The critical loads for a layered material compressed by a surface load are determined numerically using the three-dimensional linearized theory of stability and the piecewise-homogeneous material model. Symmetry conditions on the lateral sides of a layered composite sample are assumed. It is shown that internal loss of stability in the layered composite is microbuckling near the loaded surface manifested as end crushing. The buckling modes decay with distance from the end. The effect of the inhomogeneity of the initial state induced by the load on the buckling modes is studied. The inhomogeneity of the initial state has a strong effect on the amplitudes of the buckling modes and the area of their localization
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
A. N. Guz, Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies [in Russian], Vyshcha Shkola, Kyiv (1986).
À. N. Guz, Fracture Mechanics of Compressed Composite Materials [in Russian], Naukova Dumka, Kyiv (1990).
A. N. Guz, Fundamentals of the Fracture Mechanics of Compressed Composites [in Russian], in two vols., Litera, Kyiv (2008).
A. N. Guz and V. A. Dekret, Short-Fiber Model in the Theory of the Stability of Composites [in Russian], LAP Lambert Acad. Publ., SaarbrTimes New Roman CE”ьcken (2015).
Ya. M. Grigorenko, Yu. N. Shevchenko, A. T. Vasilenko, et al., Numerical Methods, Vol. 11 of the 12-volume series Mechanics of Composite Materials [in Russian], A.S.K., Kyiv (2002).
V. S. Zelenskii, V. A. Dekret, and V. M. Bystrov, “Stability of a composite laminate at uniaxial loading,” in: Trans. Dniprodzerzhinsk State Technical University [in Russian], Issue 2(19) (Mathematical Problems of Engineering Mechanics), DDTU, Dniprodzerzhinsk (2012), pp. 49–53.
Yu. V. Kokhanenko, “Brittle end-crushing failure of composites,” Dokl. AN SSSR, 296, No. 4, 805–808 (1987).
J. E. Akin, Finite Element Analysis Concepts: via SolidWorks, World Scientific, Hackensack, NJ (2010).
E. J. Barbero, Finite Element Analysis of Composite Materials Using ANSYS, CRC Press (2013).
E. Yu. Bashchuk and V. Yu. Baichuk, “Influence of the principal stress state on the critical loads of a plate with a crack,” Int. Appl. Mech., 49, No. 3, 328–336 (2013).
V. M. Bystrov, V. A. Dekret, and V. S. Zelenskii, “Numerical analysis of the edge effect in a composite laminate with compressed reinforcement plies,” Int. Appl. Mech., 51, No. 5, 561–566 (2015).
V. A. Dekret, V. S. Zelenskii, and V. M. Bystrov, “Numerical analysis of stability of a laminated composite with uniaxially compressed reinforcement plies,” Int. Appl. Mech., 50, No. 5, 549–557 (2014).
N. A. Fleck, “Compressive failure of fiber composites,” Adv. Appl. Mech., 33, 43–117 (1997).
L. B. Greszczuk, “Microbuckling failure of lamina-reinforced composites,” in: Proc. 3rd Conf Composite Materials: Testing and Design ASTM STP, No. 546, Philadelphia (Pa) (1974), pp. 5–29.
L. B. Greszczuk, “Microbuckling failure of circular fiber-reinforced composites,” AIAA J., 13, 1311–1318 (1975).
A. N. Guz, Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies, Springer-Verlag, Heilberg–Berlin (1999).
A. N. Guz, “On study of nonclassical problems of fracture and failure mechanics and related mechanisms,” Int. Appl. Mech., 45, No. 1, 1–31 (2009).
A. N. Guz, “Setting up a theory of stability of fibrous and laminated composites,” Int. Appl. Mech., 45, No. 6, 587–613 (2009).
A. N. Guz, “Stability of elastic bodies under uniform compression (review),” Int. Appl. Mech., 48, No. 3, 241–293 (2012).
A. N. Guz, I. A. Guz, A. V. Menshikov, and V. A. Menshikov, “Three-dimensional problems in the dynamic fracture mechanics of materials with interface cracks (review),” Int. Appl. Mech., 49, No. 1, 3–79 (2013).
A. N. Guz and V. A. Dekret, “On two models in three-dimensional theory of stability of composite materials,” Int. Appl. Mech., 44, No. 8, 839–854 (2008).
A. N. Guz and V. A. Dekret, “Finite-fiber model in the three-dimentional theory of stability of composites (review),” Int. Appl. Mech., 52, No. 1, 1–48 (2016).
A. N. Guz and Yu. V. Kokhanenko, “Numerical solution of three-dimentional stability problems for elastic bodies,” Int. Appl. Mech., 37, No. 11, 1369–1399 (2001).
P. M. Jelf and N. A. Fleck, “Compression failure mechanisms in unidirectional composites,” J. Comp. Mater., 26, No. 18, 2706–2726 (1992).
Yu. V. Kokhanenko and V. M. Bystrov, “Edge effect in a laminated composite with longitudionally compressed laminas,” Int. Appl. Mech., 42, No. 8, 922–927 (2006).
N. K. Naik and R. S. Kumar, “Compressive strength of unidirectional composites: evaluation and comparison of prediction models,” Compos. Struct., 46, 299–308 (1999).
M. D. Nestorovic and N. Triantafyllidis, “Onset of failure in finitely strained layered composites subjected to combined normal and shear loading,” J. Mech. Phys. Solids, 52, 941–974 (2004).
S. Pissanetzky, Sparse Matrix Technology, Academic Press, London (1984).
B. W. Rosen, “Mechanics of composite strengthening,” in: Fiber Composite Materials, American Society of Metals, Metals Park, OH (1965), pp. 37–75.
C. Soutis, Compressive Behavior of Composites, Rapra Technology Ltd, United Kingdom (1997).
N. Triantafyllidis and W.C. Scynaidt, “Ñomparison of microscopic and macroscopic instabilities in a class of two-dimensional periodic composites,” J. Mech. Phys. Solids, 41, No. 9, 1533–1565 (1993).
T. J. Vogler, S.-Y. Hsu, and S. Kyriakides, “Composite failure under combined compression and shear,” Int. J. Solids Struct., 37, No. 12, 1765–1791 (2000).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Prikladnaya Mekhanika, Vol. 53, No. 2, pp. 49–58, March–April, 2017.
Rights and permissions
About this article
Cite this article
Bystrov, V.M., Dekret, V.A. & Zelenskii, V.S. Loss of Stability in a Composite Laminate Compressed by a Surface Load. Int Appl Mech 53, 156–163 (2017). https://doi.org/10.1007/s10778-017-0801-y
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10778-017-0801-y