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Two-dimensional stability problem for two interacting short fibers in a composite: In-line arrangement

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Abstract

A solution is found to a plane problem for a composite material reinforced with two in-line fibers and subjected to longitudinal compression. The problem formulation is based on the piecewise-homogeneous model and the three-dimensional theory of stability. The dependence of the critical strain and buckling mode on the distance between the fibers is studied for various mechanical and geometrical characteristics of the composite components.

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REFERENCES

  1. A. N. Guz (1986) Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies Vyshcha Shkola Kiev

    Google Scholar 

  2. A. N. Guz, V. A. Dekret, and Yu. V. Kokhanenko, “Plane stability problems for composites with finite reinforcement,” Mekh. Komp. Mater., No. 1, 3–10 (2001).

    Google Scholar 

  3. A. N. Guz V. A. Dekret Yu. V. Kokhanenko (2000) ArticleTitleSolution of plane problems of the three-dimensional stability of a ribbon-reinforced composite Int. Appl. Mech. 36 IssueID10 1317–1328

    Google Scholar 

  4. I. N. Molchanov, A. V. Popov, and A. N. Khimich, “An algorithm for solving a partial eigenvalue problem for large profile matrices,” Kibern. Sist. Anal., No. 2, 141–147 (1992).

    Google Scholar 

  5. J. M. Ortega W. G. Poole SuffixJr. (1981) An Introduction to Numerical Methods for Differential Equations Pitman Publishing Inc. Marshfield, Massachusetts

    Google Scholar 

  6. I. Yu. Babich A. N. Guz (2002) ArticleTitleStability of composite structural members (three-dimensional formulation) Int. Appl. Mech. 38 IssueID9 1048–1075

    Google Scholar 

  7. A. N. Guz (2001) ArticleTitleConstructing the three-dimensional theory of stability of deformable bodies Int. Appl. Mech. 37 IssueID1 1–37

    Google Scholar 

  8. A. N. Guz (1999) Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies Springer-Verlag Berlin

    Google Scholar 

  9. Yu. V. Kokhanenko S. V. Fesenko (2003) ArticleTitleParameters of the edge effect as a function of the mechanical characteristics of a composite with an interfacial crack Int. Appl. Mech. 38 IssueID12 1441–1446

    Google Scholar 

  10. Yu. V. Kokhanenko V. S. Zelenskii (2003) ArticleTitleInfluence of geometrical parameters on the critical load in three-dimensional stability problems for rectangular plates and beams Int. Appl. Mech. 39 IssueID9 1073–1080

    Google Scholar 

  11. Yu. V. Kokhanenko (1998) ArticleTitleFinite-element solution of plane problems of the linear elasticity theory of composites Int. Appl. Mech. 34 IssueID10 987–997

    Google Scholar 

  12. Yu. V. Kokhanenko (2001) ArticleTitleNumerical study of three-dimensional stability problems for laminated and ribbon reinforced composites Int. Appl. Mech. 37 IssueID3 317–345

    Google Scholar 

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Translated from Prikladnaya Mekhanika, Vol. 40, No. 9, pp. 65–74, September 2004.

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Guz, A.N., Dekret, V.A. & Kokhanenko, Y.V. Two-dimensional stability problem for two interacting short fibers in a composite: In-line arrangement. Int Appl Mech 40, 994–1001 (2004). https://doi.org/10.1007/s10778-005-0003-x

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  • DOI: https://doi.org/10.1007/s10778-005-0003-x

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