Skip to main content
Erschienen in: Mechanics of Composite Materials 2/2016

06.05.2016

Influence of the Interaction Between Fibers Periodically Located in a Composite Material on the Distribution of Stresses in It

verfasst von: S. D. Akbarov, R. Kosker, Y. Ucan

Erschienen in: Mechanics of Composite Materials | Ausgabe 2/2016

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Within the framework of a piecewise homogeneous body model, with the use of exact equations of the threedimensional geometrically nonlinear elasticity theory, the stress distributions in a unidirectional fibrous composite containing a row of periodically curved fibers is investigated. The midlines of the fibers are located in different parallel planes, and the curvatures of these lines are periodic and cophasal. The body is loaded at infinity by uniformly distributed normal forces in the direction of fiber location, and the stress distribution in it is investigated. The self-balanced normal and shear stresses arising as a result of fiber curvature are analyzed, and the effects of interaction between the fibers and of geometrical nonlinearity on their distribution are studied. The corresponding numerical results are presented and discussed.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Yu. M. Tarnopolsky, I. G. Jigun, and V. A. Polyakov, Spatially-Reinforced Composite Materials: Handbook, Mashinostroyenia, Moscow, (in Russian) (1987). Yu. M. Tarnopolsky, I. G. Jigun, and V. A. Polyakov, Spatially-Reinforced Composite Materials: Handbook, Mashinostroyenia, Moscow, (in Russian) (1987).
2.
Zurück zum Zitat A. N. Guz, Failure Mechanics of Composite Materials in Compression, Kiev: Naukova Dumka, 630 p. (in Russian.) (1990). A. N. Guz, Failure Mechanics of Composite Materials in Compression, Kiev: Naukova Dumka, 630 p. (in Russian.) (1990).
3.
Zurück zum Zitat A. Kelly, Composite Materials: impediments do wider use and some suggestions to overcome these. Proc. Book ECCM-8, 3-6 June, Napoles-Italy, Vol. I, pp15-18, (1998). A. Kelly, Composite Materials: impediments do wider use and some suggestions to overcome these. Proc. Book ECCM-8, 3-6 June, Napoles-Italy, Vol. I, pp15-18, (1998).
4.
Zurück zum Zitat S. D. Akbarov and A. N. Guz, Mechanics of Curved Composites, Kluwer Academic Publishers, 464 p (2000). S. D. Akbarov and A. N. Guz, Mechanics of Curved Composites, Kluwer Academic Publishers, 464 p (2000).
5.
Zurück zum Zitat A. N. Guz, “On one two-level model in the mesomechanics of compression fracture of cracked composites,” Int. Appl. Mech., 39, No. 3, 274-285 (2003).CrossRef A. N. Guz, “On one two-level model in the mesomechanics of compression fracture of cracked composites,” Int. Appl. Mech., 39, No. 3, 274-285 (2003).CrossRef
6.
Zurück zum Zitat H. T. Corten, in L. J. Broutman and R.H. Krock (eds.) Fracture of Reinforced Plastics. Modern Composite Materials, pp. 27-100, Addison-Wesley, Reading, MA, (1967). H. T. Corten, in L. J. Broutman and R.H. Krock (eds.) Fracture of Reinforced Plastics. Modern Composite Materials, pp. 27-100, Addison-Wesley, Reading, MA, (1967).
7.
Zurück zum Zitat Yu. M. Tarnopolsky and A.V. Rose, Special Feature of Design of Parts Fabricated From Reinforced Plastics, Zinatne, Riga, (1969). Yu. M. Tarnopolsky and A.V. Rose, Special Feature of Design of Parts Fabricated From Reinforced Plastics, Zinatne, Riga, (1969).
8.
Zurück zum Zitat M. Yu. Kashtalyan, “On deformation of ceramic cracked matrix cross-ply composites laminates,” Int. Appl. Mech. 41, No.1, 37-47 (2005). M. Yu. Kashtalyan, “On deformation of ceramic cracked matrix cross-ply composites laminates,” Int. Appl. Mech. 41, No.1, 37-47 (2005).
9.
Zurück zum Zitat S. D. Akbarov, Stability Loss and Buckling Delamination: Three-Dimensional Linearized Approach for Elastic and Viscoelastic Composites, Springer, 548 p. (2012) S. D. Akbarov, Stability Loss and Buckling Delamination: Three-Dimensional Linearized Approach for Elastic and Viscoelastic Composites, Springer, 548 p. (2012)
10.
Zurück zum Zitat S. D. Akbarov and A. N. Guz, “Method of solving problems in the mechanics of fiber composites with curved structures,” Soviet Appl. Mech., March, 777-785 (1985). S. D. Akbarov and A. N. Guz, “Method of solving problems in the mechanics of fiber composites with curved structures,” Soviet Appl. Mech., March, 777-785 (1985).
11.
Zurück zum Zitat S. D. Akbarov and A. N. Guz, “Mechanics of curved composites (piecewise homogenous body model),” Int. Appl. Mech., 38, No.12, 1415-1439 (2002). S. D. Akbarov and A. N. Guz, “Mechanics of curved composites (piecewise homogenous body model),” Int. Appl. Mech., 38, No.12, 1415-1439 (2002).
12.
Zurück zum Zitat R. Kosker and S. D. Akbarov, “Influence of the interaction between two neighbouring periodically curved fibers on the stress distribution in a composite material,” Mech. Compos. Mater., 39, No. 2, 165-176 (2003).CrossRef R. Kosker and S. D. Akbarov, “Influence of the interaction between two neighbouring periodically curved fibers on the stress distribution in a composite material,” Mech. Compos. Mater., 39, No. 2, 165-176 (2003).CrossRef
13.
Zurück zum Zitat S. D. Akbarov and R. Kosker, “On a stress analysis in the infinite elastic body with two neighbouring curved fibers,” Composites: Part B: Eng., 34, No 2,143-150 (2003). S. D. Akbarov and R. Kosker, “On a stress analysis in the infinite elastic body with two neighbouring curved fibers,” Composites: Part B: Eng., 34, No 2,143-150 (2003).
14.
Zurück zum Zitat S. D. Akbarov, “Three-dimensional stability loss problems of the viscoelastic composite materials and structural members,” Int. Appl. Mech., 43, No. 10, 3-27 (2007).CrossRef S. D. Akbarov, “Three-dimensional stability loss problems of the viscoelastic composite materials and structural members,” Int. Appl. Mech., 43, No. 10, 3-27 (2007).CrossRef
15.
Zurück zum Zitat S. D. Akbarov, R. Kosker, and Y. Ucan, “Stress distribution in an elastic body with a periodically curved row of fibers,”. Mech. Compos. Mater. 40, No. 3, 191-202 (2004).CrossRef S. D. Akbarov, R. Kosker, and Y. Ucan, “Stress distribution in an elastic body with a periodically curved row of fibers,”. Mech. Compos. Mater. 40, No. 3, 191-202 (2004).CrossRef
16.
Zurück zum Zitat S. D. Akbarov, R. Kosker, and Y. Ucan, “Stress distribution in a composite material with the row of anti-phase periodically curved fibers,” Int. Appl. Mech., 42, No. 4, 486-493 (2006).CrossRef S. D. Akbarov, R. Kosker, and Y. Ucan, “Stress distribution in a composite material with the row of anti-phase periodically curved fibers,” Int. Appl. Mech., 42, No. 4, 486-493 (2006).CrossRef
17.
Zurück zum Zitat S. D. Akbarov, R. Kosker, and Y.Ucan,” The effect of the geometrical non-linearity on the stress distribution in the infinite elastic body with a periodically curved row of fibers,” CMC: Computers, Materials, & Continua, 17, No. 2, 77-102 (2010). S. D. Akbarov, R. Kosker, and Y.Ucan,” The effect of the geometrical non-linearity on the stress distribution in the infinite elastic body with a periodically curved row of fibers,” CMC: Computers, Materials, & Continua, 17, No. 2, 77-102 (2010).
18.
Zurück zum Zitat A. N. Guz, Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies, Springer, 555 p (1999). A. N. Guz, Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies, Springer, 555 p (1999).
19.
Zurück zum Zitat A. N. Guz, “Constructing the three-dimensional theory of stability of deformable bodies”, Int. Appl. Mech., 37, No. 1, 1-37 (2001).CrossRef A. N. Guz, “Constructing the three-dimensional theory of stability of deformable bodies”, Int. Appl. Mech., 37, No. 1, 1-37 (2001).CrossRef
20.
Zurück zum Zitat S. D. Akbarov and A. N. Guz, “Mechanics of curved composites and some related problems for structural members,” Mech. of Advanced Mater. and Struct., 11, 445-515 (2004).CrossRef S. D. Akbarov and A. N. Guz, “Mechanics of curved composites and some related problems for structural members,” Mech. of Advanced Mater. and Struct., 11, 445-515 (2004).CrossRef
21.
Zurück zum Zitat G. N. Watson, A Treatise on the Theory of Bessel functions, Cambridge University Press, England, 753, (1944). G. N. Watson, A Treatise on the Theory of Bessel functions, Cambridge University Press, England, 753, (1944).
22.
Zurück zum Zitat L.V. Kantarovich and V. I. Krilov, Approximate Methods in Advanced Calculus, Moscow: Fizmatgiz, 708 p (in Russian) (1962). L.V. Kantarovich and V. I. Krilov, Approximate Methods in Advanced Calculus, Moscow: Fizmatgiz, 708 p (in Russian) (1962).
23.
Zurück zum Zitat A. N. Guz and V. N. Chekhov, “Problems of folding in the earth’s stratified crust,” Int. Appl. Mech., 43, No. 2, 127-159 (2007).CrossRef A. N. Guz and V. N. Chekhov, “Problems of folding in the earth’s stratified crust,” Int. Appl. Mech., 43, No. 2, 127-159 (2007).CrossRef
24.
Zurück zum Zitat R. Kosker and S. D. Akbarov, “Stress distribution caused by out of plane co-phase periodical curving of two neighboring fibers in a composite material,” Conf. on Damage in Composite Materials: Non-Destructive Testing and Simulation (CDCM06), 18-19 September, Germany, p. 167 (2006) R. Kosker and S. D. Akbarov, “Stress distribution caused by out of plane co-phase periodical curving of two neighboring fibers in a composite material,” Conf. on Damage in Composite Materials: Non-Destructive Testing and Simulation (CDCM06), 18-19 September, Germany, p. 167 (2006)
25.
Zurück zum Zitat S. D. Akbarov and A. N. Guz, “Stress state of a fiber composite with curved structures with a low fiber concentration,” Soviet Appl. Mech. December, 560-565 (1985). S. D. Akbarov and A. N. Guz, “Stress state of a fiber composite with curved structures with a low fiber concentration,” Soviet Appl. Mech. December, 560-565 (1985).
26.
Zurück zum Zitat M. S. Babaev; A. N.Guz and M. A. Cherevko, “Stability of a series of fibers in an elastic matrix at small subcritical deformations,” Soviet Appl. Mech., 21, No 5, 443-450 (1985). M. S. Babaev; A. N.Guz and M. A. Cherevko, “Stability of a series of fibers in an elastic matrix at small subcritical deformations,” Soviet Appl. Mech., 21, No 5, 443-450 (1985).
Metadaten
Titel
Influence of the Interaction Between Fibers Periodically Located in a Composite Material on the Distribution of Stresses in It
verfasst von
S. D. Akbarov
R. Kosker
Y. Ucan
Publikationsdatum
06.05.2016
Verlag
Springer US
Erschienen in
Mechanics of Composite Materials / Ausgabe 2/2016
Print ISSN: 0191-5665
Elektronische ISSN: 1573-8922
DOI
https://doi.org/10.1007/s11029-016-9577-0

Weitere Artikel der Ausgabe 2/2016

Mechanics of Composite Materials 2/2016 Zur Ausgabe

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.