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An Invariant-Based Constitutive Model for Composite Laminates. [PDF]
Liu W, Fan S, Mu X, Ma R, Wang X.
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Reversible bending of U-shaped plant petioles under dehydration. [PDF]
Schliebach A +7 more
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PROPAGATION OF NONLINEAR BENDING WAVES IN HYSTERETIC BEAMS
International Journal for Multiscale Computational Engineering, 2022The dynamic nonlinear problem of wave propagation in infinitely long hysteretic beams under bending is addressed. Such a problem is tackled by proposing an asymptotic treatment based on the method of multiple scales. The equations of motion are obtained reducing the three-dimensional-continuum model to the one-dimensional plane beam problem via the ...
Annamaria Pau +3 more
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Nonlinear Corrections for Edge Bending of Shells
Journal of Applied Mechanics, 1980Asymptotic expansions for self-equilibrating edge loading are derived in terms of exponential functions, from which formulas for the stiffness and flexibility edge influence coefficients are obtained, which include the quadratic nonlinear terms. The flexibility coefficients agree with those previously obtained by Van Dyke for the pressurized spherical ...
Ranjan, G. V., Steele, C. R.
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Nonlinear Bending of thin Elastic Rods
Journal of Applied Mechanics and Technical Physics, 2002Exact solutions of the problem of nonlinear bending of thin rods under various fixing conditions and point dead loads are obtained. The solutions written in a unified parametric form and expressed in terms of the elliptic Jacobi functions are classified. These solutions depend on a single parameter - modulus of elliptic functions.
Zakharov, Yu. V., Okhotkin, K. G.
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On the nonlinear bending of a hyperstatic bar
International Journal of Engineering Science, 1986zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Teodorescu, P. P., Toma, Ileana
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The Nonlinear Bending of Thin Rods
Journal of Applied Mechanics, 1959Abstract The nonlinear bending of straight and circular-arc cantilevers under vertical and horizontal point loads is analyzed from a unified approach. Formulas for determining the deflected shape of the cantilevers are presented. Closed-form solutions are obtained for bending under two types of distributed loads.
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Nonlinear Bending of Circular Plates
SIAM Journal on Applied Mathematics, 1976The existence of a solution to the Von Karman equations for the nonlinear axi-symmetric bending of a circular plate is proved. The method is related to that used by Hammerstein in treating nonlinear integral equations.
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Journal of the Engineering Mechanics Division, 1971
The object of the present investigation is to develop a method, using the analog computer, for the analysis of nonlinear bending of bars having any arbitrary shape and subjected to arbitrary loads and boundary conditions.
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The object of the present investigation is to develop a method, using the analog computer, for the analysis of nonlinear bending of bars having any arbitrary shape and subjected to arbitrary loads and boundary conditions.
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