The second world-wide failure exercise is an international activity, organised by Kaddour and Hinton, aiming at a better understanding of the limitations of existing failure criteria to predict failure under triaxial stressing. The present work is a response to an invitation to take part and employ Hashin's failure criteria to the 12 test cases defined by the organizers of the second world-wide failure exercise. Methods, based on nonlinear analysis, used to perform the required simulations are explained and the predictions are presented. Observed problems are discussed.
SodenPDKaddourASHintonMJ. Recommendations for designers and researchers resulting from the world-wide failure exercise. Compos Sci Technol2004; 64(3–4): 589–604.
2.
PaganoNJ. Interlaminar stresses in composite laminates under uniform axial extension. J Compos Mater1970; 4: 538–548.
3.
MittelstedtCBeckerW. Interlaminar stress concentrations in layered structures Part I: a selective literature survey on the free-edge effect since 1967. J Compos Mater2004; 38: 1037–1062.
4.
MittelstedtCBeckerW. The PipesPagano-problem revisited: elastic fields in boundary layers of plane laminated specimens under combined thermomechanical load. Compos Struct2007; 80: 373–395.
5.
GriffithAA. The phenomenon of rupture and flow in solids. Phil Trans Roy Soc A1920; 221: 163–198.
6.
KirchhoffG. Über das Gleichgewicht und die Bewegung einer elastischen Scheibe. J f reine u angew Math1850; 40: 51–88.
7.
Love AEH. Treatise on the mathematical theory of elasticity. Dover (reprint of the 4th edition, 1927), New York, 1944.
8.
Puck A and Voirol P. Power transmission shaft. US Patent number 4362521, 1980.
9.
RoosRKressGErmanniW. A post-processing method for interlaminar normal stresses in doubly curved laminates. Compos Struct2007; 81(3): 463–470.
10.
Kaddour AS and Hinton MJ. The background to the second world-wide failure exercise (WWFE-II). J Compos Mater 2012; 46: 2283–2294.
11.
Kaddour AS and Hinton MJ. Input data for test cases used in benchmarking triaxial failure theories of composites. J Compos Mater 2012; 46: 2295–2312.
12.
HashinZ. Failure criteria for unidirectional fiber composites. ASME Trans J Appl Mech1980; 47(6): 329–334.
13.
KressGOrthotropic properties of layered fiber compositesOctober 15–18, 1985; p.65–70Proceedings of workshop: composite design for space applicationsESTEC, Noordwijk, Netherlands.
14.
KressG. Three-dimensional properties of a generally orthotropic symmetric laminate. In: GreenWAMicunovicM (eds) Mechanical behaviour of composites and laminates, chapter III. Kupari: Elsevier Applied Science, 1986, pp. 185–191.
15.
Kress G. Finite-element modeling for simulating strength testing with tubular specimens. In: Simulation von Verbunden: Material und Strukturen, Bad Kissingen, Germany, 6–7 November 2007, pp.611–637.
16.
JonesRM. Mechanics of composite materials. New York, NY: Hemisphere Publishing Corporation, 1975.
TsaiSW. Fundamental aspects of fiber reinforced plastic composites. Ann Arbor, MI: University Michigen Press, 1968.
19.
TsaiSWWuEM. A general theory of strength for anisotropic materials. J Compos Mater1971; 5(1): 58–80.
20.
HoffmanO. The brittle strength of orthotropic materials. J Compos Mater1967; 1(2): 200–206.
21.
SchneiderWBardenheierR. Versagenskriterien für Kunststoffe. Zeitschrift für Werk-stofftechnik1975; 6(8): 269–280.
22.
Puck A. Festigkeitsanalyse von Faser-Metrix-Laminaten, Modelle für die Praxis. Munich: Carl Hanser Verlag, 1996.
23.
ReddyJN. An introduction to nonlinear finite element analysis. Norfolk: Oxford University Press, 2004.
24.
NewtonI. De analysis per aequationes infinitas (1690). In: WhitesideDT (ed.) The mathematical papers of Isaac Newton, Vol. 11, Cambridge, UK: Cambridge University Press, 1968, pp. 207–247.
25.
Raphson J. Analysis aequationum universalis seu adaequationes algebraicas resolvendas methodus generalis et expedita, ex nove infinitarum serierum doctrina deducta ac demonstrata. Original in British Library, London, 1690.
26.
Kaddour AS and Hinton MJ. Benchmarking of triaxial failure criteria for composite laminates: comparison between models of ‘Part (A)’ of ‘WWFE-II’. J Compos Mater 2012; 46: 2595–2634.
