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- W1981283056 abstract "Abstract A generalized, finite-element-based, cross-sectional analysis for nonhomogenous, initially curved and twisted, anistropic beams is formulated from geometrically nonlinear, three-dimensional (3-D) elasticity. The 3-D strain field is formulated based on the concept of decomposition of the rotation tensor and is given in terms of one-dimensional (1-D) generalized strains and a 3-D warping displacement that is obtained from the formulation, not assumed. The warping is found in terms of the 1-D strains via the variational asymptotic method (VAM). In this paper a Timoshenko-like model is presupposed for a beam with cross-sectional characteristic length h, wavelength of deformation given by l, and the magnitude of the radius of initial curvature and/or twist is taken to be of the order R. First, a solution for the asymptotically correct refinement of classical anisotropic beam theory for initially curved and twisted beams through O(h2/R2) is obtained. Next, the O(h2/l2) correction is computed. It is known that Timoshenko-like theory is not capable of capturing all the O(h2/l2) corrections for generally anisotropic beams. However, if all the O(h2/l2) terms are known, then the corresponding Timoshenko-like theory is uniquely defined. Numerical results are presented to illustrate the trends of the various classical (extension-twist, bending-twist, and extension-bending) and nonclassical couplings (extension-shear, bending-shear, and shear-torsion) as the initial twist and curvatures are varied." @default.
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- W1981283056 date "2002-09-01" @default.
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- W1981283056 title "On Timoshenko-like modeling of initially curved and twisted composite beams" @default.
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- W1981283056 doi "https://doi.org/10.1016/s0020-7683(02)00399-2" @default.
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