Modeling interfacial effects on the thermal conduction behavior of short fiber reinforced composites
-
Dominik Duschlbauer
, Helmut J. Böhm und Heinz E. Pettermann
Abstract
A replacement scheme is explored which uses perfectly bonded ellipsoidal replacement inhomogeneities to model the thermal conduction behavior of non-ellipsoidal fiber-like inhomogeneities with imperfect interfaces. Replacement conductivity and dilute gradient concentration tensors are introduced and their numerical evaluation from single-inhomogeneity models is discussed. The replacement tensors are incorporated into orientation averaged and multi-inclusion Mori–Tanaka schemes to study the thermal conduction responses of composites reinforced by randomly oriented short fibers at non-dilute volume fractions. Results on the effective conductivities and the local fields in individual fibers are compared to predictions from numerical homogenization of unit cells containing periodic arrangements of randomly oriented short fibers in a matrix.
References
[1] J.D.Eshelby: Proc. Roy. Soc. London A241 (1957) 376.10.1098/rspa.1957.0133Suche in Google Scholar
[2] O.D.Kellogg: Foundations of Potential Theory, Dover, New York (1953).Suche in Google Scholar
[3] H.S.Carslaw, J.C.Jaeger: Conduction of Heat in Solids, Oxford University Press, Oxford (1986).Suche in Google Scholar
[4] H.Hatta, M.Taya: Int. J. Engng. Sci.24 (1986) 1159.Suche in Google Scholar
[5] H.Jeong, D.K.Hsu, P.K.Liaw: Compos. Sci. Technol.58 (1998) 65.Suche in Google Scholar
[6] D.P.H.Hasselman, L.F.Johnson: J. Compos. Mater.21 (1987) 508.Suche in Google Scholar
[7] S.Torquato, D.M.Rintoul: Phys. Rev. Lett.75 (1995) 4067.Suche in Google Scholar
[8] D.Duschlbauer, H.E.Pettermann, H.J.Böhm: J. Appl. Phys.94 (2003) 1539.Suche in Google Scholar
[9] Y.Benveniste, T.Miloh: Int. J. Engng. Sci.24 (1986) 1537.Suche in Google Scholar
[10] M.L.Dunn, M.Taya: J. Appl. Phys.73 (1993) 1711.Suche in Google Scholar
[11] M.P.Lutz, R.W.Zimmerman: Int. J. Sol. Struct.42 (2005) 429.Suche in Google Scholar
[12] C.Q.Ru, P.Schiavone: Proc. Roy. Soc. London A453 (1997) 2551.Suche in Google Scholar
[13] T.Chen: Int. J. Sol. Struct.38 (2001) 3081.10.1016/S0020-7683(00)00191-8Suche in Google Scholar
[14] P.Gilormini, Y.Germain: Int. J. Sol. Struct.23 (1987) 413.Suche in Google Scholar
[15] M.D.Adley, D.G.Taggart: Comput. Struct.57 (1995) 773.Suche in Google Scholar
[16] M.Bornert: Comput. Mater. Sci.5 (1996) 17.10.1137/S1064827594277065Suche in Google Scholar
[17] R.D.Bradshaw, F.T.Fisher, L.C.Brinson: Compos. Sci. Engng.63 (2003) 1705.Suche in Google Scholar
[18] S.Nogales, H.J.Böhm: Int. J. Engng. Sci.46 (2008) 606.Suche in Google Scholar
[19] M.Kachanov, I.Tsukrov, B.Shafiro: Appl. Mech. Rev.47 (1994) 151.Suche in Google Scholar
[20] I.Sevostianov, M.Kachanov, T.Zohdi: Int. J. Sol. Struct.45 (2008) 4375.Suche in Google Scholar
[21] Y.Benveniste: J. Appl. Phys.61 (1987) 2840.10.1063/1.337877Suche in Google Scholar
[22] D.Duschlbauer, H.J.Böhm, H.E.Pettermann: Mater. Sci. Technol.19 (2003) 1107.Suche in Google Scholar
[23] K.Markov, L.Preziosi: Heterogeneous Media: Micromechanics Modeling Methods and Simulations, Birkhäuser, Boston, 2000.10.1007/978-1-4612-1332-1Suche in Google Scholar
[24] Y.Benveniste, G.J.Dvorak, T.Chen: J. Mech. Phys. Sol.39 (1991) 927.Suche in Google Scholar
[25] D.Duschlbauer: Computational Simulation of the Thermal Conductivity of MMCs under Consideration of the Inclusion–Matrix Interface, VDI-Verlag, Düsseldorf, 2004.Suche in Google Scholar
[26] J.F.Nye: Physical Properties of Crystals, Oxford Science Publications, Oxford, 1985.Suche in Google Scholar
[27] Y.Benveniste: Mech. Mater.6 (1987) 147.10.1016/0167-6636(87)90005-6Suche in Google Scholar
[28] A.N.Norris: J. Appl. Mech.56 (1989) 83.10.1115/1.3176070Suche in Google Scholar
[29] Y.Benveniste, T.Chen, G.J.Dvorak: J. Appl. Phys.67 (1990) 2878.Suche in Google Scholar
[30] E.Neubauer: Interface Optimization in Copper–Carbon Metal Matrix Composites, Ph.D. Thesis, Vienna University of Technology, Vienna, 2003.Suche in Google Scholar
[31] H.J.BöhmA.Eckschlager, W.Han: Comput. Mater. Sci.25 (2002) 42.Suche in Google Scholar
© 2011, Carl Hanser Verlag, München
Artikel in diesem Heft
- Original Contributions
- Microstructure and adhesion of as-deposited and annealed Cu/Ti films on polyimide
- On the origin of inhomogeneous stress and strain distributions in single-crystalline metallic nanoparticles
- Contents
- Contents
- Editorial
- Editorial June 2011
- IJMR's most downloaded papers
- Original Contributions
- An excursion into the design space of biomimetic architectured biphasic actuators
- Strategies for fracture toughness, strength and reliability optimisation of ceramic-ceramic laminates
- Fracture statistics of brittle materials at micro- and nano-scales
- Martensitic phase transformations of nanocrystalline NiTi shape memory alloys processed by repeated cold rolling
- Variational modeling of shape memory alloys – an overview
- Phase-field approach to martensitic phase transformations: Effect of martensite–martensite interface energy
- Modelling of diffusive and massive phase transformations in binary systems – thick interface parametric model
- On the strength of grain and phase boundaries in ferritic-martensitic dual-phase steels
- A micro-level strain analysis of a high-strength dual-phase steel
- Thermodynamic description of niobium-rich γ-TiAl alloys
- Phase transition and ordering behavior of ternary Ti–Al–Mo alloys using in-situ neutron diffraction
- Microstructure evolution and mechanical properties of an intermetallic Ti-43.5Al-4Nb-1Mo-0.1B alloy after ageing below the eutectoid temperature
- Investigation of Cu precipitation in bcc-Fe – Comparison of numerical analysis with experiment
- Modeling interfacial effects on the thermal conduction behavior of short fiber reinforced composites
- Electronic origin of structure and mechanical properties in Y and Nb alloyed Ti–Al–N thin films
- DGM News
- DGM News
Artikel in diesem Heft
- Original Contributions
- Microstructure and adhesion of as-deposited and annealed Cu/Ti films on polyimide
- On the origin of inhomogeneous stress and strain distributions in single-crystalline metallic nanoparticles
- Contents
- Contents
- Editorial
- Editorial June 2011
- IJMR's most downloaded papers
- Original Contributions
- An excursion into the design space of biomimetic architectured biphasic actuators
- Strategies for fracture toughness, strength and reliability optimisation of ceramic-ceramic laminates
- Fracture statistics of brittle materials at micro- and nano-scales
- Martensitic phase transformations of nanocrystalline NiTi shape memory alloys processed by repeated cold rolling
- Variational modeling of shape memory alloys – an overview
- Phase-field approach to martensitic phase transformations: Effect of martensite–martensite interface energy
- Modelling of diffusive and massive phase transformations in binary systems – thick interface parametric model
- On the strength of grain and phase boundaries in ferritic-martensitic dual-phase steels
- A micro-level strain analysis of a high-strength dual-phase steel
- Thermodynamic description of niobium-rich γ-TiAl alloys
- Phase transition and ordering behavior of ternary Ti–Al–Mo alloys using in-situ neutron diffraction
- Microstructure evolution and mechanical properties of an intermetallic Ti-43.5Al-4Nb-1Mo-0.1B alloy after ageing below the eutectoid temperature
- Investigation of Cu precipitation in bcc-Fe – Comparison of numerical analysis with experiment
- Modeling interfacial effects on the thermal conduction behavior of short fiber reinforced composites
- Electronic origin of structure and mechanical properties in Y and Nb alloyed Ti–Al–N thin films
- DGM News
- DGM News