1 |
Bao, G. and Wang, L. (1995), "Multiple cracking in functionally graded ceramic/metal coatings", Int. J. Solids Struct., 32, 2853-2871.
DOI
|
2 |
Reddy, J.N. (2004), Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, (2nd Ed.), CRC Press, Boca Raton, FL, USA.
|
3 |
Sahmani, S. and Ansari, R. (2013), "On the free vibration response of functionally graded higher-order shear deformable microplates based on the strain gradient elasticity theory", Compos. Struct., 95, 430-442.
DOI
|
4 |
Sahmani, S., Ansari, R., Gholami, R. and Darvizeh, A. (2013), "Dynamic stability analysis of functionally graded higher-order shear deformable microshells based on the modified couple stress elasticity theory", Compos.: Part B, 51, 44-53.
DOI
|
5 |
Salehipour, H., Nahvi, H. and Shahidi, A.R. (2015), "Exact closed-form free vibration analysis for functionally graded micro/nano plates based on modified couple stress and three-dimensional elasticity theories", Compos. Struct., 124, 283-291.
DOI
|
6 |
Shen, H.S. and Wang, Z.X. (2012), "Assessment of Voigt and Mori-Tanaka models for vibration analysis of functionally graded plates", Compos. Struct., 94(7), 2197-2208.
DOI
|
7 |
Simsek, M. and Reddy, J.N. (2013), "Bending and vibration of functionally graded microbeams using a new higher order beam theory and the modified couple stress theory", Int. J. Eng. Sci., 64, 37-53.
DOI
|
8 |
Stolken, J.S. and Evans, A.G. (1998), "Microbend test method for measuring the plasticity length scale", Acta Metallurgica Et Materialia, 46(14), 5109-5115.
DOI
|
9 |
Thai, H.T. and Choi, D.H. (2013), "Size-dependent functionally graded Kirchhoff and Mindlin plate models based on a modified couple stress theory", Compos. Struct., 95, 142-153.
DOI
|
10 |
Thai, H.T. and Kim, S.E. (2015), "A review of theories for the modeling and analysis of functionally graded plates and shells", Compos. Struct., 128, 70-86.
DOI
|
11 |
Fu, Y. and Zhang, J. (2010), "Modeling and analysis of microtubules based on a modified couple stress theory", Phys. E: Low-Dimens. Syst. Nanostruct., 42(5), 1741-1745.
DOI
|
12 |
Fares, M.E., Elmarghany, M.Kh. and Atta, D. (2009), "An efficient and simple refined theory for bending and vibration of functionally graded plates", Compos. Struct., 91(3), 296-305.
DOI
|
13 |
Feldman, E. and Aboudi, J. (1997), "Buckling analysis of functionally graded plates subjected to uniaxial loading", Compos. Struct., 38(1), 29-36.
DOI
|
14 |
Fleck, N.A., Muller, G.M., Ashby, M.F. and Hutchinson, J.W. (1994), "Strain gradient plasticity: Theory and experiment", Acta Metallurgica Et Materialia, 42(2), 475-487.
DOI
|
15 |
Han, S.C., Lomboy, G.R. and Kim, K.D. (2008), "Mechanical vibration and buckling analysis of FGM plates and shells using a four-node quasi-conforming shell element", Int. J. Struct. Stab. Dyn., 8(2), 203-229.
DOI
|
16 |
Jung, W.Y., Park, W.T. and Han, S.C. (2014), "Bending and vibration analysis of S-FGM microplates embedded in Pasternak elastic medium using the modified couple stress theory", Int. J. Mech. Sci., 87, 150-162.
DOI
|
17 |
Jin, Z.H. and Paulino, G.H. (2001), "Transient thermal stress analysis of an edge crack in a functionally graded material", Int. J. Fracture, 107(1), 73-98.
DOI
|
18 |
Jung, W.Y. and Han, S.C. (2014), "Transient analysis of FGM and laminated composite structures using a refined 8-node ANS shell element", Compos. Part B, 56, 372-383.
DOI
|
19 |
Jung, W.Y. and Han, S.C. (2015), "Static and eigenvalue problems of Sigmoid Functionally Graded Materials (S-FGM) micro-scale plates using the modified couple stress theory", Appl. Math. Model., 39(12), 3506-3524.
DOI
|
20 |
Kahrobaiyan, M.H., Rahaeifard, M., Tajalli, S.A. and Ahmadian, M.T. (2012), "A strain gradient functionally graded Euler-Bernoulli beam formulation", Int. J. Eng. Sci., 52, 65-76.
DOI
|
21 |
Ke, L.L. and Wang, Y.S. (2011), "Flow-induced vibration and instability of embedded double walled carbon nanotubes based on a modified couple stress theory", Phys. E: Low-Dimens. Syst. Nanostruct., 43(5), 1031-1039.
DOI
|
22 |
Javaheri, R. and Eslami, M.R. (2002), "Thermal buckling of functionally graded plates based on higher order theory", J. Therm. Stress., 25(7), 603-625.
DOI
|
23 |
Han, S.C., Lee, W.H. and Park, W.T. (2009), "Non-linear analysis of laminated composite and sigmoid functionally graded anisotropic structures using a higher-order shear deformable natural Lagrangian shell element", Compos. Struct., 89(1), 8-19.
DOI
|
24 |
Han, S.C., Park, W.T. and Jung, W.Y. (2016), "3D graphical dynamic responses of FGM plates on Pasternak elastic foundation based on quasi-3D shear and normal deformation theory", Compos. Part B, 95, 324-334.
DOI
|
25 |
Hirano, T. and Yamada, T. (1988), "Multi-paradigm expert system architecture based upon the inverse design concept", International Workshop on Artificial Intelligence for Industrial Applications, Hitachi, Japan.
|
26 |
Akgoz, B. and Civalek, O. (2015a), "A microstructure-dependent sinusoidal plate model based on the strain gradient elasticity theory", Acta Mechanica, 226(7), 2277-2294.
DOI
|
27 |
Ke, L.L., Wang, Y.S. and Wang, Z.D. (2011), "Thermal effect on free vibration and buckling of sizedependent microbeams", Phys. E: Low-Dimens. Syst. Nanostruct., 43(7), 1387-1393.
DOI
|
28 |
Ke, L.L., Wang, Y.S., Yang, J. and Kitipornchai, S. (2012), "Free vibration of size-dependent Mindlin microplates based on the modified couple stress theory", J. Sound Vib., 331(1), 94-106.
DOI
|
29 |
Lam, D.C.C., Yang, F., Chong, A.C.M., Wang, J. and Tong, P. (2003), "Experiments and theory in strain gradient elasticity", J. Mech. Phys. Solids, 51(8), 1477-1508.
DOI
|
30 |
Ait Yahia, S., Ait Atmane, H., Houari, M.S.A. and Tounsi, A. (2015), "Wave propagation in functionally graded plates with porosities using various higher-order shear deformation plate theories", Struct. Eng. Mech., Int. J., 53(6), 1143-1165.
DOI
|
31 |
Akgoz, B. and Civalek, O. (2015b), "A novel microstructure-dependent shear deformable beam model", Int. J. Mech. Sci., 99, 10-20.
DOI
|
32 |
Asghari, M. (2012), "Geometrically nonlinear micro-plate formulation based on the modified couple stress theory", Int. J. Eng. Sci., 51, 292-309.
DOI
|
33 |
Al-Basyouni, K.S., Tounsi, A. and Mahmoud, S.R. (2015), "Size dependent bending and vibration analysis of functionally graded micro beams based on modified couple stress theory and neutral surface position", Compos. Struct., 125, 621-630.
DOI
|
34 |
Ansari, R., Gholami, R. and Sahmani, S. (2011), "Free vibration analysis of size-dependent functionally graded microbeams based on a strain gradient Timoshenko beam theory", Compos. Struct., 94(1), 221-228.
DOI
|
35 |
Ansari, R., Faghih Shojaei, M., Mohammadi, V., Gholami, R. and Darabi, M.A. (2014), "Nonlinear vibrations of functionally graded Mindlin microplates based on the modified couple stress theory", Compos. Struct., 114, 124-134.
DOI
|
36 |
Asghari, M. and Taati, E. (2013), "A size-dependent model for functionally graded microplates for mechanical analyses", J. Vib. Control, 19(11), 1614-1632.
DOI
|
37 |
Yang, F., Chong, A.C.M., Lam, D.C.C. and Tong, P. (2002), "Couple stress based strain gradient theory of elasticity", Int. J. Solids Struct., 39(10), 2731-2743.
DOI
|
38 |
Thai, H.T., Vo, T.P., Nguyen, T.K. and Lee, J. (2015), "Size-dependent behavior of functionally graded sandwich microbeams based on the modified couple stress theory", Compos. Struct., 123, 337-349.
DOI
|
39 |
Tsiatas, G.C. (2009), "A new Kirchhoff plate model based on a modified couple stress theory", Int. J. Solids Struct., 46(13), 2757-2764.
DOI
|
40 |
Winkler, E. (1867), Theory of Elasticity and Strength, Dominicus, Prague, Czech Republic.
|
41 |
Matsunaga, H. (2008), "Free vibration and stability of functionally graded plates according to a 2-D higherorder deformation theory", Compos. Struct., 82(4), 499-512.
DOI
|
42 |
Lee, W.H., Han, S.C. and Park, W.T. (2015), "A study of dynamic instability for sigmoid functionally graded material plates on elastic foundation", J. Computat. Struct. Eng. Inst. Korea, 28(1), 85-92. [In Korean]
DOI
|
43 |
Ma, H.M., Gao, X.L. and Reddy, J.N. (2008), "A microstructure-dependent Timoshenko beam model based on a modified couple stress theory", J. Mech. Phys. Solids, 56(12), 3379-3391.
DOI
|
44 |
Ma, H.M., Gao, X.L. and Reddy, J.N. (2011), "A non-classical Mindlin plate model based on a modified couple stress theory", Acta Mech., 220(1-4), 217-235.
DOI
|
45 |
Malekzadeh, P. and Shojaee, M. (2013), "Free vibration of nanoplates based on a nonlocal two-variable refined plate theory", Compos. Struct., 95, 443-452.
DOI
|
46 |
Mantari, J.L., Oktem, A.S. and Guedes Soares, C. (2011), "Static and dynamic analysis of laminated composite and sandwich plates and shells by using a new higher-order shear deformation theory", Compos. Struct., 94(1), 37-49.
DOI
|
47 |
Mindlin, R.D. (1964), "Microstructure in linear elasticity", Arch Rational Mech. Anal., 16(1), 51-78.
DOI
|
48 |
Nedri, K., El Meiche, N. and Tounsi, A. (2014), "Free vibration analysis of laminated composite plates resting on elastic foundations by using a refined hyperbolic shear deformation theory", Mech. Compos. Mater., 49(6), 641-650.
DOI
|
49 |
Pasternak, P.L. (1954), On a New Method of Analysis of an Elastic Foundation by Means of Two Foundation Constants, Gos. Izd. Lip. po Strait i Arkh. [In Russian]
|
50 |
Praveen, G.N. and Reddy, J.N. (1998), "Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates", Int. J. Solid. Struct., 35(33), 4457-4476.
DOI
|
51 |
Bourada, M., Kaci, A., Houari, M.S.A. and Tounsi, A. (2015), "A new simple shear and normal deformations theory for functionally graded beams", Steel Compos. Struct., Int. J., 18(2), 409-423.
DOI
|
52 |
Belabed, Z., Houari, M.S.A., Tounsi, A., Mahmoud, S.R. and Anwar Beg, O. (2014), "An efficient and simple higher order shear and normal deformation theory for functionally graded material (FGM) plates", Composites: Part B, 60, 274-283.
DOI
|
53 |
Bolotin, V.V. (1964), The Dynamic Stability of Elastic Systems, Holden-Day, San Francisco, CA, USA.
|
54 |
Bouderba, B., Houari, M.S.A. and Tounsi, A. (2013), "Thermomechanical bending response of FGM thick plates resting on Winkler-Pasternak elastic foundations", Steel Compos. Struct., Int. J., 14(1), 85-104.
DOI
|
55 |
Chi, S.H. and Chung, Y.L. (2002), "Cracking in sigmoid functionally graded coating", J. Mech., 18, 41-53.
|
56 |
Chong, A.C.M. and Lam, D.C.C. (1999), "Strain gradient plasticity effect in indentation hardness of polymers", J. Mater. Res., 14(10), 4103-4110.
DOI
|
57 |
Chung, Y.L. and Chi, S.H. (2001), "The residual stress of functionally graded materials", J. Chinese Inst. Civil Hydraul. Eng., 13, 1-9.
|
58 |
Delale, F. and Erdogan, F. (1983), "The crack problem for a nonhomogeneous plane", ASME J. Appl. Mech., 50(3), 609-614.
DOI
|
59 |
Dey, P. and Singha, M.K. (2006), "Dynamic stability analysis of composite skew plates subjected to periodic in-plane load", Thin-Wall. Struct., 44(9), 937-942.
DOI
|
60 |
Erdogan, F. and Chen, Y.F. (1998), Interfacial Cracking of FGM/Metal Bonds, (K. Kokini Ed.), Ceramic Coating.
|