Lightweight sandwich and composite beam analysis using improved higher-order theory with respect to strain energy fidelity in ply-wise approach

References

• Apuzzo, A., R. Barretta, and R. Luciano. 2015. “Some Analytical Solutions of Functionally Graded Kirchhoff Plates.” Composites Part B: Engineering 68: 266–269. doi:10.1016/j.compositesb.2014.08.048.
   Web of Science ®Google Scholar
• Bozhevolnaya, E., and O. T. Thomsen. 2005. “Structurally Graded Core Junctions in Sandwich Beams: Fatigue Loading Conditions.” Composite Structures 70: 12–23. doi:10.1016/j.compstruct.2004.08.029.
   Web of Science ®Google Scholar
• Brischetto, S., E. Carrera, and L. Demasi. 2009. “Improved Bending Analysis of Sandwich Plates Using a Zig-zag Function.” Composite Structures 89: 408–415. doi:10.1016/j.compstruct.2008.09.001.
   Web of Science ®Google Scholar
• Carrera, E. 2003. “Theories and Finite Elements for Multilayered Plates and Shells: A Unified Compact Formulation with Numerical Assessment and Benchmarking.” Archives of Computational Methods in Engineering 10: 215–296. doi:10.1007/BF02736224.
   Web of Science ®Google Scholar
• Cook, G. M., and A. Tessler. 1998. “A {3, 2}-order Bending Theory for Laminated Composite and Sandwich Beams.” Composites Part B: Engineering 29: 565–576. doi:10.1016/S1359-8368(98)00011-0.
   Web of Science ®Google Scholar
• Desai, Y., and G. Ramtekkar. 2002. “Mixed Finite Element Model for Laminated Composite Beams.” Structural Engineering and Mechanics 13: 261–276. doi:10.12989/sem.2002.13.3.261.
   Web of Science ®Google Scholar
• Ferreira, A., C. Roque, and P. Martins. 2004. “Radial Basis Functions and Higher-order Shear Deformation Theories in the Analysis of Laminated Composite Beams and Plates.” Composite Structures 66: 287–293. doi:10.1016/j.compstruct.2004.04.050
   Google Scholar
• Frostig, Y., M. Baruch, O. Vilnay, and I. Sheinman. 1992. “High-order Theory for Sandwich-beam Behavior with Transversely Flexible Core.” Journal of Engineering Mechanics 118: 1026–1043. https://ascelibrary.org/doi/abs/10.1061/(ASCE)0733-9399(1992)118:5(1026).
   Web of Science ®Google Scholar
• Kadoli, R., K. Akhtar, and N. Ganesan. 2008. “Static Analysis of Functionally Graded Beams Using Higher Order Shear Deformation Theory.” Applied Mathematical Modelling 32 (12): 2509–2525. doi:10.1016/j.apm.2007.09.015.
   Web of Science ®Google Scholar
• Kant, T., and C. Ramesh. 1981. “Numerical Integration of Linear Boundary Value Problems in Solid Mechanics by Segmentation Method.” International Journal for Numerical Methods in Engineering 17: 1233–1256. doi:10.1002/nme.1620170808.
   Web of Science ®Google Scholar
• Kant, T., and H. Patil. 1991. “Buckling Loads of Sandwich Columns with a Higher-order Theory.” Journal of Reinforced Plastics and Composites 10: 102–109. https://journals.sagepub.com/doi/abs/10.1177/073168449101000107.
   Web of Science ®Google Scholar
• Kant, T., and K. Swaminathan. 2000. “Analytical Solutions Using a Higher Order Refined Theory for the Stability Analysis of Laminated Composite and Sandwich Plates.” Structural Engineering and Mechanics 10: 337–357. doi:10.12989/sem.2000.10.4.337.
   Web of Science ®Google Scholar
• Kant, T., S. Marur, and G. Rao. 1997. “Analytical Solution to the Dynamic Analysis of Laminated Beams Using Higher Order Refined Theory.” Composite Structures 40: 1–9. doi:10.1016/S0263-8223(97)00133-5.
   Web of Science ®Google Scholar
• Kant, T., S. S. Pendhari, and Y. M. Desai. 2007. “On Accurate Stress Analysis of Composite and Sandwich Narrow Beams.” International Journal for Computational Methods in Engineering Science and Mechanics 8: 165–177. doi:10.1080/15502280701252834.
   Google Scholar
• Kasa, T. T. 2018a. “Consideration of Interlaminar Strain–energy Continuity in Composite Plate Analysis Using Improved Higher Order Theory.” Transactions of the Canadian Society for Mechanical-Engineering 42: 211–221. https://www.nrcresearchpress.com/doi/full/10.1139/tcsme-2017-0102.
   Web of Science ®Google Scholar
• Kasa, T. T. 2018b. “Inter-Laminar Strain Energy Continuity In Orthotropic Face Sandwich And Composite Plate Analysis Using Improved Higher-Order Theory.” Progress in Canadian Society for Mechanical Engineering (CSME-2018) International Congress.doi:10.25071/10315/35381.
   Google Scholar
• Leotoing, L., S. Drapier, and A. Vautrin. 2004. “Using New Closed-form Solutions to Set up Design Rules and Numerical Investigations for Global and Local Buckling of Sandwich Beams.” Journal of Sandwich Structures & Materials 6: 263–289. doi:10.1177/1099636204034632.
   Web of Science ®Google Scholar
• Manjunatha, B., and T. Kant. 1993. “Different Numerical Techniques for the Estimation of Multiaxial Stresses in Symmetric/unsymmetric Composite and Sandwich Beams with Refined Theories.” Journal of Reinforced Plastics and Composites 12: 2–37. doi:10.1177/073168449301200101.
   Web of Science ®Google Scholar
• Pagano, N. J. 1994. Mechanics of Composite Materials, 86–101. Springer. doi:10.1007/978-94-017-2233-9_8.
   Google Scholar
• Papargyri-Beskou, S., and D. Beskos. 2008. “Static, Stability and Dynamic Analysis of Gradient Elastic Flexural Kirchhoff Plates.” Archive of Applied Mechanics 78: 625–635. doi:10.1007/s00419-007-0166-5.
   Web of Science ®Google Scholar
• Park, K.-Y., S.-E. Lee, C.-G. Kim, and J.-H. Han. 2006. “Fabrication and Electromagnetic Characteristics of Electromagnetic Wave Absorbing Sandwich Structures.” Composites Science and Technology 66: 576–584. doi:10.1016/j.compscitech.2005.05.034.
   Web of Science ®Google Scholar
• Reddy, J. N. 2006. Theory and Analysis of Elastic Plates and Shells. Boca Raton: CRC press.
   Google Scholar
• Sarangan, S., and B. Singh. 2016. “Higher-order Closed-form Solution for the Analysis of Laminated Composite and Sandwich Plates Based on New Shear Deformation Theories.” Composite Structures 138: 391–403. doi:10.1016/j.compstruct.2015.11.049.
   Web of Science ®Google Scholar
• Shaat, M., F. Mahmoud, X.-L. Gao, and A. F. Faheem. 2014. “Size-dependent Bending Analysis of Kirchhoff Nano-plates Based on a Modified Couple-stress Theory Including Surface Effects.” International-Journal-of-Mechanical-Sciences 79: 31–37. doi:10.1016/j.ijmecsci.2013.11.022.
   Web of Science ®Google Scholar
• Smits, A., D. Van Hemelrijck, T. Philippidis, and A. Cardon. 2006. “Design of a Cruciform Specimen for Biaxial Testing of Fibre Reinforced Composite Laminates.” Composites Science and Technology 66: 964–975. doi:10.1016/j.compscitech.2005.08.011.
   Web of Science ®Google Scholar
• Swanson, S. R. 2000. “Response of Orthotropic Sandwich Plates to Concentrated Loading.” Journal of Sandwich-Structures&Materials 2: 270–287. https://journals.sagepub.com/doi/10.1177/109963620000200306.
   Google Scholar
• Takele, K. 2018. “Interfacial Strain Energy Continuity Assumption-Based Analysis of an Orthotropic-Skin Sandwich Plate Using a Refined Layer-by-Layer Theory.” Mechanics of Composite Materials 54: 281–298. doi:10.1007/s11029-018-9739-3.
   Web of Science ®Google Scholar
• Wang, Y., L. Tham, and Y. Cheung. 2005. “Beams and Plates on Elastic Foundations: A Review.” Progress in Structural Engineering and Materials 7: 174–182. https://onlinelibrary.wiley.com/doi/full/10.1002/pse.202.
   Google Scholar
• Yarasca, J., J. Mantari, M. Petrolo, and E. Carrera. 2017. “Multiobjective Best Theory Diagrams for Cross-Ply Composite Plates Employing Polynomial, Zig-Zag, Trigonometric and Exponential Thickness Expansions.” Composite Structures. doi:10.1016/j.compstruct.2017.05.055.
   Web of Science ®Google Scholar
• Zhang, Y., and C. Yang. 2009. “Recent Developments in Finite Element Analysis for Laminated Composite Plates.” Composite-Structures 88: 147–157. doi:10.1016/j.compstruct.2008.02.014.
   Web of Science ®Google Scholar