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      Semi-analytical solution for buckling of SMA thin plates with linearly distributed loads

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      https://www.riss.kr/link?id=A106249793

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      다국어 초록 (Multilingual Abstract)

      Buckling analysis of shape memory alloy (SMA) rectangular plates subjected to uniform and linearly distributed inplane loads is the main objective in the present paper. Brinson's model is developed to express the constitutive characteristics of SMA pl...

      Buckling analysis of shape memory alloy (SMA) rectangular plates subjected to uniform and linearly distributed inplane loads is the main objective in the present paper. Brinson's model is developed to express the constitutive characteristics of SMA plate. Using the classical plate theory and variational approach, stability equations are derived. In addition to external inplane mechanical loads, the plate is subjected to the pre-stresses caused by the recovery stresses that are generated during martensitic phase transformation. Ritz method is used for solving the governing stability equations. Finally, the effects of conditions on the edges, thickness, aspect ratio, temperature and pre-strains on the critical buckling loads of SMA plate are investigated in details.

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      참고문헌 (Reference)

      1 Jae-Sang Park, "Vibration of thermally post-buckled composite plates embedded with shape memory alloy fibers" Elsevier BV 63 (63): 179-188, 2004

      2 Ventsel, E., "Thin Plates and Shells: Theory: Analysis, and Applications" CRC Press 2001

      3 Roh, J. H., "Thermal post-buckling analysis of shape memory alloy hybrid composite shell panels" 13 : 1337-, 2004

      4 Wu Lanhe, "Thermal buckling of a simply supported moderately thick rectangular FGM plate" Elsevier BV 64 (64): 211-218, 2004

      5 Le-Chung Shiau, "Thermal buckling behavior of composite laminated plates" Elsevier BV 92 (92): 508-514, 2010

      6 Hesham Hamed Ibrahim, "Thermal buckling and nonlinear flutter behavior of shape memory alloy hybrid composite plates" SAGE Publications 17 (17): 321-333, 2010

      7 Kumar, S., "Thermal buckling analysis of SMA fiber-reinforced composite plates using layerwise model" 22 : 342-353, 2009

      8 R. Javaheri, "Thermal Buckling of Functionally Graded Plates" American Institute of Aeronautics and Astronautics (AIAA) 40 (40): 162-169, 2002

      9 Taylor, G., "The buckling load for a rectangular plate with four clamped edges" 13 : 147-152, 1933

      10 Umut Topal, "Shear buckling analysis of cross-ply laminated plates resting on Pasternak foundation" 국제구조공학회 68 (68): 369-375, 2018

      1 Jae-Sang Park, "Vibration of thermally post-buckled composite plates embedded with shape memory alloy fibers" Elsevier BV 63 (63): 179-188, 2004

      2 Ventsel, E., "Thin Plates and Shells: Theory: Analysis, and Applications" CRC Press 2001

      3 Roh, J. H., "Thermal post-buckling analysis of shape memory alloy hybrid composite shell panels" 13 : 1337-, 2004

      4 Wu Lanhe, "Thermal buckling of a simply supported moderately thick rectangular FGM plate" Elsevier BV 64 (64): 211-218, 2004

      5 Le-Chung Shiau, "Thermal buckling behavior of composite laminated plates" Elsevier BV 92 (92): 508-514, 2010

      6 Hesham Hamed Ibrahim, "Thermal buckling and nonlinear flutter behavior of shape memory alloy hybrid composite plates" SAGE Publications 17 (17): 321-333, 2010

      7 Kumar, S., "Thermal buckling analysis of SMA fiber-reinforced composite plates using layerwise model" 22 : 342-353, 2009

      8 R. Javaheri, "Thermal Buckling of Functionally Graded Plates" American Institute of Aeronautics and Astronautics (AIAA) 40 (40): 162-169, 2002

      9 Taylor, G., "The buckling load for a rectangular plate with four clamped edges" 13 : 147-152, 1933

      10 Umut Topal, "Shear buckling analysis of cross-ply laminated plates resting on Pasternak foundation" 국제구조공학회 68 (68): 369-375, 2018

      11 Rakesh K. Kapania, "Recent advances in analysis of laminated beams and plates. Part I - Sheareffects and buckling." American Institute of Aeronautics and Astronautics (AIAA) 27 (27): 923-935, 1989

      12 Åkesson, B., "Plate Buckling in Bridges and Other Structures" CRC Press 2007

      13 Zhu, P., "Plastic and transformation interactions of pores in shape memory alloy plates" 23 : 104008-, 2014

      14 L.C. Brinson, "One-Dimensional Constitutive Behavior of Shape Memory Alloys: Thermomechanical Derivation with Non-Constant Material Functions and Redefined Martensite Internal Variable" SAGE Publications 4 (4): 229-242, 2016

      15 Adim Belkacem, "Mechanical buckling analysis of hybrid laminated composite plates under different boundary conditions" 국제구조공학회 66 (66): 761-769, 2018

      16 Chang, K. H., "Free vibrations and buckling of rectangular plates with linearly varying in-plane loading" 4 : 99-111, 2004

      17 R. Karimi Mahabadi, "Free Vibration of Laminated Composite Plate with Shape Memory Alloy Fibers" FapUNIFESP (SciELO) 13 (13): 314-330, 2016

      18 D.S. Burton, "Finite element simulation of a self-healing shape memory alloy composite" Elsevier BV 38 (38): 525-537, 2006

      19 Asadi, H., "Enhanced thermal stability of functionally graded sandwich cylindrical shells by shape memory alloys" 24 : 045022-, 2015

      20 Reddy, J. N., "Energy Principles and Variational Methods in Applied Mechanics" John Wiley & Sons 2017

      21 W. Ostachowicz, "Dynamics and buckling of a multilayer composite plate with embedded SMA wires" Elsevier BV 48 (48): 163-167, 2000

      22 X. Wang, "Differential quadrature analysis of deflection, buckling, and free vibration of beams and rectangular plates" Elsevier BV 48 (48): 473-479, 1993

      23 Chen, T. L., "Design of composite-material plates for maximum uniaxial compressive buckling load" 104-107, 1967

      24 Y.Z. Chen, "Concise formula for the critical buckling stresses of an elastic plate under biaxial compression and shear" Elsevier BV 65 (65): 1507-1510, 2009

      25 Idris A. Musa, "Buckling of plates including effect of shear deformations: a hyperelastic formulation" 국제구조공학회 57 (57): 1107-1124, 2016

      26 Javaheri, R., "Buckling of Functionally Graded Plates under In plane Compressive Loading" 82 : 277-283, 2002

      27 J. N. Reddy, "Buckling and vibration of laminated composite plates using various plate theories" American Institute of Aeronautics and Astronautics (AIAA) 27 (27): 1808-1817, 1989

      28 Turvey, G. J., "Buckling and Postbuckling of Composite Plates" Springer Science & Business Media 2012

      29 Shih-Yao Kuo, "Buckling analysis of shape memory alloy reinforced composite laminates" Elsevier BV 90 (90): 188-195, 2009

      30 Abolghasemi, S., "Analytical solution for buckling of rectangular plates subjected to non-uniform in-plane loading based on first order shear deformation theory" 14 : 2015

      31 Megson, T. H. G., "Aircraft Struct. Eng. Students" Butterworth-Heinemann 2012

      32 S.P. Thompson, "Adaptive post-buckling response of carbon fibre composite plates employing SMA actuators" Elsevier BV 38 (38): 667-678, 1997

      33 F. Auricchio, "A one-dimensional model for superelastic shape-memory alloys with different elastic properties between austenite and martensite" Elsevier BV 32 (32): 1101-1114, 1997

      34 Lee, H. J., "A numerical analysis of the buckling and postbuckling behavior of laminated composite shells with embedded shape memory alloy wire actuators" 9 : 780-790, 2000

      35 Arthur W. Leissa, "A Review of Laminated Composite Plate Buckling" ASME International 40 (40): 575-591, 1987

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