Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Bücher
Zeitschriften
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
MTZ-Fachkongress

Antriebe und Energiesysteme von morgen


Austausch von Automobil- und Energiewirtschaft

Am 14./15. Mai geht es in Chemnitz um die Mobilitätswende durch Elektro- und Wasserstofffahrzeuge.
Erweiterte Suche
Anmelden
nach oben
Continuum Mechanics and Thermodynamics
Erschienen in: Continuum Mechanics and Thermodynamics 2/2021

25.08.2020 | Original Article

Two-scale thermomechanical damage model for dynamic shear failure in brittle solids

verfasst von: Kokouvi Gbetchi, Cristian Dascalu

Erschienen in: Continuum Mechanics and Thermodynamics | Ausgabe 2/2021

Einloggen

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

search-config
loading …

Abstract

A coupled thermomechanical damage approach for dynamic shear failure in brittle solids is proposed in the present contribution. The model is constructed by asymptotic homogenization from microstructures with dynamically evolving microcracks, in mode II, with unilateral contact and friction conditions on their lips. Crack-tip and frictional heating effects assumed at the small scale give rise to distributed heat sources in the macroscopic temperature equation and specific dissipation terms in the upscaled damage law. The analysis of the effective thermomechanical response of the model reveals strain rate and size effects and the influence of friction and growth of microcracks on the macroscopic thermal evolutions.
Vorheriger Artikel Non-local hydrodynamics as a slow manifold for the one-dimensional kinetic equation
Nächster Artikel Enhanced characterization of the yield behavior of sheet metal at torsional load using digital image correlation methods

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!

Jetzt informieren

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!

Jetzt informieren
Anhänge
Nur mit Berechtigung zugänglich
Literatur
1.
ABAQUS 6.13, Analysis User’s Manual. Dassault Systems Simulia Corporation, RI, USA (2013)
2.
Andrieux, S., Bamberger, Y., Marigo, J.-J.: Un modele de materiau microfissure pour les betons et les roches. J. Méc. Theor. Appl. 5, 471–513 (1986)MATH
3.
Archer, J.S., Lesser, A.J.: Shear band formation and mode II fracture of polymeric glasses. J. Polym. Sci. B: Polym. Phys. 49, 103–114 (2010)ADSCrossRef
4.
Ashby, M.F., Hallam, S.D.: The failure of brittle solids containing small cracks under compressive stress states. Acta Metall. 34, 497–510 (1986)CrossRef
5.
Atiezo, M.K., Gbetchi, K., Dascalu, C.: Dynamic shear damage with frictional sliding on microcracks. Eng. Fract. Mech. 236 (2020)
6.
Auriault, J.-L.: Wave propagation and transient heat transfer in thermoelastic composites. Int. J. Heat Mass Transf. 55, 5972–5978 (2012)CrossRef
7.
Bui, H.D., Ehrlacher, A., Nguyen, Q.S.: Propagation de fissure en thermoélasticité dynamique. J. de Mécanique 19, 697–723 (1980)MathSciNetMATH
8.
Bhatt, H., Rosakis, A., Sammis, G.: A micro-mechanics based constitutive model for brittle failure at high strain rates. J. Appl. Mech. 79(3), 1016–28 (2011)
9.
Bjerke, T.W.: Thermomechanical Behavior of Amorphous Polymers During High-Speed Crack Propagation, Ph.D. Dissertation, University of Delaware, Newark, DE (2002)
10.
Bjerke, T.W., Lambros, J.: Theoretical development and experimental validation of a thermally dissipative cohesive zone model for dynamic fracture of amorphous polymers. J. Mech. Phys. Solids 51, 1947–1970 (2003)CrossRef
11.
Bougaut, O., Rittel, D.: On crack-tip cooling during dynamic crack initiation. Int. J. Solids Struct. 38, 2517–2532 (2001)MATHCrossRef
12.
Bjerke, T.W., Lambros, J.: Heating during shearing and opening dominated dynamic fracture of polymers. Exp. Mech. 42(1), 107–114 (2002)CrossRef
13.
Camacho, G.T., Ortiz, M.: Computational modelling of impact damage in brittle materials. Int. J. Solids Struct. 33, 2899–2938 (1996)MATHCrossRef
14.
Dascalu, C.: Multiscale modeling of rapid failure in brittle solids: branching instabilities. Mech. Mater. 116, 77–89 (2018)CrossRef
15.
Dascalu, C., Bilbie, G., Agiasofitou, E.: Damage and size effect in elastic solids: a homogenization approach. Int. J. Solids Struct. 45, 409–430 (2008)MATHCrossRef
16.
Dascalu, C., Gbetchi, K.: Dynamic evolution of damage by microcracking with heat dissipation. Int. J. Solids Struct. 174–175, 128–144 (2019)CrossRef
17.
Dienes, J.K., Zuo, Q.H., Kershner, J.D.: Impact initiation of explosives and propellants via statistical crack mechanics. J. Mech. Phys. Solids 54(6), 1237–1275 (2006)ADSMATHCrossRef
18.
Duarte, C.A., Grilli, N., Koslowski, M.: Effect of initial damage variability on hot-spot nucleation in energetic materials. J. Appl. Phys. 124(2), 025104 (2018)ADSCrossRef
19.
Ene, H.I.: On linear thermoelasticity of composite materials. Int. J. Eng. Sci. 21, 443–448 (1983)MATHCrossRef
20.
Fialko, Y.: Temperature fields generated by the elastodynamic propagation of shear cracks in the Earth. J. Geophys. Res. 109, B01303 (2004)ADS
21.
Fish, J.: Practical Multiscaling. Wiley, London (2013)
22.
23.
24.
Gambarotta, L., Lagomarsino, S.: A microcrack damage model for brittle materials. Int. J. Solids Struct 30(2), 177–198 (1993)MATHCrossRef
25.
Grilli, N., Duarte, C.A., Koslowski, M.: Dynamic fracture and hot-spot modeling in energetic composites. J. Appl. Phys. 123(6), 065101 (2018)ADSCrossRef
26.
Halm, D., Dragon, A.: An anisotropic model of damage and frictional sliding for brittle materials. Eur. J. Mech. A Solids 17, 439–460 (1998)ADSMathSciNetMATHCrossRef
27.
Horii, H., Nemat-Nasser, S.: Brittle failure in compression: splitting, faulting and brittle-ductile transition. Philos. Trans. R. Soc. Lond. 319, 337–374 (1986)ADSMATHCrossRef
28.
Huang, C., Subhash, G., Vitton, S.J.: A dynamic damage growth model for uniaxial compressive response of rock aggregates. Mech. Mater. 34, 267–277 (2002)CrossRef
29.
Kachanov, L.M.: A microcrack model of rock inelasticity–part I: frictional sliding on microcracks; part II: propagation of microcracks. Mech. Mater. 1, 19–41 (1982)CrossRef
30.
Keita, O., Dascalu, C., François, B.: A two-scale model for dynamic damage evolution. J. Mech. Phys. Solids. 64, 170–183 (2014)ADSMathSciNetCrossRef
31.
Lachenbruch, A.H.: Frictional heating, fluid pressure, and the resistance to fault motion. J. Geophys. Res. 85, 6097–6122 (1980)ADSCrossRef
32.
Lawn, B.R., Marshall, D.B.: Nonlinear stress-strain curves for solids containing closed cracks with friction. J. Mech. Phys. 46(1), 85–113 (1998)ADSMATHCrossRef
33.
Lee, X., Ju, J.W.: Micromechanical damage model for brittle solids–II: compressive loadings. J. Eng. Mech. ASCE 117, 1515–1536 (1991)CrossRef
34.
Leguillon, D., Sanchez-Palencia, E.: On the behaviour of a cracked elastic body with (or without) friction. J. Mech. Theor. Appl. 1, 195–209 (1982)MATH
35.
Nemat-Nasser, S., Obata, M.: A microcrack model of dilatancy in brittle material. J. Appl. Mech. 55, 24–35 (1988)ADSCrossRef
36.
Nemat-Nasser, S., Deng, H.: Strain-rate effect on brittle failure in compression. Acta Metall. Mater. 42, 1013–1024 (1994)CrossRef
37.
Paliwal, B., Ramesh, K.T.: An interacting micro-crack damage model for failure of brittle materials under compression. J. Mech. Phys. Solids 56(3), 896–923 (2008)ADSMATHCrossRef
38.
39.
Ravi-Chandar, K., Lu, J., Yang, B., Zhu, Z.: Failure mode transitions in polymers under high strain rate loading. Int. J. Fract. 101, 33–72 (2000)CrossRef
40.
Ravichandran, G., Subhash, G.: A micromechanical model for high strain rate behavior of ceramics. Int. J. Solids Struct. 32, 2627–2646 (1995)MATHCrossRef
41.
Rice, J.R.: Heating, weakening and shear localization in earthquake rupture. Philos. Trans. R. Soc. A 375, 20160015 (2017)ADSCrossRef
42.
Rittel, D.: Experimental investigation of transient thermoelastic effects in dynamic fracture. Int. J. Solids Struct. 35, 2959–2973 (1998)CrossRef
43.
Rittel, D.: Thermomechanical aspects of dynamic crack initiation. Int. J. Fract. 99, 199–209 (1999)CrossRef
44.
Rosakis, A.J., Samudrala, O., Coker, D.: Cracks faster than the shear wave speed. Science 284, 1337–1340 (1999)ADSCrossRef
45.
Rosakis, A.J., Samudrala, O., Coker, D.: Intersonic shear crack growth along weak planes. Mat. Res. Innovat. 3, 236–243 (2000)CrossRef
46.
Sanchez-Palencia, E.: Non-homogeneous Media and Vibration Theory. Lecture Notes in Physics, vol. 127. Springer, Berlin (1980)MATH
47.
Schlüter, A., Kuhn, C., Müller, R., Gross, D.: An investigation of intersonic fracture using a phase field model. Arch. Appl. Mech. 86, 321–333 (2016)ADSCrossRef
48.
49.
Sun, N.S., Hsu, T.R.: Thermomechanical coupling effects on fractured solids. Int. J. Fract. 78, 67–87 (1996)CrossRef
50.
Shao, Y., Zhang, Y., Xu, X., Zhou, Z., Li, W., Liu, B.: Effect of crack pattern on the residual strength of ceramics after quenching. J. Am. Ceram. Soc. 94, 2804–2807 (2011)CrossRef
51.
Telega, J.J.: Homogenization of fissured elastic solids in the presence of unilateral conditions and friction. Comput. Mech. 6, 109–127 (1990)MATHCrossRef
52.
Truesdell, C.A., Toupin, R.A.: The Classical Field Theories, Handbuch der Physik. Springer, Berlin, Vols. III-1 (1960)
53.
Wrzesniak, A., Dascalu, C., Besuelle, P.: A two-scale time-dependent model of damage: influence of micro-cracks friction. Eur. J. Mech. A/Solids 49, 345–361 (2014)MathSciNetMATHCrossRef
54.
Zhu, Q.Z., Shao, J.F.: A refined micromechanical damage-friction model with strength prediction for rock-like materials under compression. Int. J. Solids Struct. 60, 75–83 (2015)CrossRef
55.
Zhu, Q.Z., Zhao, L.Y., Shao, J.F.: Analytical and numerical analysis of frictional damage in quasi brittle materials. J. Mech. Phys. Solids 92, 137–163 (2016)ADSMathSciNetCrossRef
56.
Yevtushenko, A.A., Kuciej, M.: Influence of the protective strip properties on distribution of the temperature at transient frictional heating. Int. J. Heat Mass Transf. 52, 376–384 (2009)MATHCrossRef
57.
Yevtushenko, A.A., Kuciej, M., Yevtushenko, O.: Three-element model of frictional heating during braking with contact thermal resistance and time-dependent pressure. Int. J. Therm. Sci. 50, 1116–1124 (2011)MATHCrossRef
Metadaten
Titel
Two-scale thermomechanical damage model for dynamic shear failure in brittle solids
verfasst von
Kokouvi Gbetchi
Cristian Dascalu
Publikationsdatum
25.08.2020
Verlag
Springer Berlin Heidelberg
Erschienen in
Continuum Mechanics and Thermodynamics / Ausgabe 2/2021
Print ISSN: 0935-1175
Elektronische ISSN: 1432-0959
DOI
https://doi.org/10.1007/s00161-020-00916-x

Weitere Artikel der Ausgabe 2/2021

Continuum Mechanics and Thermodynamics 2/2021 Zur Ausgabe

Original Article

Void growth and morphology evolution during ductile failure in an FCC single crystal

Original Article

Unconditional finite amplitude stability of a fluid in a mechanically isolated vessel with spatially non-uniform wall temperature

Original Article

Gibbs–Appell method-based governing equations for one-dimensional finite elements used in flexible multibody systems

Original Article

Nonlinear stress-driven nonlocal formulation of Timoshenko beams made of FGMs

Short Communication

Asymmetric lipid bilayers from the perspective of three-dimensional liquid crystal theory

Original Article

Magnetoelastic thin films at large strains

Premium Partner

    Marktübersichten

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

    Zur Marktübersicht
    Bildnachweise