1. Timoshenko SP, Gere JM. Theory of elastic stability. 2nd Edition. New York: Dover Publications; 2012. [
Link]
2. Block DL, Card MF, Mikulas MM. Buckling of eccentrically stiffened orthotropic cylinders [Report]. Washington, D.C.: NASA; 1965 Aug. Report No.: NASA-TN-D-2960. [
Link]
3. Reddy JN, Khdeir AA. Buckling and vibration of laminated composite plates using various plate theories. AIAA Journal. 1989;27(12):1808-1817. [
Link] [
DOI:10.2514/3.10338]
4. Mukhopadhyay M, Mukherjee A. Finite element buckling analysis of stiffened plates. Computers & Structures. 1990;34(6):795-803. [
Link] [
DOI:10.1016/0045-7949(90)90350-B]
5. Hosseini-Hashemi Sh, Khorshidi K, Amabili M. Exact solution for linear buckling of rectangular Mindlin plates. Journal of Sound and Vibration. 2008;315(1-2):318-342. [
Link] [
DOI:10.1016/j.jsv.2008.01.059]
6. Khorshidi K, Fallah A. Buckling analysis of functionally graded rectangular nano-plate based on nonlocal exponential shear deformation theory. International Journal of Mechanical Sciences. 2016;113:94-104. [
Link] [
DOI:10.1016/j.ijmecsci.2016.04.014]
7. Khorshidi K, Fallah A. Effect of exponential stress resultant on buckling re-sponse of functionally graded rectangular plates. Journal of Stress Analysis. 2017;2(1):27-33. [
Link]
8. Fujikubo M, Yao T. Elastic local buckling strength of stiffened plate considering plate/stiffener interaction and welding residual stress. Marine Structures. 1999;12(9-10):543-564. [
Link] [
DOI:10.1016/S0951-8339(99)00032-5]
9. Byklum E, Amdahl J. A simplified method for elastic large deflection analysis of plates and stiffened panels due to local buckling. Thin-Walled Structures. 2002;40(11):925-953. [
Link] [
DOI:10.1016/S0263-8231(02)00042-3]
10. Srivastava AKL, Datta PK, Sheikh AH. Buckling and vibration of stiffened plates subjected to partial edge loading. International Journal of Mechanical Sciences. 2003;45(1):73-93. [
Link] [
DOI:10.1016/S0020-7403(03)00038-9]
11. Byklum E, Steen E, Amdahl J. A semi-analytical model for global buckling and postbuckling analysis of stiffened panels. Thin Walled Structures. 2004;42(5):701-717. [
Link] [
DOI:10.1016/j.tws.2003.12.006]
12. Peng LX, Liew KM, Kitipornchai S. Buckling and free vibration analyses of stiffened plates using the FSDT mesh-free method. Journal of Sound and Vibration. 2006;289(3):421-449. [
Link] [
DOI:10.1016/j.jsv.2005.02.023]
13. Zhang Sh, Khan I. Buckling and ultimate capability of plates and stiffened panels in axial compression. Marine Structures. 2009;22(4):791-808. [
Link] [
DOI:10.1016/j.marstruc.2009.09.001]
14. Yeilaghi Tamijani A, Kapania RK. Buckling and static analysis of curvilinearly stiffened plates using mesh-free method. AIAA Journal. 2010;48(12):2739-2751. [
Link] [
DOI:10.2514/1.43917]
15. Yeilaghi Tamijani A, Kapania RK. Chebyshev-ritz approach to buckling and vibration of curvilinearly stiffened plate. AIAA Journal. 2012;50(5):1007-1018. [
Link] [
DOI:10.2514/1.J050042]
16. Shi P, Kapania RK, Dong CY. Vibration and buckling analysis of curvilinearly stiffened plates using finite element method. AIAA Journal. 2015;53(5):1319-1335. [
Link] [
DOI:10.2514/1.J053358]
17. Bhar A, Phoenix SS, Satsangi SK. Finite element analysis of laminated composite stiffened plates using FSDT and HSDT: A comparative perspective. Composite Structures. 2010;92(2):312-321. [
Link] [
DOI:10.1016/j.compstruct.2009.08.002]
18. Farzam-Rad SA, Hassani B, Karamodin A. Isogeometric analysis of functionally graded plates using a new quasi-3D shear deformation theory based on physical neutral surface. Composites Part B: Engineering. 2017;108:174-189. [
Link] [
DOI:10.1016/j.compositesb.2016.09.029]
19. Farzam A, Hassani B. Thermal and mechanical buckling analysis of FG carbon nanotube reinforced composite plates using modified couple stress theory and isogeometric approach. Composite Structures. 2018;206:774-790. [
Link] [
DOI:10.1016/j.compstruct.2018.08.030]
20. Farzam A, Hassani B. Size-dependent analysis of FG microplates with temperature-dependent material properties using modified strain gradient theory and isogeometric approach. Composites Part B: Engineering. 2019;161:150-168. [
Link] [
DOI:10.1016/j.compositesb.2018.10.028]
21. Farzam A, Hassani B. A new efficient shear deformation theory for FG plates with in-plane and through-thickness stiffness variations using isogeometric approach. Mechanics of Advanced Materials and Structures. 2019;26(6):512-525. [
Link] [
DOI:10.1080/15376494.2017.1400623]
22. Farzam A, Hassani B, Karamodin A. Size-dependent analysis of functionally graded nanoplates using refined plate theory and isogeometric approach. 11th International Congress on Civil Engineering, 2018 May 8-10, Tehran, Iran. Tehran: University of Tehran; 2018. [
Link]
23. Farzam A, Hassani B, Karamodin A. Free vibration analysis of FG nonoplates using quasi-3D hyperbolic refined plate theory and the isogeometric approach. International Congress on Science and Engineering, 2018 March 12, Hamburg, Germany. Unknown city: Unknown Publisher; 2018. [
Link]
24. Khorshidi K, Asgari T, Fallah A. Free vibrations analysis of functionally graded rectangular nano-plates based on nonlocal exponential shear deformation theory. Mechanics of Advanced Composite Structures. 2015;2(2):79-93. [
Link]
25. Khorshidi K, Khodadadi M. Precision closed-form solution for out-of-plane vibration of rectangular plates via trigonometric shear deformation theory. Mechanics of Advanced Composite Structures. 2016;3(1):31-43. [
Link]
26. Khorshidi K, Khodadadi M. Precision closed-form solution for out-of-plane vibration of rectangular plates via trigonometric shear deformation theory. Mechanics of Advanced Composite Structures. 2017;4(2):127-137. [
Link]
27. Khorshidi K, Siahpush A, Fallah A. Electro-mechanical free vibrations analysis of composite rectangular piezoelectric nanoplate using modified shear deformation theories. Journal of Science and Technology of Composites. 2017;4(2):151-160. [Persian] [
Link]
28. Noorabadi M, Najafi M, Nobakhti A, Eskandarijam J. Optimization of static and dynamic parameters of stiffened plates. 14th Marine Industrials Conference, 2012 December 26-27, Tehran, Iran. Iranian Association of Naval Architecture and Marine Engineering; 2012. [Persian] [
Link]
29. Nguyen-Thoi T, Bui-Xuan T, Phung-Van P, Nguyen-Xuan H, Ngo-Thanh P. Static, free vibration and buckling analyses of stiffened plates by CS-FEM-DSG3 using triangular elements. Computers & Structures. 2013;125:100-113. [
Link] [
DOI:10.1016/j.compstruc.2013.04.027]
30. Golmakani ME, Zeighami V. Buckling analysis of functionally graded carbon nanotube-reinforced composite plates using incremental loading and dynamic relaxation methods. Numerical Methods in Engineering. 2016;35(1):43-63. [Persian] [
Link] [
DOI:10.18869/acadpub.jcme.35.1.43]
31. Zhao W, Kapania RK. Buckling analysis of unitized curvilinearly stiffened composite panels. Composite Structures. 2016;135:365-382. [
Link] [
DOI:10.1016/j.compstruct.2015.09.041]
32. Qin XC, Dong CY, Wang F, Qu XY. Static and dynamic analyses of isogeometric curvilinearly stiffened plates. Applied Mathematical Modelling. 2017;45:336-364. [
Link] [
DOI:10.1016/j.apm.2016.12.035]
33. Hao P, Yuan X, Liu H, Wang B, Liu Ch, Yang D, et al. Isogeometric buckling analysis of composite variable-stiffness panels. Composite Structures. 2017;165:192-208. [
Link] [
DOI:10.1016/j.compstruct.2017.01.016]
34. Austin Cottrell J, Hughes TJR, Bazilevs Y. Isogeometric analysis: Toward integration of CAD and FEA. Hoboken: John Wiley & Sons; 2009. [
Link] [
DOI:10.1002/9780470749081]
35. Piegl L, Tiller W. The NURBS book. 2nd Edition. Berlin: Springer; 1997. [
Link] [
DOI:10.1007/978-3-642-59223-2]
36. Reddy JN. Energy principles and variational methods in applied mechanics. 3rd Edition. Hoboken: John Wiley & Sons; 2017. [
Link]
37. Beer G, Bordas S, editors. Isogeometric methods for numerical simulation. Berlin: Springer; 2015. [
Link] [
DOI:10.1007/978-3-7091-1843-6]