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gradient elasticity theory. Int. J. Eng. Sci. 70, 1–14 (2013)
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sinusoidal microbeams based on the strain gradient elasticity theory. Int. J. Eng. Sci. 72, 36–52
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451. Akgoz, B., Civalek, O.: A new trigonometric beam model for buckling of strain gradient
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452. Akgoz, B., Civalek, O.: Shear deformation beam models for functionally graded microbeams
with new shear correction factors. Compos. Struct. 112, 214–225 (2014)
453. Akgoz, B., Civalek, O.: Bending analysis of FG microbeams resting on Winkler elastic foundation via strain gradient elasticity. Compos. Struct. 134, 294–301 (2015)
454. Akgoz, B., Civalek, O.: A novel microstructure-dependent shear deformable beam model.
Int. J. Mech. Sci. 99, 10–20 (2015)
455. Akgoz, B., Civalek, O.: Bending analysis of embedded carbon nanotubes resting on an elastic
foundation using strain gradient theory. Acta Astronaut. 119, 1–12 (2016)
456. Zhang, B., He, Y., Liu, D., Gan, Z., Shen, L.: A novel size-dependent functionally graded
curved mircobeam model based on the strain gradient elasticity theory. Compos. Struct. 106,
374–392 (2013)
457. Zhang, B., He, Y., Liu, D., Lei, J., Shen, L., Wang, L.: A size-dependent third-order shear
deformable plate model incorporating strain gradient effects for mechanical analysis of functionally graded circular/annular microplates. Compos. B Eng. 79, 553–580 (2015)
458. Thai, H.T., Kim, S.E.: A simple higher-order shear deformation theory for bending and free
vibration analysis of functionally graded plates. Compos. Struct. 96, 165–173 (2013)
459. Zhang, B., He, Y., Liu, D., Shen, L., Lei, J.: An efficient size-dependent plate theory for
bending, buckling and free vibration analyses of functionally graded microplates resting on
elastic foundation. Appl. Math. Model. 39, 3814–3845 (2015)
460. Thai, H.T., Choi, D.H.: A refined plate theory for functionally graded plates resting on elastic
foundation. Compos. Sci. Technol. 71, 1850–1858 (2011)
77
439. Reddy, J.N., Kim, J.: A nonlinear modified couple stress-based third-order theory of functionally graded plates. Compos. Struct. 94, 1128–1143 (2012)
440. Kim, J., Reddy, J.N.: Analytical solutions for bending, vibration, and buckling of FGM plates
using a couple stress-based third-order theory. Compos. Struct. 103, 86–98 (2013)
441. Lei, J., He, Y., Zhang, B., Liu, D., Shen, L., Guo, S.: A size-dependent FG micro-plate model
incorporating higher-order shear and normal deformation effects based on a modified couple
stress theory. Int. J. Mech. Sci. 104, 8–23 (2015)
442. Wang, B., Liu, M., Zhao, J., Zhou, S.: A size-dependent Reddy-Levinson beam model based
on a strain gradient elasticity theory. Mecc. 49, 1427–1441 (2014)
443. Sahmani, S., Ansari, R.: Size-dependent buckling analysis of functionally graded third-order
shear deformable microbeams including thermal environment effect. Appl. Math. Model. 37,
9499–9515 (2013)
444. Ansari, R., Gholami, R., Sahmani, S.: Free vibration of size-dependent functionally graded
microbeams based on the strain gradient reddy beam theory. Int. J. Comput. Meth. Eng. Sci.
Mech. 15, 401–412 (2014)
445. Zhang, B., He, Y., Liu, D., Gan, Z., Shen, L.: Size-dependent functionally graded beam model
based on an improved third-order shear deformation theory. Eur. J. Mech. A Sol. 47, 211–230
(2014)
446. Shi, G.: A new simple third-order shear deformation theory of plates. Int. J. Sol. Struct. 44,
4399–4417 (2007)
447. Sahmani, S., Bahrami, M., Ansari, R.: Nonlinear free vibration analysis of functionally graded
third-order shear deformable microbeams based on the modified strain gradient elasticity
theory. Compos. Struct. 110, 219–230 (2014)
448. Xiang, S., Jin, Y.-X., Bi, Z.-Y., Jiang, S.-X., Yang, M.-S.: A n-order shear deformation theory
for free vibration of functionally graded and composite sandwich plates. Compos. Struct. 93,
2826–2832 (2011)
449. Akgoz, B., Civalek, O.: A size-dependent shear deformation beam model based on the strain
gradient elasticity theory. Int. J. Eng. Sci. 70, 1–14 (2013)
450. Lei, J., He, Y., Zhang, B., Gan, Z., Zeng, P.: Bending and vibration of functionally graded
sinusoidal microbeams based on the strain gradient elasticity theory. Int. J. Eng. Sci. 72, 36–52
(2013)
451. Akgoz, B., Civalek, O.: A new trigonometric beam model for buckling of strain gradient
microbeams. Int. J. Mech. Sci. 81, 88–94 (2014)
452. Akgoz, B., Civalek, O.: Shear deformation beam models for functionally graded microbeams
with new shear correction factors. Compos. Struct. 112, 214–225 (2014)
453. Akgoz, B., Civalek, O.: Bending analysis of FG microbeams resting on Winkler elastic foundation via strain gradient elasticity. Compos. Struct. 134, 294–301 (2015)
454. Akgoz, B., Civalek, O.: A novel microstructure-dependent shear deformable beam model.
Int. J. Mech. Sci. 99, 10–20 (2015)
455. Akgoz, B., Civalek, O.: Bending analysis of embedded carbon nanotubes resting on an elastic
foundation using strain gradient theory. Acta Astronaut. 119, 1–12 (2016)
456. Zhang, B., He, Y., Liu, D., Gan, Z., Shen, L.: A novel size-dependent functionally graded
curved mircobeam model based on the strain gradient elasticity theory. Compos. Struct. 106,
374–392 (2013)
457. Zhang, B., He, Y., Liu, D., Lei, J., Shen, L., Wang, L.: A size-dependent third-order shear
deformable plate model incorporating strain gradient effects for mechanical analysis of functionally graded circular/annular microplates. Compos. B Eng. 79, 553–580 (2015)
458. Thai, H.T., Kim, S.E.: A simple higher-order shear deformation theory for bending and free
vibration analysis of functionally graded plates. Compos. Struct. 96, 165–173 (2013)
459. Zhang, B., He, Y., Liu, D., Shen, L., Lei, J.: An efficient size-dependent plate theory for
bending, buckling and free vibration analyses of functionally graded microplates resting on
elastic foundation. Appl. Math. Model. 39, 3814–3845 (2015)
460. Thai, H.T., Choi, D.H.: A refined plate theory for functionally graded plates resting on elastic
foundation. Compos. Sci. Technol. 71, 1850–1858 (2011)
