Skip to main content
Top
Published in: Mechanics of Composite Materials 5/2021

23-11-2021

Effective Elastic Moduli of Short-Fiber Composite with Sliding Contact Conditions at Interfaces

Authors: V. V. Mykhas’kiv, B. M. Stasyuk

Published in: Mechanics of Composite Materials | Issue 5/2021

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The effective elastic moduli of 3D composite with uniformly distributed short fibers under sliding contact conditions at the interfaces are determined by means of the Mori–Tanaka averaging scheme modified on the discontinuous displacements and numerical boundary element method. The variants of both unidirectionally ordered and randomly oriented fillers are considered. The influences of constituent materials combination, fiber length, and fiber volume content on the effective elastic properties of composite are investigated. A comparison between the elastic moduli of composites with sliding and ideal contacts at the interfaces is carried out. Numerical results obtained were demonstrated both a decrease and an increase in individual effective elastic moduli due to an imperfect contact of the composite components.

Dont have a licence yet? Then find out more about our products and how to get one now:

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!

Literature
1.
go back to reference J. K. Kim and Y. W. Mai, Engineered Interfaces in Fiber-Reinforced Composites, Elsevier Ltd., Kidlington (1998). J. K. Kim and Y. W. Mai, Engineered Interfaces in Fiber-Reinforced Composites, Elsevier Ltd., Kidlington (1998).
2.
go back to reference P. K. Mallick, Fiber-Reinforced Composites: Materials, Manufacturing and Design, CRC Press, Boca Raton (2007).CrossRef P. K. Mallick, Fiber-Reinforced Composites: Materials, Manufacturing and Design, CRC Press, Boca Raton (2007).CrossRef
3.
go back to reference K. Zhou, H. J. Hoh, X. Wang, L. M. Keer, J. H. L. Pang, B. Song, and Q. J. Wang, “A review of recent works on inclusions,” Mech. Materials, 60, 144-158 (2013).CrossRef K. Zhou, H. J. Hoh, X. Wang, L. M. Keer, J. H. L. Pang, B. Song, and Q. J. Wang, “A review of recent works on inclusions,” Mech. Materials, 60, 144-158 (2013).CrossRef
4.
go back to reference V. I. Kushch, “Microstresses and effective elastic moduli of a solid reinforced by periodically distributed spheroidal inclusions,” Int. J. Solids Struct., 34, 1353-1366 (1997).CrossRef V. I. Kushch, “Microstresses and effective elastic moduli of a solid reinforced by periodically distributed spheroidal inclusions,” Int. J. Solids Struct., 34, 1353-1366 (1997).CrossRef
5.
go back to reference J. H. Huang, “Some closed-form solutions for effective moduli of composites containing randomly oriented short fibers,” Mater. Sci. Eng., A, 315, 11-20 (2001).CrossRef J. H. Huang, “Some closed-form solutions for effective moduli of composites containing randomly oriented short fibers,” Mater. Sci. Eng., A, 315, 11-20 (2001).CrossRef
6.
go back to reference Q. D. To, G. Bonnet, and D. H. Hoang, “Explicit effective elasticity tensors of two-phase periodic composites with spherical or ellipsoidal inclusions,” Int. J. Solids Struct., 94-95, 100-111 (2016).CrossRef Q. D. To, G. Bonnet, and D. H. Hoang, “Explicit effective elasticity tensors of two-phase periodic composites with spherical or ellipsoidal inclusions,” Int. J. Solids Struct., 94-95, 100-111 (2016).CrossRef
7.
go back to reference L. Nazarenko, H. Stolarski, L. Khoroshun, and H. Altenbach, “Effective thermo-elastic properties of random composites with orthotropic components and aligned ellipsoidal inhomogeneities,” Int. J. Solids Struct., 136-137, 220-240 (2018).CrossRef L. Nazarenko, H. Stolarski, L. Khoroshun, and H. Altenbach, “Effective thermo-elastic properties of random composites with orthotropic components and aligned ellipsoidal inhomogeneities,” Int. J. Solids Struct., 136-137, 220-240 (2018).CrossRef
8.
go back to reference L. Nazarenko, H. Stolarski, and H. Altenbach, “Thermo-elastic properties of random composites with unidirectional anisotropic short-fibers and interphases,” Europ. J. Mech. A/Solids, 70, 249-266 (2018).CrossRef L. Nazarenko, H. Stolarski, and H. Altenbach, “Thermo-elastic properties of random composites with unidirectional anisotropic short-fibers and interphases,” Europ. J. Mech. A/Solids, 70, 249-266 (2018).CrossRef
9.
go back to reference K. L. Goh, R. M. Aspden, Mathias K. J., and W. L. Hukins, “Finite element analysis of the effect of properties and fibre shape on stresses in an elastic fibre embedded in an elastic matrix in a fibre-composite material,” Proc. Roy. Soc. London, 460, 2339-2352 (2004). K. L. Goh, R. M. Aspden, Mathias K. J., and W. L. Hukins, “Finite element analysis of the effect of properties and fibre shape on stresses in an elastic fibre embedded in an elastic matrix in a fibre-composite material,” Proc. Roy. Soc. London, 460, 2339-2352 (2004).
10.
go back to reference H. Okada, Y. Fukui, and N. Kumazawa, “Homogenization analysis for particulate composite materials using the boundary element method,” CMES: Computer Modeling in Eng. & Sc., 5, 135-149 (2004). H. Okada, Y. Fukui, and N. Kumazawa, “Homogenization analysis for particulate composite materials using the boundary element method,” CMES: Computer Modeling in Eng. & Sc., 5, 135-149 (2004).
11.
go back to reference H. G. Kim and L. K. Kwac, “Evaluation of elastic modulus for unidirectionally aligned short fiber composites,” J. Mech. Sci. Technol., 23, 54-63 (2009).CrossRef H. G. Kim and L. K. Kwac, “Evaluation of elastic modulus for unidirectionally aligned short fiber composites,” J. Mech. Sci. Technol., 23, 54-63 (2009).CrossRef
12.
go back to reference S. I. Kundalwal and M. C. Ray, “Effective properties of a novel composite reinforced with short carbon fibers and radially aligned carbon nanotubes,” Mech. Mater., 53, 47-60 (2012).CrossRef S. I. Kundalwal and M. C. Ray, “Effective properties of a novel composite reinforced with short carbon fibers and radially aligned carbon nanotubes,” Mech. Mater., 53, 47-60 (2012).CrossRef
13.
go back to reference G. Ya. Popov and N. D. Vaysfel’d, “Axisymmetric problem of theory elasticity for an infinite plate with cylindrical inclusion with account for its specific weight,” Appl. Mech., 50, No. 6, 27-38 (2014). G. Ya. Popov and N. D. Vaysfel’d, “Axisymmetric problem of theory elasticity for an infinite plate with cylindrical inclusion with account for its specific weight,” Appl. Mech., 50, No. 6, 27-38 (2014).
14.
go back to reference V. V. Mykhas’kiv and B. M. Stasyuk, “Stress intensification due to the crack outside/inside a finite fiber in 3-D elastic matrix,” Theor. Appl. Fracture Mech., 80, 133-142 (2015). V. V. Mykhas’kiv and B. M. Stasyuk, “Stress intensification due to the crack outside/inside a finite fiber in 3-D elastic matrix,” Theor. Appl. Fracture Mech., 80, 133-142 (2015).
15.
go back to reference Z. M. Huang, C. C. Zhang, and Y. D. Xue, “Stiffness prediction of short fiber reinforced composites,” Int. J. Mech. Sci., 161-162, 105068 (2019).CrossRef Z. M. Huang, C. C. Zhang, and Y. D. Xue, “Stiffness prediction of short fiber reinforced composites,” Int. J. Mech. Sci., 161-162, 105068 (2019).CrossRef
16.
go back to reference Z. Hashin, “Thin interphase/imperfect interface in elasticity with application to coated fiber composites,” J. Mech. Phys. Solids, 50, 2509-2537 (2002).CrossRef Z. Hashin, “Thin interphase/imperfect interface in elasticity with application to coated fiber composites,” J. Mech. Phys. Solids, 50, 2509-2537 (2002).CrossRef
17.
go back to reference Y. I. Kunets, V. V. Matus, V. V. Mykhas’kiv, A. Boström, and Ch. Zhang, “ Scattering of a SH-wave by an elastic fiber of nonclassical cross section with an interface crack,” Mech. Compos. Mater., 44, No. 2, 245-254 (2008). Y. I. Kunets, V. V. Matus, V. V. Mykhas’kiv, A. Boström, and Ch. Zhang, “ Scattering of a SH-wave by an elastic fiber of nonclassical cross section with an interface crack,” Mech. Compos. Mater., 44, No. 2, 245-254 (2008).
18.
go back to reference S. T. Gu, J. T. Liu, and Q. C. He, “Size-dependent effective elastic moduli of particulate composites with interfacial displacement and traction discontinuities,” Int. J. Solids Struct., 51, 2283-2296 (2014).CrossRef S. T. Gu, J. T. Liu, and Q. C. He, “Size-dependent effective elastic moduli of particulate composites with interfacial displacement and traction discontinuities,” Int. J. Solids Struct., 51, 2283-2296 (2014).CrossRef
19.
go back to reference L. Nazarenko, H. Stolarski, and H. Altenbach, „Effective properties of short-fiber composites with Gurtin-Murdoch model of interphase,” Int. J. Solids Struct., 97-98, 75-88 (2016).CrossRef L. Nazarenko, H. Stolarski, and H. Altenbach, „Effective properties of short-fiber composites with Gurtin-Murdoch model of interphase,” Int. J. Solids Struct., 97-98, 75-88 (2016).CrossRef
20.
go back to reference L. P. Khoroshun, “Effective elastic properties of granular stochastic composite materials with defects at the interface between components,” Appl. Mech., 53, No. 5, 108-121 (2017) L. P. Khoroshun, “Effective elastic properties of granular stochastic composite materials with defects at the interface between components,” Appl. Mech., 53, No. 5, 108-121 (2017)
21.
go back to reference V. I. Kushch, “Elastic interaction between ellipsoidal inhomogeneities with imperfect interface and effective stiffness of particulate composite,” Int. J. Eng. Sci.,142, 94-105 (2019).CrossRef V. I. Kushch, “Elastic interaction between ellipsoidal inhomogeneities with imperfect interface and effective stiffness of particulate composite,” Int. J. Eng. Sci.,142, 94-105 (2019).CrossRef
22.
go back to reference T. Mura and R. Furuhashi, “The elastic inclusion with a sliding interface,” ASME J. Appl. Mech., 51, 308-310 (1984).CrossRef T. Mura and R. Furuhashi, “The elastic inclusion with a sliding interface,” ASME J. Appl. Mech., 51, 308-310 (1984).CrossRef
23.
go back to reference I. Jasiuk, E. Tsuchida, and T. Mura, “The sliding inclusion under shear,” Int. J. Solids Struct., 23, 1373-1385 (1987).CrossRef I. Jasiuk, E. Tsuchida, and T. Mura, “The sliding inclusion under shear,” Int. J. Solids Struct., 23, 1373-1385 (1987).CrossRef
24.
go back to reference Z. Zhong and S. A. Meguid, “On the elastic field of a spherical inhomogeneity with an imperfectly bonded interface,” J. Elasticity, 46, 91-113 (1997).CrossRef Z. Zhong and S. A. Meguid, “On the elastic field of a spherical inhomogeneity with an imperfectly bonded interface,” J. Elasticity, 46, 91-113 (1997).CrossRef
25.
go back to reference H. Hatami-Marbini and H. M. Shodja, “Thermoelastic fields of a functionally graded coated inhomogeneity with sliding/perfect interlaces,” ASME J. Appl. Mech., 74, 389-398 (2007).CrossRef H. Hatami-Marbini and H. M. Shodja, “Thermoelastic fields of a functionally graded coated inhomogeneity with sliding/perfect interlaces,” ASME J. Appl. Mech., 74, 389-398 (2007).CrossRef
26.
go back to reference V. V. Mykhas’kiv and B. M. Stasyuk, “Elastic state of a sliding short fiber inclusion in a three-dimensional matrix,” Int. Appl. Mech., 51, No. 6, 640-647 (2015). V. V. Mykhas’kiv and B. M. Stasyuk, “Elastic state of a sliding short fiber inclusion in a three-dimensional matrix,” Int. Appl. Mech., 51, No. 6, 640-647 (2015).
27.
go back to reference I. Jasiuk, “Elastic moduli of composites with rigid sliding inclusions,” J. Mech. Phys. Solids, 40, 373-391 (1992).CrossRef I. Jasiuk, “Elastic moduli of composites with rigid sliding inclusions,” J. Mech. Phys. Solids, 40, 373-391 (1992).CrossRef
28.
go back to reference J. H. Huang, R. Furuhashi, and T. Mura, “Frictional sliding inclusions,” J. Mech. Phys. Solids, 41, 247-265 (1993).CrossRef J. H. Huang, R. Furuhashi, and T. Mura, “Frictional sliding inclusions,” J. Mech. Phys. Solids, 41, 247-265 (1993).CrossRef
29.
go back to reference T. Mori and K. Tanaka, “Average stress in matrix and average elastic energy of materials with misfitting inclusions,” Acta Metallurgica, 21, 571-574 (1973).CrossRef T. Mori and K. Tanaka, “Average stress in matrix and average elastic energy of materials with misfitting inclusions,” Acta Metallurgica, 21, 571-574 (1973).CrossRef
30.
go back to reference Y. Benveniste, “The effective mechanical behavior of composite materials with imperfect contact between the constituents,” Mech. Mater., 4, 197-208 (1985).CrossRef Y. Benveniste, “The effective mechanical behavior of composite materials with imperfect contact between the constituents,” Mech. Mater., 4, 197-208 (1985).CrossRef
31.
go back to reference V. V. Mykhas’kiv and B. M. Stasyuk, “Effective elastic properties of 3D composites with short curvilinear fibers: numerical simulation and experimental validation,” Solid State Phenomena, 258, 452-455 (2017). V. V. Mykhas’kiv and B. M. Stasyuk, “Effective elastic properties of 3D composites with short curvilinear fibers: numerical simulation and experimental validation,” Solid State Phenomena, 258, 452-455 (2017).
Metadata
Title
Effective Elastic Moduli of Short-Fiber Composite with Sliding Contact Conditions at Interfaces
Authors
V. V. Mykhas’kiv
B. M. Stasyuk
Publication date
23-11-2021
Publisher
Springer US
Published in
Mechanics of Composite Materials / Issue 5/2021
Print ISSN: 0191-5665
Electronic ISSN: 1573-8922
DOI
https://doi.org/10.1007/s11029-021-09985-8

Other articles of this Issue 5/2021

Mechanics of Composite Materials 5/2021 Go to the issue

Premium Partners