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Nonlinear bending models for beams and plates. [PDF]
Proc Math Phys Eng Sci, 2014 A new nonlinear model for large deflections of a beam is proposed. It comprises the Euler–Bernoulli boundary value problem for the deflection and a nonlinear integral condition. When bending does not alter the beam length, this condition guarantees that the deflected beam has the original length and fixes the horizontal displacement of the free end ...
Antipov YA.
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Programming Nonlinear Interfacial Mechanics of Synthetic Cells: Lipid Geometry and DNA Nanostructures [PDF]
Small ScienceSoft interfaces formed by lipid membranes are fundamental to living cells, synthetic cells, and membrane‐based soft materials. However, a quantitative framework linking molecular organization with nonlinear interfacial mechanics remains elusive. Here, we
Kazutoshi Masuda, Miho Yanagisawa
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Mathematics, 2022 This paper presents exact solutions for the nonlinear bending problem, the buckling loads, and postbuckling configurations of a perfect and an imperfect bioinspired helicoidal composite beam with a linear rotation angle.
Khalid H. Almitani +4 more
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Mathematics, 2022 The nonlinear bending of the sandwich plates with graphene nanoplatelets (GPLs) reinforced porous composite (GNRPC) core and two metal skins subjected to different boundary conditions and various loads, such as the concentrated load at the center, linear
Xudong Fan +4 more
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Porosity Effects on Static Performance of Carbon Nanotube-Reinforced Meta-Nanocomposite Structures
Micromachines, 2023 A mixture of outstanding merits of polymer nanocomposites (PNCs) and metamaterials can lead to the development of ultra-light meta-nanomaterials whose high sensitivity can be efficiently used in wearable strain sensors.
Farzad Ebrahimi, Ali Dabbagh
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Bending-Induced Cross-Sectional Deformation of Cold-Formed Steel Channel-Section Beams
Advances in Civil Engineering, 2021 In practice, the cold-formed steel structures are widely used, and their geometrical nonlinearity is of great significance in structural design. However, the current analytical solutions are only applied to linear problems, and the nonlinear problems are
Liusi Dai, Wenfu He
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A nonlinear bending theory for nematic LCE plates
Mathematical Models and Methods in Applied Sciences, 2023 In this paper, we study an elastic bilayer plate composed of a nematic liquid crystal elastomer in the top layer and a nonlinearly elastic material in the bottom layer. While the bottom layer is assumed to be stress-free in the flat reference configuration, the top layer features an eigenstrain that depends on the local liquid crystal orientation.
Bartels, Sören +4 more
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Static and dynamic analyses of auxetic hybrid FRC/CNTRC laminated plates
Nanotechnology Reviews, 2020 In this work, a hybrid laminated plate is developed by changing ply orientations and stacking sequences. The hybrid laminated plate is composed of carbon nanotube reinforced composite and fiber reinforced composite layers.
Huang Xu-Hao +4 more
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Nonlinear Elasticity of DNA Bending [PDF]
Biophysical Journal, 2012 Double stranded (ds) DNA has been used as a “molecular spring” to mechanically control the conformation of proteins, ribozymes and peptides [1]. It is thus interesting to characterize quantitatively the mechanics of DNA springs in the relevant regime of sharp bending ...
Qu, Hao +3 more
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Nonlinear Bending Analysis of Functionally Graded Plates Using SQ4T Elements based on Twice Interpolation Strategy [PDF]
Journal of Applied and Computational Mechanics, 2020 This paper develops a computational model for nonlinear bending analysis of functionally graded (FG) plates using a four-node quadrilateral element SQ4T within the context of the first order shear deformation theory (FSDT).
Hoang Lan Ton That +2 more
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