Nonlinear static bending analysis of microplates resting on imperfect two-parameter elastic foundations using modified couple stress theory
The nonlinear static bending analysis of microplates resting on imperfect Pasternak elastic foundations is carried out in this paper. The finite element method based on the modified couple stress theory is used to derive the nonlinear finite element formulations. The present theory and mathematical...
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| Published in | Comptes rendus. Mecanique Vol. 350; no. G1; pp. 121 - 141 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
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Académie des sciences
01.01.2022
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| Abstract | The nonlinear static bending analysis of microplates resting on imperfect Pasternak elastic foundations is carried out in this paper. The finite element method based on the modified couple stress theory is used to derive the nonlinear finite element formulations. The present theory and mathematical model are validated by comparisons of this work’s results with those of other reputable publications, which show a very good agreement. The influences of length-scale parameter, nonlinearity, elastic foundation parameters, imperfect foundations, and boundary conditions on the nonlinear static bending response of microplates are then explored. The computed data of this study is very intriguing, particularly the interaction of the microplate with the imperfect elastic foundation, and this helps us better understand the mechanical behavior of this structure. |
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| AbstractList | The nonlinear static bending analysis of microplates resting on imperfect Pasternak elastic foundations is carried out in this paper. The finite element method based on the modified couple stress theory is used to derive the nonlinear finite element formulations. The present theory and mathematical model are validated by comparisons of this work’s results with those of other reputable publications, which show a very good agreement. The influences of length-scale parameter, nonlinearity, elastic foundation parameters, imperfect foundations, and boundary conditions on the nonlinear static bending response of microplates are then explored. The computed data of this study is very intriguing, particularly the interaction of the microplate with the imperfect elastic foundation, and this helps us better understand the mechanical behavior of this structure. |
| Author | Minh Thai, Le Thi Huong Huyen, Truong Van Ke, Tran Van Minh, Phung Thai Dung, Nguyen |
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| Cites_doi | 10.14311/610 10.1016/S0022-5096(03)00053-X 10.1016/j.ijengsci.2011.08.013 10.1016/j.ijengsci.2015.08.009 10.1016/j.jmps.2015.02.001 10.1016/j.apm.2014.12.001 10.1137/1037125 10.1007/s13369-018-3240-0 10.1007/s40997-021-00459-9 10.1016/0045-7825(83)90096-8 10.1007/978-3-319-17710-6_6 10.1007/s00419-013-0807-9 10.1016/j.compstruct.2012.07.025 10.1016/j.ijmecsci.2014.05.025 10.1016/j.jmps.2008.09.007 10.1016/j.compstruct.2012.08.023 10.1016/j.cma.2016.10.002 10.1007/s00419-021-02048-3 10.1140/epjp/s13360-020-00098-0 10.1016/j.ijengsci.2007.04.004 10.1016/j.ijmecsci.2012.02.004 10.1155/2020/1471037 10.1016/B978-0-323-31149-6.00022-0 10.1016/j.matdes.2010.08.046 10.1016/j.ijengsci.2014.11.003 10.1016/j.ijmecsci.2012.02.005 10.1016/B978-0-12-813586-0.00002-X 10.1016/j.compositesb.2013.02.021 10.1016/j.compstruct.2014.03.028 10.1080/15376494.2018.1499986 10.1155/2020/8786373 10.1016/j.jsamd.2016.08.005 10.3390/surfaces4020014 10.1142/S0219455420500741 10.1016/B978-0-12-815743-5.00011-1 10.1016/S0020-7683(02)00152-X 10.1016/j.ijmecsci.2019.105306 10.1155/2020/8831366 10.1016/B978-0-08-087872-0.00134-7 10.1016/j.jsv.2011.08.020 10.1016/0956-7151(94)90502-9 10.1007/s40430-021-03189-w 10.1007/s00707-018-2260-x 10.1016/j.euromechsol.2014.07.014 |
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| References | Zhang, B. (key2022051210175359168_33) 2015; 39 Hong, N. T. (key2022051210175359168_48) 2020; 2020 Thai, H.-T. (key2022051210175359168_19) 2013; 95 Asghari, M. (key2022051210175359168_13) 2011; 32 Hao, N. (key2022051210175359168_3) 2019 Tessler, A. (key2022051210175359168_46) 1983; 39 Jung, W.-Y. (key2022051210175359168_31) 2014; 87 Jirásek, M. (key2022051210175359168_11) 2004; 44 Ghayesh, M. H. (key2022051210175359168_28) 2013; 50 Mohammad-Abadi, M. (key2022051210175359168_14) 2015; 87 Bahreman, M. (key2022051210175359168_25) 2019; 230 Thai, L. M. (key2022051210175359168_38) 2022; 92 Fleck, N. A. (key2022051210175359168_6) 1994; 42 Lam, D. C. C. (key2022051210175359168_7) 2003; 51 Reddy, J. N. (key2022051210175359168_9) 2007; 45 Yang, F. (key2022051210175359168_10) 2002; 39 Ma, H. M. (key2022051210175359168_16) 2008; 56 Asghari, M. (key2022051210175359168_29) 2012; 51 Wu, C. (key2022051210175359168_39) 2018; 18 Salamat-talab, M. (key2022051210175359168_17) 2012; 57 Tran, V.-K. (key2022051210175359168_42) 2020; 2020 Sahmani, S. (key2022051210175359168_22) 2013; 95 Li, Y. S. (key2022051210175359168_26) 2015; 97 Wang, Y.-G. (key2022051210175359168_30) 2014; 84 Kandaz, M. (key2022051210175359168_27) 2021; 4 Tsakalakos, L. (key2022051210175359168_2) 2012; 1 Van Phung, M. (key2022051210175359168_45) 2022 Ansari, R. (key2022051210175359168_21) 2015; 49 Li, Q. (key2022051210175359168_35) 2019; 78 Ypma, T. J. (key2022051210175359168_47) 1995; 37 Lazopoulos, A. K. (key2022051210175359168_15) 2012; 58 Bui, T. Q. (key2022051210175359168_44) 2016; 1 Bouderba, B. (key2022051210175359168_37) 2018; 27 Foroutan, K. (key2022051210175359168_32) 2020; 20 Gupta, A. (key2022051210175359168_36) 2018; 43 Neto, M. A. (key2022051210175359168_8) 2015 Li, A. (key2022051210175359168_20) 2014; 113 Nasrollahzadeh, M. (key2022051210175359168_5) 2019; 28 Yang, Y. (key2022051210175359168_34) 2020; 135 Chronakis, I. S. (key2022051210175359168_1) 2015 Cotè, G. L. (key2022051210175359168_4) 2011 Lim, C. W. (key2022051210175359168_12) 2015; 78 Ke, L.-L. (key2022051210175359168_18) 2012; 331 Tho, N. C. (key2022051210175359168_23) 2021; 43 Tran, T. T. (key2022051210175359168_43) 2020; 2020 Nguyen, H. X. (key2022051210175359168_24) 2017; 313 Li, Q. (key2022051210175359168_41) 2020; 177 Sobhy, M. (key2022051210175359168_40) 2020; 27 |
| References_xml | – volume: 44 start-page: 16 year: 2004 ident: key2022051210175359168_11 article-title: Nonlocal theories in continuum mechanics publication-title: Acta Polytech. doi: 10.14311/610 contributor: fullname: Jirásek, M. – volume: 51 start-page: 1477 issue: 8 year: 2003 ident: key2022051210175359168_7 article-title: Experiments and theory in strain gradient elasticity publication-title: J. Mech. Phys. Solids doi: 10.1016/S0022-5096(03)00053-X contributor: fullname: Lam, D. C. C. – volume: 51 start-page: 292 year: 2012 ident: key2022051210175359168_29 article-title: Geometrically nonlinear micro-plate formulation based on the modified couple stress theory publication-title: Int. J. Eng. Sci. doi: 10.1016/j.ijengsci.2011.08.013 contributor: fullname: Asghari, M. – volume: 78 year: 2019 ident: key2022051210175359168_35 article-title: Static bending and free vibration of organic solar cell resting on Winkler–Pasternak elastic foundation through the modified strain gradient theory publication-title: Eur. J. Mech. - A/Solids contributor: fullname: Li, Q. – volume: 97 start-page: 40 year: 2015 ident: key2022051210175359168_26 article-title: Static bending and free vibration of a functionally graded piezoelectric microplate based on the modified couple-stress theory publication-title: Int. J. Eng. Sci. doi: 10.1016/j.ijengsci.2015.08.009 contributor: fullname: Li, Y. S. – volume: 78 start-page: 298 year: 2015 ident: key2022051210175359168_12 article-title: A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation publication-title: J. Mech. Phys. Solids doi: 10.1016/j.jmps.2015.02.001 contributor: fullname: Lim, C. W. – volume: 39 start-page: 3814 issue: 13 year: 2015 ident: key2022051210175359168_33 article-title: An efficient size-dependent plate theory for bending, buckling and free vibration analyses of functionally graded microplates resting on elastic foundation publication-title: Appl. Math. Model. doi: 10.1016/j.apm.2014.12.001 contributor: fullname: Zhang, B. – volume: 37 start-page: 531 issue: 4 year: 1995 ident: key2022051210175359168_47 article-title: Historical development of the Newton–Raphson method publication-title: SIAM Rev. doi: 10.1137/1037125 contributor: fullname: Ypma, T. J. – volume: 43 start-page: 4931 issue: 9 year: 2018 ident: key2022051210175359168_36 article-title: Static and stability characteristics of geometrically imperfect FGM plates resting on pasternak elastic foundation with microstructural defect publication-title: Arab. J. Sci. Eng. doi: 10.1007/s13369-018-3240-0 contributor: fullname: Gupta, A. – year: 2022 ident: key2022051210175359168_45 article-title: Numerical investigation on static bending and free vibration responses of two-layer variable thickness plates with shear connectors publication-title: Iran. J. Sci. Technol. - Trans. Mech. Eng. doi: 10.1007/s40997-021-00459-9 contributor: fullname: Van Phung, M. – volume: 39 start-page: 311 issue: 3 year: 1983 ident: key2022051210175359168_46 article-title: An improved treatment of transverse shear in the mindlin-type four-node quadrilateral element publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/0045-7825(83)90096-8 contributor: fullname: Tessler, A. – start-page: 195 year: 2015 ident: key2022051210175359168_8 publication-title: Finite Element Method for Plates/Shells BT — Engineering Computation of Structures: The Finite Element Method doi: 10.1007/978-3-319-17710-6_6 contributor: fullname: Neto, M. A. – volume: 84 start-page: 391 issue: 3 year: 2014 ident: key2022051210175359168_30 article-title: Nonlinear bending of size-dependent circular microplates based on the modified couple stress theory publication-title: Arch. Appl. Mech. doi: 10.1007/s00419-013-0807-9 contributor: fullname: Wang, Y.-G. – volume: 95 start-page: 430 year: 2013 ident: key2022051210175359168_22 article-title: On the free vibration response of functionally graded higher-order shear deformable microplates based on the strain gradient elasticity theory publication-title: Compos. Struct. doi: 10.1016/j.compstruct.2012.07.025 contributor: fullname: Sahmani, S. – volume: 87 start-page: 150 year: 2014 ident: key2022051210175359168_31 article-title: Bending and vibration analysis of S-FGM microplates embedded in Pasternak elastic medium using the modified couple stress theory publication-title: Int. J. Mech. Sci. doi: 10.1016/j.ijmecsci.2014.05.025 contributor: fullname: Jung, W.-Y. – volume: 56 start-page: 3379 issue: 12 year: 2008 ident: key2022051210175359168_16 article-title: A microstructure-dependent Timoshenko beam model based on a modified couple stress theory publication-title: J. Mech. Phys. Solids doi: 10.1016/j.jmps.2008.09.007 contributor: fullname: Ma, H. M. – volume: 95 start-page: 142 year: 2013 ident: key2022051210175359168_19 article-title: Size-dependent functionally graded Kirchhoff and Mindlin plate models based on a modified couple stress theory publication-title: Compos. Struct. doi: 10.1016/j.compstruct.2012.08.023 contributor: fullname: Thai, H.-T. – volume: 313 start-page: 904 year: 2017 ident: key2022051210175359168_24 article-title: A refined quasi-3D isogeometric analysis for functionally graded microplates based on the modified couple stress theory publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/j.cma.2016.10.002 contributor: fullname: Nguyen, H. X. – volume: 92 start-page: 163 issue: 1 year: 2022 ident: key2022051210175359168_38 article-title: Finite element modeling of mechanical behaviors of piezoelectric nanoplates with flexoelectric effects publication-title: Arch. Appl. Mech. doi: 10.1007/s00419-021-02048-3 contributor: fullname: Thai, L. M. – volume: 135 issue: 1 year: 2020 ident: key2022051210175359168_34 article-title: Buckling of piezoelectric sandwich microplates with arbitrary in-plane BCs rested on foundation: effect of hygro-thermo-electro-elastic field publication-title: Eur. Phys. J. Plus doi: 10.1140/epjp/s13360-020-00098-0 contributor: fullname: Yang, Y. – volume: 45 start-page: 288 issue: 2 year: 2007 ident: key2022051210175359168_9 article-title: Nonlocal theories for bending, buckling and vibration of beams publication-title: Int. J. Eng. Sci. doi: 10.1016/j.ijengsci.2007.04.004 contributor: fullname: Reddy, J. N. – volume: 57 start-page: 63 issue: 1 year: 2012 ident: key2022051210175359168_17 article-title: Static and dynamic analysis of third-order shear deformation FG micro beam based on modified couple stress theory publication-title: Int. J. Mech. Sci. doi: 10.1016/j.ijmecsci.2012.02.004 contributor: fullname: Salamat-talab, M. – volume: 2020 year: 2020 ident: key2022051210175359168_43 article-title: Forced vibration analysis of laminated composite shells reinforced with graphene nanoplatelets using finite element method publication-title: Adv. Civ. Eng. doi: 10.1155/2020/1471037 contributor: fullname: Tran, T. T. – start-page: 513 year: 2015 ident: key2022051210175359168_1 article-title: Micro- and nano-fibers by electrospinning technology: processing, properties, and applications publication-title: Micromanufacturing Engineering and Technology doi: 10.1016/B978-0-323-31149-6.00022-0 contributor: fullname: Chronakis, I. S. – volume: 32 start-page: 1435 issue: 3 year: 2011 ident: key2022051210175359168_13 article-title: The modified couple stress functionally graded Timoshenko beam formulation publication-title: Mater. Des. doi: 10.1016/j.matdes.2010.08.046 contributor: fullname: Asghari, M. – volume: 87 start-page: 83 year: 2015 ident: key2022051210175359168_14 article-title: Modified couple stress theory applied to dynamic analysis of composite laminated beams by considering different beam theories publication-title: Int. J. Eng. Sci. doi: 10.1016/j.ijengsci.2014.11.003 contributor: fullname: Mohammad-Abadi, M. – volume: 58 start-page: 27 issue: 1 year: 2012 ident: key2022051210175359168_15 article-title: Dynamic response of thin strain gradient elastic beams publication-title: Int. J. Mech. Sci. doi: 10.1016/j.ijmecsci.2012.02.005 contributor: fullname: Lazopoulos, A. K. – volume: 28 start-page: 29 year: 2019 ident: key2022051210175359168_5 article-title: Types of nanostructures publication-title: Interface Sci. Technol. doi: 10.1016/B978-0-12-813586-0.00002-X contributor: fullname: Nasrollahzadeh, M. – volume: 50 start-page: 318 year: 2013 ident: key2022051210175359168_28 article-title: Nonlinear dynamics of a microscale beam based on the modified couple stress theory publication-title: Compos. B: Eng. doi: 10.1016/j.compositesb.2013.02.021 contributor: fullname: Ghayesh, M. H. – volume: 113 start-page: 272 issue: 1 year: 2014 ident: key2022051210175359168_20 article-title: A size-dependent model for bi-layered Kirchhoff micro-plate based on strain gradient elasticity theory publication-title: Compos. Struct. doi: 10.1016/j.compstruct.2014.03.028 contributor: fullname: Li, A. – volume: 27 start-page: 816 issue: 10 year: 2020 ident: key2022051210175359168_40 article-title: A comprehensive study on the size-dependent hygrothermal analysis of exponentially graded microplates on elastic foundations publication-title: Mech. Adv. Mater. Struct. doi: 10.1080/15376494.2018.1499986 contributor: fullname: Sobhy, M. – volume: 2020 year: 2020 ident: key2022051210175359168_42 article-title: A finite element formulation and nonlocal theory for the static and free vibration analysis of the sandwich functionally graded nanoplates resting on elastic foundation publication-title: J. Nanomater. doi: 10.1155/2020/8786373 contributor: fullname: Tran, V.-K. – volume: 1 start-page: 400 issue: 3 year: 2016 ident: key2022051210175359168_44 article-title: High frequency modes meshfree analysis of Reissner–Mindlin plates publication-title: J. Sci. Adv. Mater. Devices doi: 10.1016/j.jsamd.2016.08.005 contributor: fullname: Bui, T. Q. – volume: 4 start-page: 115 issue: 2 year: 2021 ident: key2022051210175359168_27 article-title: Finite element analyses of the modified strain gradient theory based Kirchhoff microplates publication-title: Surfaces doi: 10.3390/surfaces4020014 contributor: fullname: Kandaz, M. – volume: 20 issue: 7 year: 2020 ident: key2022051210175359168_32 article-title: Nonlinear static and dynamic buckling analyses of imperfect fgp cylindrical shells resting on nonlinear elastic foundation under axial compression publication-title: Int. J. Struct. Stab. Dyn. doi: 10.1142/S0219455420500741 contributor: fullname: Foroutan, K. – volume: 27 start-page: 311 issue: 3 year: 2018 ident: key2022051210175359168_37 article-title: Bending of FGM rectangular plates resting on non-uniform elastic foundations in thermal environment using an accurate theory publication-title: Steel Compos. Struct. contributor: fullname: Bouderba, B. – start-page: 279 year: 2019 ident: key2022051210175359168_3 article-title: New micro- and nanotechnologies for electrochemical biosensor development publication-title: Advanced Biosensors for Health Care Applications doi: 10.1016/B978-0-12-815743-5.00011-1 contributor: fullname: Hao, N. – volume: 39 start-page: 2731 issue: 10 year: 2002 ident: key2022051210175359168_10 article-title: Couple stress based strain gradient theory for elasticity publication-title: Int. J. Solids Struct. doi: 10.1016/S0020-7683(02)00152-X contributor: fullname: Yang, F. – volume: 177 year: 2020 ident: key2022051210175359168_41 article-title: Size-dependent instability of organic solar cell resting on Winkler–Pasternak elastic foundation based on the modified strain gradient theory publication-title: Int. J. Mech. Sci. doi: 10.1016/j.ijmecsci.2019.105306 contributor: fullname: Li, Q. – volume: 2020 year: 2020 ident: key2022051210175359168_48 article-title: Nonlinear static bending and free vibration analysis of bidirectional functionally graded material plates publication-title: Int. J. Aerosp. Eng. doi: 10.1155/2020/8831366 contributor: fullname: Hong, N. T. – volume: 1 start-page: 515 year: 2012 ident: key2022051210175359168_2 article-title: Application of micro- and nanotechnology in photovoltaics publication-title: Compr. Renew. Energy doi: 10.1016/B978-0-08-087872-0.00134-7 contributor: fullname: Tsakalakos, L. – volume: 331 start-page: 94 issue: 1 year: 2012 ident: key2022051210175359168_18 article-title: Free vibration of size-dependent Mindlin microplates based on the modified couple stress theory publication-title: J. Sound Vib. doi: 10.1016/j.jsv.2011.08.020 contributor: fullname: Ke, L.-L. – start-page: 1111 year: 2011 ident: key2022051210175359168_4 article-title: Biomedical optics and lasers publication-title: Introduction to Biomedical Engineering contributor: fullname: Cotè, G. L. – volume: 42 start-page: 475 issue: 2 year: 1994 ident: key2022051210175359168_6 article-title: Strain gradient plasticity: Theory and experiment publication-title: Acta Metall. Mater. doi: 10.1016/0956-7151(94)90502-9 contributor: fullname: Fleck, N. A. – volume: 43 issue: 11 year: 2021 ident: key2022051210175359168_23 article-title: Modelling of the flexoelectric effect on rotating nanobeams with geometrical imperfection publication-title: J. Braz. Soc. Mech. Sci. Eng. doi: 10.1007/s40430-021-03189-w contributor: fullname: Tho, N. C. – volume: 230 start-page: 49 issue: 1 year: 2019 ident: key2022051210175359168_25 article-title: The size-dependent analysis of microplates via a newly developed shear deformation theory publication-title: Acta Mech. doi: 10.1007/s00707-018-2260-x contributor: fullname: Bahreman, M. – volume: 49 start-page: 251 year: 2015 ident: key2022051210175359168_21 article-title: Bending, buckling and free vibration analysis of size-dependent functionally graded circular/annular microplates based on the modified strain gradient elasticity theory publication-title: Eur. J. Mech. A/Solids doi: 10.1016/j.euromechsol.2014.07.014 contributor: fullname: Ansari, R. – volume: 18 issue: 09 year: 2018 ident: key2022051210175359168_39 article-title: Buckling and post-buckling of symmetric functionally graded microplate lying on nonlinear elastic foundation based on modified couple stress theory publication-title: Int. J. Struct. Stab. Dyn. contributor: fullname: Wu, C. |
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| SubjectTerms | Imperfect elastic foundations Microplates Modified couple stress Nonlinearity Static bending |
| Title | Nonlinear static bending analysis of microplates resting on imperfect two-parameter elastic foundations using modified couple stress theory |
| URI | https://doaj.org/article/c1be84da650e486cae090a8ad7fbbc9a |
| Volume | 350 |
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