Results 171 to 180 of about 1,976 (223)
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Bifurcation buckling from a membrane stress state
International Journal for Numerical Methods in Engineering, 2012SUMMARYA membrane stress state may be considered as a general stress state in which mechanical constraints have been imposed. Therefore, it would appear that there are mathematical subsidiary conditions for bifurcation buckling from such a stress state. In this work, such conditions are derived in the frame of the Finite Element Method.
Herbert A Mang
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Thermal bifurcation buckling of piezoelectric carbon nanotube reinforced composite beams [PDF]
Computers and Mathematics With Applications, 2013 The nonlinear thermal bifurcation buckling behavior of carbon nanotube reinforced composite (CNTRC) beams with surface-bonded piezoelectric layers is studied in this paper.
M Rafiee, Jie Yang, S Kitipornchai
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Effect of the nonlinear pre-buckling state on the bifurcation point of conical shells [PDF]
International Journal of Solids and Structures, 2006 The effect of pre-buckling nonlinearity on the bifurcation point of a conical shell is examined on the basis of three shell theories: Donnell’s, Sanders’ and Timoshenko’s. The eigenvalue problem is solved iteratively about the nonlinear equilibrium state
Mahmood Jabareen, Izhak Sheinman
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Bifurcation of Euler buckling problem, revisited
Hokkaido Mathematical Journal, 2021The authors develop a long and detailed exposition of the treatment by Golubitsky and Schaeffer of the bifurcation theory for the classical bifurcation for the Euler buckling problem. The main tool used here is the singularity theory due to the same authors.
Afroz, Atia, Fukui, Toshizumi
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Viscoplastic bifurcation buckling of plates
AIAA Journal, 1991A method is proposed according to which the bifurcation buckling load of inelastic rate-sensitive plates subjected to specified boundary conditions can be deduced from the solution of the corresponding perfectly elastic problem under the same boundary conditions.
Moshe Paley, Jacob Aboudi
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On the bifurcation buckling and vibration of porous nanobeams
Composite Structures, 2020Abstract In the present paper, effects of porous material on bifurcation buckling and natural vibrations of nanobeams are investigated based on the higher-order nonlocal strain gradient theory. The displacement field of the nanobeam satisfies assumptions of Reddy higher-order shear deformation beam theory.
Piotr Jankowski +3 more
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On Bifurcation in Finite Elasticity: Buckling of a Rectangular Rod
Journal of Elasticity, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Simpson, Henry C., Spector, Scott J.
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Buckling of a critically tapered rod: global bifurcation
Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 2003The present paper, which can be considered as a continuation of the first author's previous papers [\textit{C. A. Stuart}, J. Math. Pures Appl., IX. Sér. 80, No. 3, 281--337 (2001; Zbl 1056.74019) and Proc. R. Soc. Edinb., Sect. A, Math. 132, No. 3, 729--764 (2002; Zbl 1020.34076)] is concerned with studying the buckling of a tapered rod. This physical
Stuart, C.A, Vuillaume, G
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Nonlinear Isometric Bifurcation and Shell Buckling
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1977AbstractA simple concept for studying the lower stability limit of shell structures which is based on the theory of isometric transformation of surfaces is outlined. The influence of imperfection on the lower stability limit is discussed in the case of axially compressed cylindrical shells.
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Bifurcation of locally buckled members
Thin-Walled Structures, 1997The paper presents a general bifurcation analysis of members that are locally buckled in the fundamental state. The members are assumed to be geometrically perfect in the overall sense such that bifurcation of the locally buckled member in an overall mode may occur. The analysis applies to arbitrary types of loads and support conditions.
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