Effective modulus of polycrystalline aggregates in different geometrical configurations
In the present study, a finite element scheme with random distribution strategy is employed to systematically investigate the modulus difference of polycrystalline copper aggregates in different geometrical configurations (three-dimensional bulk and thin film configurations). Firstly, the finite ele...
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| Published in: | Materials science & engineering. A, Structural materials : properties, microstructure and processing Vol. 527; no. 18-19; pp. 5008 - 5017 |
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| Format: | Journal Article |
| Language: | English |
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15-07-2010
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| Abstract | In the present study, a finite element scheme with random distribution strategy is employed to systematically investigate the modulus difference of polycrystalline copper aggregates in different geometrical configurations (three-dimensional bulk and thin film configurations). Firstly, the finite element simulation is performed to estimate the effective elastic constants in three-dimensional bulk configuration. The numerical estimations are in good agreement with the existing analytical solutions and experimental measurements. Secondly, the proven finite element scheme is extended to the prediction of the effective moduli of the free-standing and substrate-attached thin films. For the free-standing thin film, the effective Young's modulus decreases with reducing the film thickness. For the substrate-attached thin film, its effective modulus is affected by the relative stiffness between the substrate and the film. The spread of the effective moduli in different configurations could be as large as 20%. |
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| AbstractList | In the present study, a finite element scheme with random distribution strategy is employed to systematically investigate the modulus difference of polycrystalline copper aggregates in different geometrical configurations (three-dimensional bulk and thin film configurations). Firstly, the finite element simulation is performed to estimate the effective elastic constants in three-dimensional bulk configuration. The numerical estimations are in good agreement with the existing analytical solutions and experimental measurements. Secondly, the proven finite element scheme is extended to the prediction of the effective moduli of the free-standing and substrate-attached thin films. For the free-standing thin film, the effective Young's modulus decreases with reducing the film thickness. For the substrate-attached thin film, its effective modulus is affected by the relative stiffness between the substrate and the film. The spread of the effective moduli in different configurations could be as large as 20%. |
| Author | Xie, X.M. Fan, H. Sze, K.Y. |
| Author_xml | – sequence: 1 givenname: H. surname: Fan fullname: Fan, H. organization: School of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore 639798, Singapore – sequence: 2 givenname: X.M. surname: Xie fullname: Xie, X.M. email: XIEX0006@ntu.edu.sg organization: School of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore 639798, Singapore – sequence: 3 givenname: K.Y. surname: Sze fullname: Sze, K.Y. organization: Department of Mechanical Engineering, The University of Hong Kong, Pokfulam, Hong Kong, PR China |
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| CitedBy_id | crossref_primary_10_1016_j_jmmm_2015_04_016 crossref_primary_10_1016_j_msea_2021_142515 crossref_primary_10_1016_j_msea_2010_05_028 crossref_primary_10_1063_1_3653254 crossref_primary_10_1142_S1758825112500317 crossref_primary_10_1016_j_ijengsci_2018_04_004 |
| Cites_doi | 10.1016/0040-6090(87)90357-9 10.1016/S0749-6419(00)00062-0 10.1016/0020-7225(70)90014-5 10.1016/j.jmps.2003.07.001 10.1016/j.commatsci.2007.04.007 10.1016/0022-5096(96)00052-X 10.1016/0022-5096(62)90005-4 10.1016/S0013-7944(01)00124-2 10.1016/S0749-6419(00)00061-9 10.1115/1.1362670 10.1557/jmr.2006.0195 10.1088/0965-0393/7/6/301 10.1016/S0065-2156(08)70330-2 10.1063/1.1644634 10.1016/j.cma.2004.02.015 10.1016/S1359-6454(98)00231-6 10.1016/S1359-6454(00)00128-2 10.1088/0022-3727/11/18/011 10.1088/0370-1298/65/5/307 10.1016/j.jmps.2005.05.004 10.1016/j.finel.2005.04.004 10.1146/annurev.ms.26.080196.002243 10.1016/0022-5096(66)90025-1 10.1557/JMR.1988.0931 10.1016/j.jmps.2004.08.007 10.1016/j.ijmecsci.2006.01.003 10.1016/S1359-6454(96)00366-7 10.1007/BF02666659 10.1007/978-94-009-3489-4 10.1016/S1359-6454(01)00328-7 |
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| Issue | 18-19 |
| Keywords | Effective modulus Finite element analysis Polycrystalline material Statistics Thin film Elastic constants Polycrystals Metal clusters Random distribution Thin films Thickness Young modulus Finite element method Transition elements Analytical method Free-standing film Stiffness Copper |
| Language | English |
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| SubjectTerms | Aggregates Computer simulation Condensed matter: structure, mechanical and thermal properties Effective modulus Estimates Exact sciences and technology Finite element analysis Finite element method Materials science Mathematical analysis Mechanical and acoustical properties Physical properties of thin films, nonelectronic Physics Polycrystalline material Spreads Statistics Structural materials Surfaces and interfaces; thin films and whiskers (structure and nonelectronic properties) Thin film Thin films |
| Title | Effective modulus of polycrystalline aggregates in different geometrical configurations |
| URI | https://dx.doi.org/10.1016/j.msea.2010.04.054 https://search.proquest.com/docview/787220761 |
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