Interaction Term of Tsai-Wu Theory for Laminated Veneer
Publication: Journal of Materials in Civil Engineering
Volume 10, Issue 2
Abstract
A stochastic-based method of evaluating the interaction parameter (F12) of the Tsai-Wu strength theory has been presented in this paper. Treating all strength parameters of the strength theory as random variables, the mean and standard deviation of F12, under plane stress conditions, have been estimated for Douglas-fir laminated veneer. This estimation has been managed through a nonlinear least-squares fit of the parameters to a cumulative probability distribution of off-axis tensile data. For the purpose of comparison, a sample evaluation of F12 using deterministic methods has been presented. This evaluation showed strong dependence of F12 on angle to grain. A subsequent sensitivity analysis of the off-axis tests on the value of F12 indicated that data from 15° off-axis tensile tests were more stable in establishing F12 than that of other angles tested: 30°, 45°, and 60°.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Clouston, P. (1995). “The Tsai-Wu strength theory for Douglas-fir laminated veneer,” MASc thesis, Dept. of Wood Sci., Univ. of British Columbia, Vancouver, B.C. Canada.
2.
Cowin, S. C.(1979). “On the strength anisotropy of bone and wood.”J. Appl. Mech., 46(4), 832–837.
3.
Foschi, R. O.(1990). “Reliability-based design in timber engineering: A Canadian perspective.”Proc., Int. Timber Engrg. Conf., H. Sugiyama, ed., Sci. Univ. of Tokyo, 1, 1–5.
4.
Foschi, R. O., and Yao, Z. C. (1986). “Another look at three duration of load models.”Proc., IUFRO Wood Engrg. Group Meeting, 2, 19-1-1.
5.
Hashin, Z.(1980). “Failure criteria for unidirectional fiber composites.”J. Appl. Mech., 47, 329–334.
6.
Liu, J. Y.(1984). “Evaluation of the tensor polynomial strength theory for wood.”J. Compos. Mat., 18(5), 216–225.
7.
Nahas, M. N.(1986). “Survey of failure and post-failure theories of laminated fibre-reinforced composites.”J. Compos. Technol. and Res., 8(4), 138–153.
8.
Narayanaswami, R., and Adelman, H. M.(1977). “Evaluation of the tensor polynomial and Hoffman strength theories for composite materials.”J. Compos. Mat., 11, 366–377.
9.
Pagano, N. J., and Halpin, J. C.(1968). “Influence of end constraint in the testing of anisotropic bodies.”J. Compos. Mat., 2(1), 18–31.
10.
Pipes, R. B., and Cole, B. W.(1973). “On the off-axis strength test for anisotropic materials.”J. Compos. Mat., 7(4), 246–256.
11.
Rizzo, R. R.(1969). “More on the influence of end constraints on off-axis tensile tests.”J. Composite Mat., 3, 202–219.
12.
Rowlands, R. E. (1985). “Strength (failure) theories and their experimental correlation.”Handbook of composites, Vol. 3—Failure mechanics of composites, 71–125.
13.
Sandhu, R. S. (1972). “A survey of failure theories of isotropic and anisotropic materials.”U.S. Air Force Tech. Rep. No. ASSDL-TR-72-71, Wright Patterson Air Force Base, Ohio.
14.
Suhling, J. C., Rowlands, R. E., Johnson, M. W., and Gunderson, D. E.(1984). “Tensorial strength analysis of paperboard.”Experimental Mech., 25(1), 75–84.
15.
Tsai, S. W., and Wu, E. M.(1971). “A general theory of strength for anisotropic materials.”J. Compos. Mat., 5(1), 58–80.
16.
van der Put, T. A. C. M. (1982). “A general failure criterion for wood.”IUFRO Timber Engrg. Group Meeting, Paper 23.
17.
Weibull, W. (1939). “A statistical theory of the strength of materials.”Proc., Royal Swedish Inst., 151, Royal Swedish Inst., Stockholm, Sweden.
Information & Authors
Information
Published In
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: May 1, 1998
Published in print: May 1998
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.