
11.
Petit, P. H., and Waddoups, M. E. (1969). “A method of predicting the nonlinear behaviour of laminated composites.” J. Composite Materials, 3(2), 2–19.
12.
Ramberg, W., and Osgood, W. B. (1943). “Description of stress/strain curves by three parameters.” NASA TN 902, NASA, Hampton, Va.
13.
Spilker, R. L., and Jakobs, D. M. (1986). “Hybrid‐stress reduced midline elements for thin multilayer plates.” Int. J. for Numerical Methods in Engrg., 23(4), 555–578.
14.
Zweben, C. W., Bagchi, D. K., and Rosen, B. W. (1972). “Failure of unidirectional composites under combined loads.” N62269‐72‐C‐0411, Aerovehicle Technology Dept. of the Naval Air Development Center, Warminister, Pa.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 117 • Issue 2 • February 1991
Pages: 276 - 293
Copyright
Copyright © 1991 ASCE.
History
Published online: Feb 1, 1991
Published in print: Feb 1991
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.