Buckling of a Nonlinearly Elastic Column: Variational Principles, Bifurcation and Asymptotics [PDF]
Rocky Mountain Journal of Mathematics, 1995 We study the equilibrium states of an elastic column subject to an end thrust. The column is modeled as an inextensible rod with a nonlinear moment-curvature equation. We bring various mathematical theories to bear on this problem; the calculus of variations, bifurcation theory, phase plane analysis, and singular perturbation theory for ordinary ...
Peter Wolfe
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On the bifurcation analysis of thin multilayer structures by the Asymptotic Numerical Method [PDF]
Journal of Theoretical, Computational and Applied MechanicsThis paper focuses on the stability analysis of multilayer thin shells using the asymptotic numerical method (ANM) combined with Padé approximants. This technique is highly effective for solving nonlinear problems due to its high-order algorithm that ...
Hamza Azzayani +5 more
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Characteristics of bifurcation and buckling load of space truss in consideration of initial imperfection and load mode [PDF]
, 2013 Sudeok Shon, Seungjae Lee, Kang-guk Lee
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International Journal of Solids and Structures, 2022 Nicolás Jacquet +3 more
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Controlling colloidal flow through a microfluidic Y-junction [PDF]
Communications PhysicsMicroscopic particles flowing through narrow channels may accumulate near bifurcation points provoking flow reduction, clogging and ultimately chip breakage in a microfluidic device. Here we show that the full flow behavior of colloidal particles through
Alexander P. Antonov +5 more
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Elastoplastic bifurcation analysis for the lateral–torsional buckling of straight beams
International Journal of Solids and Structures, 2023 Chedid Saade +3 more
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Asymmetric-bifurcation snapping, all-or-none motion of Venus flytrap [PDF]
Scientific ReportsThe Venus flytrap is a carnivorous plant that catches insects by snapping rapidly and reopening slowly. To understand the mechanism underlying this asymmetrically reversible motion, a three-dimensional laser profiler was used to measure both static ...
Xiangli Zeng +2 more
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Enhanced sensitivity and tunability of thermomechanical resonance near the buckling bifurcation [PDF]
2D MaterialsAbstract The high susceptibility of ultrathin two-dimensional (2D) material resonators to force and temperature makes them ideal systems for sensing applications and exploring thermomechanical coupling. Although the dynamics of these systems at high stress has been thoroughly investigated, their behavior near the buckling transition has ...
Hanqing Liu +5 more
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Numerical Investigation on Thermal Post-buckling Of Annular Sector Plates Made of FGM Via 3D Finite Element Method [PDF]
Mechanics of Advanced Composite Structures, 2021 This paper presents the thermal post-buckling analysis of functionally graded annular sector plates subjected to uniform temperature rise for the first time.
Milad Shahsavari +3 more
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Frontiers in Materials, 2021 Functionally graded material (FGM) arches may be subjected to a locally radial load and have different material distributions leading to different nonlinear in-plane buckling behavior.
Hanwen Lu +4 more
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