Abstract
Organic–inorganic interfaces exist in many natural or synthetic materials, such as mineral–protein interfaces found in bone and epoxy–silica interfaces found in concrete construction. Here, we report a model to predict the intrinsic strength between organic and inorganic materials, based on a molecular dynamics simulation approach combined with the metadynamics method, used to reconstruct the free energy surface between attached and detached states of the bonded system and scaled up to incorporate it into a continuum model. We apply this technique to model an epoxy–silica system that primarily features nonbonded and nondirectional van der Waals and Coulombic chemical interactions. The intrinsic strength between epoxy and silica derived from the molecular level is used to predict the structural behavior of epoxy–silica interface at the macroscopic length scale by invoking a finite element approach using a cohesive zone model which shows a good agreement with existing experimental results.
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C. Au and O. Büyüköztürk: Peel and shear fracture characterization of debonding in FRP plated concrete affected by moisture. J. Compos. Constr. 10(1), 35–47 (2006).
D. Lau and O. Büyüköztürk: Fracture characterization of concrete/epoxy interface affected by moisture. Mech. Mater. 42(12), 1031 (2010).
B.M. Sharratt, L.C. Wang, and R.H. Dauskardt: Anomalous debonding behavior of a polymer/inorganic interface. Acta. Mater. 55, 3601 (2007).
C. Tuakta and O. Buyukozturk: Deterioration of FRP/concrete bond system under variable moisture conditions quantified by fracture mechanics. Composites Part B 42, 145 (2011).
O. Büyüköztürk, M.J. Buehler, D. Lau, and C. Tuakta: Structural solution using molecular dynamics: Fundamentals and a case study of epoxy-silica interface. Int. J. Solids Struct. 48(14–15), 2131 (2011).
M.J. Buehler: Atomistic Modeling of Materials Failure (Springer, New York, 2008).
M.A. Korzhinsky, S.I. Tkachenko, K.I. Shmulovich, and G.S. Steinberg: Native AI and Si formation. Nature 375, 544 (1995).
A. Laio and M. Parrinello: Escaping free-energy minima. Proc. Natl. Acad. Sci. U.S.A. 99(20), 12562 (2002).
A. Laio and F.L. Gervasio: Metadynamics: A method to simulate rare events and reconstruct the free energy in biophysics, chemistry and material science. Rep. Prog. Phys. 71(12), 126601 (2008).
S. Keten and M.J. Buehler: Asymptotic strength limit of hydrogen-bond assemblies in protein at vanishing pulling rates. Phys. Rev. Lett. 100(19), 198301 (2008).
A.K. Rappe and W.A.I. Goddard: Charge equilibration for molecular dynamics simulations. J. Phys. Chem. 95(8), 3358 (1991).
J.R. Maple, U. Dinur, and A.T. Hagler: Derivation of force fields for molecular mechanics and dynamics from ab initio energy surfaces. Prog. Natl. Acad. Sci. U.S.A. 85, 5350 (1988).
P. Dauber-Osguthorpe, V.A. Roberts, D.J. Osguthorpe, J. Wolff, M. Genest, and A.T. Hagler: Structure and energetics of ligand binding to proteins: Escherichia colidihydrofolate reductase-trimethoprim, a drug-receptor system. Proteins. Struct. Funct. Genet. 4, 47 (1988).
F. Ritschla, M. Faitb, K. Fiedlera, J.E.H. JKohlerc, B. Kubiasb, and M. Meisela: An extension of the consistent valence force field (CVFF) with the aim to simulate the structures of vanadium phosphorus oxides and the adsorption of n-butane and of 1-butene on their crystal planes. ZAAC Zeitschrift für anorganische und allgemeine Chemie 628(6), 1385 (2002).
S. Plimpton: Fast parallel algorithms for short-range molecular dynamics. J. Comput. Phys. 117, 1 (1995).
M. Bonomi, D. Branduardi, G. Bussi, C. Camilloni, D. Provasi, P. Raiteri, D. Donadio, F. Marinelli, F. Pietrucci, R.A. Broglia, and M. Parrinello: PLUMED: A portable plugin for free-energy calculations with molecular dynamics. Comput. Phys. Commun. 180(10), 1961–1972 (2009).
T. Ackbarow, X. Chen, S. Keten, and M.J. Buehler: Hierarchies, multiple energy barriers, and robustness govern the fracture mechanics of α-helical and β-sheet protein domains. Proc. Natl. Acad. Sci. U.S.A. 104(42), 16410–16415 (2007).
M. Sotomayor and K. Schulten: Single-molecule experiments in vitro and in silico. Science 316(5828), 1144 (2007).
J.F. Marko and E.D. Siggia: Stretching DNA. Macromolecules 28(26), 8759 (1995).
M. Rief, M. Gautel, F. Oesterhelt, J.M. Fernandez, and H.E. Gaub: Reversible unfolding of individual titin immunoglobulin domains by AFM. Science 276(5315), 1109 (1997).
A.F. Oberhauser, P.E. Marszalek, H.P. Erickson, and J.M. Fernandez: The molecular elasticity of the extracellular matrix protein tenascin. Nature 393(181), 181 (1998).
T.E. Fisher, A.F. Oberhauser, M. Carrion-Vazquez, P.E. Marszalek, and J.M. Fernandez: The study of protein mechanics with the atomic force microscope. Trends Biochem. Sci. 24, 379 (1999).
M. Rief, J.M. Fernandez, and H.E. Gaub: Elastically coupled two-level systems as a model for biopolymer extensibility. Phys. Rev. Lett. 84(21), 4764 (1998).
C. Bustamante, S.B. Smith, J. Liphardt, and D. Smith: Single-molecule studies of DNA mechanics. Curr. Opin. Struct. Biol. 10, 279 (2000).
D.S. Dugdale: Yielding in steel sheets containing slits. J. Mech. Phys. Solids 8, 100–104 (1960).
G.I. Barenblatt: The mathematical theory of equilibrium cracks in brittle fracture. In Advances in Applied Mechanics, H.L. Dryden and T. Von Karman, eds, Academic Press, New York, NY, 1962; pp. 55–129.
M. Elices, G.V. Guinea, J. Gomez, and J. Planas: The cohesive zone model: Advantages, limitations and challenges. Eng. Fract. Mech. 69(2), 137–163 (2002).
M. Frigione, M.A. Aiello, and C. Naddeo: Water effect on the bond strength of concrete/concrete adhesive joints. Constr. Build. Mater. 20, 957–970 (2006).
V.M. Karbhari and M. Engineer: Effects of environmental exposure on the external strengthening of concrete with composites-short term bond durability. J. Reinf. Plast. Compos. 15, 1194–1216 (1996).
Z. Ouyang and L. Guoqiang: Nonlinear interface shear fracture of end notched flexure specimens. Int. J. Solids Struct. 46, 2659–2668 (2009).
P. Qiao and Y. Xu: Effects of freeze-thaw and dry-wet conditionings on the mode-I fracture of FRP-concrete interface bonds. In Engineering, Construction and Operations in Challenging Environments: Proceedings of Ninth Biennial Conference of the Aerospace Division, edited by R.B. Malla and A. Maji (ASCE Conf. Proc., League City/Houston, TX, 2004), pp. 601–608.
I. Yarovsky and E. Evans: Computer simulation of structure and properties of crosslinked polymers application to epoxy resins. Polymer 43, 963 (2002).
C.A. May: Epoxy Resins: Chemistry and Technology, 2nd ed. (Marcel Dekker Inc, New York, 1987).
T. Diehl: On using a penalty-based cohesive-zone finite element approach: Part II–Inelastic peeling of an epoxy-bonded aluminum strip. Int. J. Adhes. Adhes. 28(4–5), 256 (2008).
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This research was supported by the National Science Foundation through the Division of Civil and Mechanical Systems (CMS) Grant No. 0856325.
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Lau, D., Büyüköztürk, O. & Buehler, M.J. Characterization of the intrinsic strength between epoxy and silica using a multiscale approach. Journal of Materials Research 27, 1787–1796 (2012). https://doi.org/10.1557/jmr.2012.96
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DOI: https://doi.org/10.1557/jmr.2012.96