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国际多尺度计算工程期刊

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ISSN 打印: 1543-1649

ISSN 在线: 1940-4352

The Impact Factor measures the average number of citations received in a particular year by papers published in the journal during the two preceding years. 2017 Journal Citation Reports (Clarivate Analytics, 2018) IF: 1.4 To calculate the five year Impact Factor, citations are counted in 2017 to the previous five years and divided by the source items published in the previous five years. 2017 Journal Citation Reports (Clarivate Analytics, 2018) 5-Year IF: 1.3 The Immediacy Index is the average number of times an article is cited in the year it is published. The journal Immediacy Index indicates how quickly articles in a journal are cited. Immediacy Index: 2.2 The Eigenfactor score, developed by Jevin West and Carl Bergstrom at the University of Washington, is a rating of the total importance of a scientific journal. Journals are rated according to the number of incoming citations, with citations from highly ranked journals weighted to make a larger contribution to the eigenfactor than those from poorly ranked journals. Eigenfactor: 0.00034 The Journal Citation Indicator (JCI) is a single measurement of the field-normalized citation impact of journals in the Web of Science Core Collection across disciplines. The key words here are that the metric is normalized and cross-disciplinary. JCI: 0.46 SJR: 0.333 SNIP: 0.606 CiteScore™:: 3.1 H-Index: 31

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A SIMPLIFIED COMPUTATIONAL MODEL FOR MICROPLATES BASED ON A MODIFIED COUPLE STRESS THEORY

卷 17, 册 5, 2019, pp. 483-505
DOI: 10.1615/IntJMultCompEng.2019030572
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摘要

A novel simplified computational model (SCM) is developed for couple stress microplates by using a third-order deformation plate theory and by assuming the rotation about the z-axis is zero in the modified couple stress theory. Analytical solutions are obtained for bending, free vibration, and buckling behaviors of couple stress microplates. Using the present model, a three-node triangular plate element is constructed, in which each node has only seven degrees of freedom. Numerical results of the SCM are compared with those calculated using the complete model (CM) and the original simplified model (SM) available in the literature. The results reveal that the present SCM shows a significant improvement in computational efficiency, while maintaining minimum loss in accuracy, compared with the CM. The computing time used in the CM is 2 −5.7 times that used in the SCM.

参考文献
  1. Plates, J. Sound Vib., vol. 326, no. 1, pp. 277-289,2009.

  2. Ansari, R., Shojaei, M.F., Mohammadi, V., Bazdid-Vahdati, M., and Rouhi, H., Triangular Mindlin Microplate Element, Comput. Method. Appl. Mech, vol. 295, pp. 56-76,2015a.

  3. Ansari, R., Shojaei, M.F., and Shahabodini, A., Three-Dimensional Bending and Vibration Analysis of Functionally Graded Nanoplatesby a Novel Differential Quadrature-Based Approach, Compos. Struct., vol. 131, pp. 753-764,2015b.

  4. Attia, M.A. and Mahmoud, F.F., Size-Dependent Behavior of Viscoelastic Nanoplates Incorporating Surface Energy and Microstructure Effects, Int. J. Mech. Sci., vol. 123, pp. 117-132,2017.

  5. Bazeley, G.P., Cheung, Y.K., Irons, B.M., and Zienkiewicz, O.C., Triangular Elements in Plate Bending-Conforming and Non-Conforming Solutions, Proc. of the Conf. on Matrix Methods in Structural Mechanics, Air Force Inst. Technol, Wright-Patterson Air Force Base, OH, pp. 547-576,1965.

  6. Chen, W.J., Ma, X., and Li, L., A Model of Composite Laminated Reddy Plate based on New Modified Couple Stress Theory, Compos. Struct, vol. 94, no. 7, pp. 2143-2156,2012.

  7. Chen, W.J., Niu, H., and Yang, S.Q., Buckling Analysis of Laminated Composite Mindlin Plate Model based on New Modified Couple-Stress Theory and Finite Element Method, Int. J. Multiscale Comput. Eng., vol. 14, no. 2, pp. 149-171,2016.

  8. Cheung, Y.K. and Chen, W.J., Refined Nine-Parameter Triangular Thin Plate Bending Element by Using Refined Direct Stiffness Method, Int. J. Numer. Methods Eng., vol. 38, no. 2, pp. 283-298,1995.

  9. Eringen, A.C. and Edelen, D.G.B., On Nonlocal Elasticity, Int. J. Eng. Sci, vol. 10, no. 3, pp. 233-248,1972.

  10. Eringen, A.C., On Differential Equations of Nonlocal Elasticity and Solutions of Screw Dislocation and Surface Waves, J. Appl. Phys, vol. 54, no. 9, pp. 4703-4710,1983.

  11. Farzam, A. and Hassani, B., Isogeometric Analysis of in-Plane Functionally Graded Porous Microplates Using Modified Couple Stress Theory, Aerosp. Sci. Technol, vol. 91, pp. 508-524,2019.

  12. Filonova, V. and Fish, J., Computational Continua for Thick Elastic Layered Structures, Int. J. Multiscale Comput. Eng., vol. 14, no. 5, pp. 439-454,2016.

  13. Fish, J. and Kuznetsov, S., Computational Continua, Int. J. Numer. Methods Eng., vol. 84, no. 7, pp. 774-802,2010.

  14. Gao, X.L., Huang, J.X., and Reddy, J.N., A Non-Classical Third-Order Shear Deformation Plate Model based on a Modified Couple Stress Theory, Acta Mech, vol. 224, no. 11, pp. 2699-2718,2013.

  15. Gholami, R. and Ansari, R., A Most General Strain Gradient Plate Formulation for Size-Dependent Geometrically Nonlinear Free Vibration Analysis of Functionally Graded Shear Deformable Rectangular Microplates, Nonlinear Dyn, vol. 84, no. 4, pp. 2403-2422,2016.

  16. Gholami, R. and Ansari, R., Imperfection Sensitivity of Post-Buckling Behavior and Vibration Response in Pre- and Post-Buckled Regions ofNanoscale Plates Considering Surface Effects, Int. J. Appl. Mech., vol. 10, no. 3, p. 1850027,2018.

  17. Gurtin, M.E., Weissmiiller, J., and Larche, F., A General Theory of Curved Deformable Interfaces in Solids at Equilibrium, Philos. Mag. A, vol. 78, no. 5, pp. 1093-1109,1998.

  18. Jomehzadeh, E., Noori, H.R., and Saidi, A.R., The Size-Dependent Vibration Analysis of Micro-Plates based on a Modified Couple Stress Theory, Physica E, vol. 43, no. 4, pp. 877-883,2011.

  19. Ke, L.L., Wang, Y.S., Yang, J., and Kitipornchai, S., Free Vibration of Size-Dependent Mindlin Microplates based on the Modified Couple Stress Theory, J. Sound Vib, vol. 331, no. 1, pp. 94-106,2012.

  20. Kim, J. and Reddy, J.N., A General Third-Order Theory of Functionally Graded Plates with Modified Couple Stress Effect and the VonKarmanNonlinearity: Theory and Finite Element Analysis, Acta Mech., vol. 226, no. 9, pp. 1-26,2015.

  21. Koiter, W.T., Couple-Stresses in the Theory of Elasticity I and II, Proc. of the Koninklijke Nederlandse Akademie van Wetenschappen, vol. 67, pp. 17-44,1964.

  22. Lam, D.C.C., Yang, F., Chong, A.C.M., Wang, J., and Tong, P., Experiments and Theory in Strain Gradient Elasticity, J. Mech. Phys. Solids, vol. 51, no. 8, pp. 1477-1508,2003.

  23. Liu, S., Yu, T., and Bui, T.Q., Size Effects of Functionally Graded Moderately Thick Microplates: A Novel Non-Classical Simple-FSDT Isogeometric Analysis, Eur. J. Mech., A: Solids, vol. 66, pp. 446-458,2017.

  24. Lyshevski, S.E., MEMS andNEMS: Systems, Devices, and Structures, Boca Raton, FL: CRC Press, pp. 25-32,2018.

  25. Ma, H.M., Gao, X.L., and Reddy, J.N., A Non-Classical Mindlin Plate Model based on a Modified Couple Stress Theory, Acta Mech., vol. 220, nos. 1-4, pp. 217-235,2011.

  26. Mindlin, R.D., Influence of Rotatory Inertia and Shear on Flexural Motions of Isotropic, Elastic Plates, J. Appl. Mech, vol. 18, pp. 31-38,1951.

  27. Mindlin, R.D., Influence of Couple-Stresses on Stress Concentrations, Exp. Mech., vol. 3, pp. 1-7,1963.

  28. Rebeiz, G.M., RFMEMS: Theory, Design, and Technology, New York: John Wiley & Sons, pp. 5-13,2004.

  29. Reddy, J.N., A Simple Higher-Order Theory for Laminated Composite Plates, J. Appl. Mech., vol. 51, pp. 745-752,1984.

  30. Roque, C.M.C., Ferreira, A.J.M., and Reddy, J.N., Analysis of Mindlin Micro Plates with a Modified Couple Stress Theory and a Meshless Method, Appl. Math. Model., vol. 37, no. 7, pp. 4626-4633,2013.

  31. Simsek, M., Aydin, M., Yurtcu, H.H., and Reddy, J.N., Size-Dependent Vibration of a Microplate under the Action of a Moving Load based on the Modified Couple Stress Theory, Acta Mech., vol. 226, no. 11, pp. 1-16,2015.

  32. Taati, E., Analytical Solutions for the Size Dependent Buckling and Postbuckling Behavior of Functionally Graded Micro-Plates, Int. J. Eng. Sci., vol. 100, pp. 45-60,2016.

  33. Tahani, M., Askari, A.R., Mohandes, Y., and Hassani, B., Size-Dependent Free Vibration Analysis of Electrostatically Pre-Deformed Rectangular Micro-Plates based on the Modified Couple Stress Theory, Int. J. Mech. Sci., vol. 94, pp. 185-198, 2015.

  34. Tai, Y.C. and Wright, J.A., Micro-Electromechanical Relays, US Patent 6,094,116, filed August 1, 1996, and issued July 25,2000.

  35. Thai, H.T. and Choi, D.H., Size-Dependent Functionally Graded Kirchhoff and Mindlin Plate Models based on a Modified Couple Stress Theory, Compos. Struct., vol. 95, pp. 142-153,2013.

  36. Thai, H.T. and Kim, S., A Size-Dependent Functionally Graded Reddy Plate Model based on a Modified Couple Stress Theory, Compos. Struct., vol. 96, pp. 376-383,2013.

  37. Thai, C.H., Ferreira, A.J.M., Lee, J., and Nguyen-Xuan, H., An Efficient Size-Dependent Computational Approach for Functionally Graded Isotropic and Sandwich Microplates based on Modified Couple Stress Theory and Moving Kriging-Based Meshfree Method, Int. J Mech. Sci., vol. 142, pp. 322-338,2018.

  38. Torabi, J., Ansari, R., and Darvizeh, M., A C1 Continuous Hexahedral Element for Nonlinear Vibration Analysis of Nano-Plates with Circular Cutout based on 3D Strain Gradient Theory, Compos. Struct., vol. 205, pp. 69-85,2018.

  39. Tsiatas, G.C., A New Kirchhoff Plate Model based on a Modified Couple Stress Theory, Int. J. Solids Struct., vol. 46, no. 13, pp. 2757-2764,2009.

  40. Verotti, M., Dochshanov, A., and Belfiore, N.P., A Comprehensive Survey on Microgrippers Design: Mechanical Structure, J. Mech. Des., vol. 139, p. 060801,2017.

  41. Yang, S.Q. and Chen, W. J., On Hypotheses of Composite Laminated Plates based on New Modified Couple Stress Theory, Compos. Struct., vol. 133, pp. 46-53,2015.

  42. Yang, W.L. and He, D., Bending, Free Vibration and Buckling Analyses of Anisotropic Layered Micro-Plates based on a New Size-Dependent Model, Compos. Struct., vol. 189, pp. 137-147,2018.

  43. Yang, S.Q. and Liu, S.T., Free Vibration Property Analysis of Composite Laminated Microplates based on Different Hypotheses in Couple Stress Constitutive Equations, Int. J. Multiscale Comput. Eng., vol. 16, no. 2, pp. 163-186,2018.

  44. Yang, F., Chong, A.M., Lam, D.C.C., and Tong, P., Couple-Stress based Strain-Gradient Theory for Elasticity, Int. J. Solids Struct., vol. 39, pp. 2731-2743,2002.

  45. Yang, S.Q., Chen, W. J., and Li, X.P., A Study of Scale Effect of Composite Laminated Plates based on New Modified Couple Stress Theory by Finite Element Method, Int. J. Multiscale Comput. Eng., vol. 12, no. 6, pp. 507-527,2014.

  46. Zhang, B., He, Y.M., Liu, D.B., Gan, Z.P., and Shen, L., A Non-Classical Mindlin Plate Finite Element based on a Modified Couple Stress Theory, Eur. J. Mech, A: Solids, vol. 42, pp. 63-80,2013.

  47. Zhang, G.Y., Gao, X.L., and Guo, Z.Y., A Non-Classical Model for an Orthotopic Kirchhoff Plate Embedded in a Viscoelastic Medium, Acta Mech, vol. 228, no. 11, pp. 1-15,2017.

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