每年出版 6 期
ISSN 打印: 1543-1649
ISSN 在线: 1940-4352
Indexed in
A MULTISCALE MODEL OF RATE DEPENDENCE OF NANOCRYSTALLINE THIN FILMS
摘要
The rate dependence of nanocrystalline thin films is modeled as the competition between two microstructural deformation mechanisms: intra-granular crystal plasticity and inter-granular diffusion-based grain-boundary sliding. The analysis is conducted within the framework of a multiscale finite-element scheme based on the mathematical theory of homogenization. The key parameters entering the description of the grain interior and grain boundary models are calibrated through comparison with high strain rate tensile tests and creep experiments, respectively. The prediction of the viscoplastic response of gold thin films is validated against tensile test measurements obtained over seven decades of strain rate. The relative contribution of the microstructural damage mechanisms is analyzed.
-
Allaire, G., Homogenization and two-scale convergence. DOI: 10.1137/0523084
-
Arzt, E., Size effects in materials due to microstructural and dimensional constraints: A comparative review. DOI: 10.1016/S1359-6454(98)00231-6
-
Asaro, R.J. and Needleman, A., Overview no.42 texture development and strain hardening in rate dependent polycrystals. DOI: 10.1016/0001-6160(85)90188-9
-
Asaro, R.J. and Suresh, S., Mechanistic models for the activation volume and rate sensitivity in metals with nanocrystalline grains and nano-scale twins. DOI: 10.1016/j.actamat.2005.03.047
-
Ashby, M.F., Boundary defects, and atomistic aspects of boundary sliding and diffusional creep. DOI: 10.1016/0039-6028(72)90273-7
-
Baker, S.P., Vinci, R.P., and Arias, T., Elastic and anelastic behavior of materials in small dimensions. DOI: 10.1557/mrs2002.16
-
Bensousson, A., Lions, J.L., and Papanicolaou, G., Asymptotic Analysis for Periodic Structures.
-
Chasiotis, I., Bateson, C., Timpano, K., McCarty, A.S., Barker, N.S., and Stanec, J.R., Strain rate effects on the mechanical behavior of nanocrystalline Au film. DOI: 10.1016/j.tsf.2006.01.033
-
Chauhan, S. and Bastawros, A.F., Probing thickness-dependent dislocation storage in free standing Cu film using residual electrical resistivity. DOI: 10.1063/1.2961006
-
Coble, R.L., A model for boundary disffusion controle creep in polycrystalline materials. DOI: 10.1063/1.1702656
-
Emery, R.D. and Povirk, G.L. , Tensile behavior of free-standing gold films Part II. Fine-grained film. DOI: 10.1016/S1359-6454(03)00007-7
-
Espinosa, H.D., Prorok, B.C., and Peng, B., Plasticity size effects in free-standing submicron polycrystalline FCC film subjected to pure tension. DOI: 10.1016/j.jmps.2003.07.001
-
Fish, J., Shek, K., Pandheeradi, M., and Shephard, M., Computational plasticity for composite structures based on mathematical homogenization: Theory and practice. DOI: 10.1016/S0045-7825(97)00030-3
-
Fu, H.-H., Benson, D.J., and Andre Meyers, M., Computational description of nanocrystalline deformation based on crystal plasticity. DOI: 10.1016/j.actamat.2004.05.036
-
Guedes, J. and Kikuchi, N., Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods. DOI: 10.1016/0045-7825(90)90148-F
-
Haque, M.A. and Saif, M.T.A., Deformation mechanisms in free-standing nanoscale thin films: A quantitative in situ transmission electron microscope study. DOI: 10.1073/pnas.0400066101
-
Herring, C. , Diffusional viscosity of a polycrystalline solid. DOI: 10.1063/1.1699681
-
Huntington, H.B., The Elastic Constants of Crystals.
-
Hutchinson, J.W., Bounds and self-consistent estimates for creep of polycrystalline materials. DOI: 10.1098/rspa.1976.0027
-
Inglis, H.M., Geubelle, P.H., Matous, K., Tan, H., and Huang, Y., Cohesive modeling of dewetting in particulate composites: Micromechanics vs. multiscale finite element analysis. DOI: 10.1016/j.mechmat.2006.08.008
-
Jerusalem, A., Stainier, L., and Radovitzky, R., A continuum model describing the reverse grain-size dependence of the strength of nanocrystalline metals. DOI: 10.1080/14786430701230252
-
Jonnalagadda, K., Chasiotis, I., Yagnamurthy, S., Lambros, J., Pulskamp, J., Polcawich, R., and Dubey, M., Experimental investigation of strain rate dependence of nanocrystalline Pt film. DOI: 10.1007/s11340-008-9212-7
-
Jonnalagadda, K., Karanjgaokar, N., Chasiotis, I., Chee, J., and Peroulis, D., Strain rate sensitivity of nanocrystalline Au film at room temperature. DOI: 10.1016/j.actamat.2010.04.048
-
Kim, H.S. and Estrin, Y., Phase mixture modeling of the strain rate dependent mechanical behavior of nanostructured materials. DOI: 10.1016/j.actamat.2004.10.028
-
Kocks, U.F., Relation between polycrystal deformation and single-crystal deformation. DOI: 10.1007/BF02900224
-
Lapman, S., ASM Handbook.
-
Lebensohn, R.A., Bringa, E.M., and Caro, A., A viscoplastic micromechanical model for the yield strength of nanocrystalline materials. DOI: 10.1016/j.actamat.2006.07.023
-
Lene, F. and Leguillon, D., Homogenized constitutive law for a partially cohesive composite material. DOI: 10.1016/0020-7683(82)90082-8
-
Li, S.F., Wang, G., and Morgan, E., Effective elastic moduli of two dimensional solids with distributed cohesive microcracks. DOI: 10.1016/j.euromechsol.2004.07.002
-
Long, G.S., Read, D.T., McColskey, J.D., and Crago, K., Microstructural and mechanical characterization of electrodeposited gold film.
-
Matous, K. and Geubelle, P.H., Multiscale modelling of particle de bonding in reinforced elastomers subjected to finite deformations. DOI: 10.1002/nme.1446
-
Matous, K., Inglis, H.M., Gu, X., Rypl, D., Jackson, T.L., and Geubelle, P.H., Multiscale modeling of solid propellants: From particle packing to failure. DOI: 10.1016/j.compscitech.2006.06.017
-
Meyers, M.A., Mishra, A., and Benson, D.J., Mechanical properties of nanocrystalline materials. DOI: 10.4032/9789814241755
-
Michel, J.C., Moulinec, H., and Suquet, P., Effective properties of composite materials with periodic microstructure: A computational approach. DOI: 10.1016/S0045-7825(98)00227-8
-
Morris, S.J.S. and Jackson,I., Diffusionally assisted grain-boundary sliding and viscoelasticity of polycrystals. DOI: 10.1016/j.jmps.2008.12.006
-
Peirce, D., Shih, C.F., and Needleman, A., Tangent modulus method for rate dependent solids. DOI: 10.1016/0045-7949(84)90033-6
-
Raj, R. and Ashby, M., On grain boundary sliding and diffusional creep. DOI: 10.1016/0039-6028(72)90274-9
-
Rand, O. and Rovenski, V., Analytical Methods in Anisotropic Elasticity: with Symbolic Computational Tools. DOI: bbm:978-0-8176-4420-8/1
-
Ranganathan, S.I. and Ostoja-Starzewski, M., Scale-dependent homogenization of inelastic random polycrystals. DOI: 10.1115/1.2912999
-
Sakai, S., Tanimoto, H., Kita, E., and Mizubayashi, H., Characteristic creep behavior of nanocrystalline metals found for high-density gold. DOI: 10.1103/PhysRevB.66.214106
-
Sanchez-Palencia, E., Non-Homogeneous Media and Vibration Theory. DOI: 10.1007/3-540-10000-8_5
-
Sanchez-Palencia, E. and Zaoui, A., Homogenization Techniques for Composite Media. DOI: 10.1007/3-540-17616-0
-
Swygenhoven, H.V., Footprints of plastic deformation in nanocrystalline metals. DOI: 10.1016/j.msea.2006.10.204
-
Terada, K. and Kikuchi, N., A class of general algorithms for multiscale analyses of heterogeneous media. DOI: 10.1016/S0045-7825(01)00179-7
-
Thompson, C.V., Structure evolution during processing of polycrystalline film. DOI: 10.1146/annurev.matsci.30.1.159
-
Wang, L. and Prorok, B.C., Characterization of the strain rate dependent behavior of nanocrystalline gold film. DOI: 10.1557/JMR.2008.0032
-
Wei, Y.J. and Anand, L., Grain-boundary sliding and separation in polycrystalline metals: Application to nanocrystalline FCC metals. DOI: 10.1016/j.jmps.2004.04.006
-
Wei, Y. and Gao, H., An elastic-viscoplastic model of deformation in nanocrystalline metals based on coupled mechanisms in grain boundaries and grain interiors. DOI: 10.1016/j.msea.2007.05.054
-
Wei, Y., Su, C., and Anand, L., A computational study of the mechanical behavior of nanocrystalline FCC metals. DOI: 10.1016/j.actamat.2006.03.007
-
Yagi, N., Rikukawa, A., Mizubayashi, H., and Tanimoto, H., Experimental tests of the elementary mechanism responsible forc reep deformation in nanocrystalline gold. DOI: 10.1103/PhysRevB.74.144105
-
Yamakov, V., Wolf, D., Phillpot, S.R., Mukherjee, A.K., and Gleiter, H., Deformation-mechanism map for nanocrystalline metals by molecular-dynamics simulation. DOI: 10.1038/nmat1035
-
Yan, X., Brown, W.L., Li, Y., Papapolymerou, J., Palego, C., Hwang, J.C.M., and Vinci, R.P., Anelastic stress relaxation in gold film and its impact on restoring forces in MEMS devices. DOI: 10.1109/JMEMS.2009.2016280
-
Karanjgaokar Nikhil, Stump Fernando, Geubelle Philippe, Chasiotis Ioannis, A thermally activated model for room temperature creep in nanocrystalline Au films at intermediate stresses, Scripta Materialia, 68, 8, 2013. Crossref
-
Chasiotis Ioannis, Experiments and Models for the Time Dependent Mechanics of Nanoscale Polymeric Structures and Nanocrystalline Metal Films, in Mechanics of Time-Dependent Materials and Processes in Conventional and Multifunctional Materials, Volume 3, 2011. Crossref