Skip to main content
Erschienen in: Mechanics of Composite Materials 5/2017

13.11.2017

Numerical Prediction of the Parameters of a Yield Criterion for Fibrous Composites

verfasst von: E. Małachowski, G. L’vov, S. Daryazadeh

Erschienen in: Mechanics of Composite Materials | Ausgabe 5/2017

Einloggen

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

search-config
loading …

Abstract

A numerical procedure is developed for predicting the parameters of a yield criterion for metal-matrix composites on the basis of known mechanical properties of the matrix and fibers. The macrocriterion of yielding is taken in the form of an invariant quadratic function of average stresses, with the use of a fourth-rank tensor. Transition to the plastic state is fixed using a FEM analysis of the distribution of stresses within the minimum representative volume of composite. A new procedure to simulate the periodicity conditions for the representative volume at a uniform average stress state of composite is proposed. A numerical analysis showed that the structure of yield function has to reflect the possibility of plastic deformations of composite in hydrostatic macroloading even if the matrix and fibers do not deform plastically at such a loading. For an orthogonally reinforced boron-aluminum composite, components of its yield tensor are determined, and convexity of the yield surface is established. Yield surfaces are constructed for different plane stress states of the composite.

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 R. Von Mises, “Mechanik der plastischen formänderung von Kristallen,” Zeitschrift für Angew Math. und Mech., 8, 161-185 (1928). R. Von Mises, “Mechanik der plastischen formänderung von Kristallen,” Zeitschrift für Angew Math. und Mech., 8, 161-185 (1928).
4.
Zurück zum Zitat M. Itskov and N. Aksel, “A constitutive model at large strains for orthotropic elasto-plasticity,” Archive of Appl. Mech., 74, 75-91 (2004).CrossRef M. Itskov and N. Aksel, “A constitutive model at large strains for orthotropic elasto-plasticity,” Archive of Appl. Mech., 74, 75-91 (2004).CrossRef
5.
Zurück zum Zitat J. Schroder, F. Gruttmann, and J. Loblein, “A simple orthotropic finite elasto-plasticity model based on generalized stress-strain measures,” Computational Mechanics, 30, 48-64 (2002).CrossRef J. Schroder, F. Gruttmann, and J. Loblein, “A simple orthotropic finite elasto-plasticity model based on generalized stress-strain measures,” Computational Mechanics, 30, 48-64 (2002).CrossRef
6.
Zurück zum Zitat K. Allaer, I. De Baere, P. Lava, W. Van Paepegem, and J. Degrieck, “On the in-plane mechanical properties of stainless-steel-fiber-reinforced ductile composites,” Compos. Sci. Technol., 100, 34-43 (2014). doi:https://doi.org/10.1016/j.compscitech. 2014.05.009 K. Allaer, I. De Baere, P. Lava, W. Van Paepegem, and J. Degrieck, “On the in-plane mechanical properties of stainless-steel-fiber-reinforced ductile composites,” Compos. Sci. Technol., 100, 34-43 (2014). doi:https://​doi.​org/​10.​1016/​j.​compscitech.​ 2014.05.009
9.
Zurück zum Zitat H. Ryou, K. Chung, and W. R. Yu, “Constitutive modeling of woven composites considering asymmetric/anisotropic, rate dependent, and nonlinear behavior,” Composites: Part A, 38, No. 12, 2500-2510 (2007). doi:https://doi.org/10.1016/j.compositesa. 2007.08.003 H. Ryou, K. Chung, and W. R. Yu, “Constitutive modeling of woven composites considering asymmetric/anisotropic, rate dependent, and nonlinear behavior,” Composites: Part A, 38, No. 12, 2500-2510 (2007). doi:https://​doi.​org/​10.​1016/​j.​compositesa.​ 2007.08.003
10.
Zurück zum Zitat K. Tohgo, Y. Itoh, and Y. Shimamura, “A constitutive model of particulate-reinforced composites taking account of particle size effects and damage evolution,” Composites: Part A, 41, No. 2, 313-321 (2010). doi:https://doi.org/10.1016/j.compositesa. 2009.10.023 K. Tohgo, Y. Itoh, and Y. Shimamura, “A constitutive model of particulate-reinforced composites taking account of particle size effects and damage evolution,” Composites: Part A, 41, No. 2, 313-321 (2010). doi:https://​doi.​org/​10.​1016/​j.​compositesa.​ 2009.10.023
12.
Zurück zum Zitat J. H. Kim, M. G. Lee, K. Chung, J. R. Youn, and T. J. Kang, “Anisotropic-asymmetric yield criterion and anisotropic hardening law for composite materials: theory and formulations,” Fibers and Polymers, 7, No. 1, 42-50 (2006).CrossRef J. H. Kim, M. G. Lee, K. Chung, J. R. Youn, and T. J. Kang, “Anisotropic-asymmetric yield criterion and anisotropic hardening law for composite materials: theory and formulations,” Fibers and Polymers, 7, No. 1, 42-50 (2006).CrossRef
13.
Zurück zum Zitat H. Altenbach and K. Tushtev, “A new static failure criterion for isotropic polymers,” Mech. Compos. Mater., 37, No. 5, 475-482 (2001).CrossRef H. Altenbach and K. Tushtev, “A new static failure criterion for isotropic polymers,” Mech. Compos. Mater., 37, No. 5, 475-482 (2001).CrossRef
14.
Zurück zum Zitat G. M. Vyas, S. T. Pinho, and P. Robinson, “Constitutive modelling of fiber-reinforced composites with unidirectional plies using a plasticity-based approach,” Compos. Sci. Technol., 71, No. 8, 1068-1074 (2011). doi:https://doi.org/10.1016/j.compscitech. 2011.03.009 G. M. Vyas, S. T. Pinho, and P. Robinson, “Constitutive modelling of fiber-reinforced composites with unidirectional plies using a plasticity-based approach,” Compos. Sci. Technol., 71, No. 8, 1068-1074 (2011). doi:https://​doi.​org/​10.​1016/​j.​compscitech.​ 2011.03.009
16.
Zurück zum Zitat J. Z. Viсuela and J. L. Pérez-Castellanos, “The anisotropic criterion of von Mises (1928) as a yield condition for PMMCs. A calibration procedure based on numerical cell-analysis,” Compos. Struct., 134, 613-632 (2015).doi:https://doi.org/10.1016/j.compstruct. 2015.08.091 J. Z. Viсuela and J. L. Pérez-Castellanos, “The anisotropic criterion of von Mises (1928) as a yield condition for PMMCs. A calibration procedure based on numerical cell-analysis,” Compos. Struct., 134, 613-632 (2015).doi:https://​doi.​org/​10.​1016/​j.​compstruct.​ 2015.08.091
19.
Zurück zum Zitat T. Okabe and N. Takeda, “Elastoplastic shear-lag analysis of single-fiber composites and strength prediction of unidirectional multi-fiber composites,” Composites: Part A, 33, 27-35 (2002). doi:https://doi.org/10.1016/S1359-835X (0200170-7 T. Okabe and N. Takeda, “Elastoplastic shear-lag analysis of single-fiber composites and strength prediction of unidirectional multi-fiber composites,” Composites: Part A, 33, 27-35 (2002). doi:https://​doi.​org/​10.​1016/​S1359-835X (0200170-7
21.
Zurück zum Zitat S. A. Meguid, G. Shagal, and R.Paskaramoorthy, “On the local elastic - plastic behaviour of the interface in titanium/silicon carbide composites,” Composites: Part A, 33, No. 12, P. 1629-1640 (2002). doi:https://doi.org/10.1016/S1359-835X (0200183-5 S. A. Meguid, G. Shagal, and R.Paskaramoorthy, “On the local elastic - plastic behaviour of the interface in titanium/silicon carbide composites,” Composites: Part A, 33, No. 12, P. 1629-1640 (2002). doi:https://​doi.​org/​10.​1016/​S1359-835X (0200183-5
23.
Zurück zum Zitat J., Aboudi, S. M. Arnold, and B. A. Bednarcyk, Micromechanics of Composite Materials, Butterworth-Heinemann-Elsevier, 2013. ISBN: 978-0123970350. J., Aboudi, S. M. Arnold, and B. A. Bednarcyk, Micromechanics of Composite Materials, Butterworth-Heinemann-Elsevier, 2013. ISBN: 978-0123970350.
24.
Zurück zum Zitat D. C. Drucker, “A definition of stable inelastic material,” ASME J. Appl. Mech., 26, 101-106 (1959). D. C. Drucker, “A definition of stable inelastic material,” ASME J. Appl. Mech., 26, 101-106 (1959).
25.
Zurück zum Zitat C. Truesdell and R. Toupin, The Classical Field Theories. Encyclopedia of Physics, “Principles of classical mechanics and field theory,” 2, No. 1, Berlin: Springer-Verlag, 1960. C. Truesdell and R. Toupin, The Classical Field Theories. Encyclopedia of Physics, “Principles of classical mechanics and field theory,” 2, No. 1, Berlin: Springer-Verlag, 1960.
28.
Zurück zum Zitat S. Darya Zadeh and G. Lvov, “The calculation of effective elastic constants in a composite with 3D orthogonal nonwoven fibers,” Tomsk State University J. of Mathematics and Mechanics, 3, No. 35, 60-68 (2015). doi 10.17223/19988621/35/8 CrossRef S. Darya Zadeh and G. Lvov, “The calculation of effective elastic constants in a composite with 3D orthogonal nonwoven fibers,” Tomsk State University J. of Mathematics and Mechanics, 3, No. 35, 60-68 (2015). doi 10.​17223/​19988621/​35/​8 CrossRef
29.
Zurück zum Zitat G. Korn and T. Korn, Mathematical Handbook for Scientists and Engineers [in Russian], M., Nauka, 1960, 832. G. Korn and T. Korn, Mathematical Handbook for Scientists and Engineers [in Russian], M., Nauka, 1960, 832.
Metadaten
Titel
Numerical Prediction of the Parameters of a Yield Criterion for Fibrous Composites
verfasst von
E. Małachowski
G. L’vov
S. Daryazadeh
Publikationsdatum
13.11.2017
Verlag
Springer US
Erschienen in
Mechanics of Composite Materials / Ausgabe 5/2017
Print ISSN: 0191-5665
Elektronische ISSN: 1573-8922
DOI
https://doi.org/10.1007/s11029-017-9689-1

Weitere Artikel der Ausgabe 5/2017

Mechanics of Composite Materials 5/2017 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.