463,118 research outputs found

    Dynamic responses of graphite/epoxy laminated beam to impact of elastic spheres

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    Wave propagation in 90/45/90/-45/902s and 0/45/0/-45/02s laminates of a graphite/epoxy composite due to impact of a steel ball was investigated experimentally and also by using a high order beam finite element. Dynamic strain responses at several locations were obtained using strain gages. The finite element program which incorporated statically determined contact laws was employed to calculate the contact force history as well as the target beam dynamic deformation. The comparison of the finite element solutions with the experimental data indicated that the static contact laws for loading and unloading (developed under this grant) are adequate for the dynamic impact analysis. It was found that for the 0/45/0/-45/02s laminate which has a much larger longitudinal bending rigidity, the use of beam finite elements is not suitable and plate finite element should be used instead

    A k-space method for nonlinear wave propagation

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    A k-space method for nonlinear wave propagation in absorptive media is presented. The Westervelt equation is first transferred into k-space via Fourier transformation, and is solved by a modified wave-vector time-domain scheme [Mast et al., IEEE Tran. Ultrason. Ferroelectr. Freq. Control 48, 341-354 (2001)]. The present approach is not limited to forward propagation or parabolic approximation. One- and two-dimensional problems are investigated to verify the method by comparing results to the finite element method. It is found that, in order to obtain accurate results in homogeneous media, the grid size can be as little as two points per wavelength, and for a moderately nonlinear problem, the Courant-Friedrichs-Lewy number can be as small as 0.4. As a result, the k-space method for nonlinear wave propagation is shown here to be computationally more efficient than the conventional finite element method or finite-difference time-domain method for the conditions studied here. However, although the present method is highly accurate for weakly inhomogeneous media, it is found to be less accurate for strongly inhomogeneous media. A possible remedy to this limitation is discussed

    B to tensor meson form factors in the perturbative QCD approach

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    We calculate the Bu,d,s→TB_{u,d,s}\to T form factors within the framework of the perturbative QCD approach, where TT denotes a light tensor meson with JP=2+J^P=2^+. Due to the similarities between the wave functions of a vector and a tensor meson, the factorization formulas of B→TB\to T form factors can be obtained from the B→VB\to V transition through a replacement rule. As a consequence, we find that these two sets of form factors have the same signs and correlated q2q^2-dependence behaviors. At q2=0q^2=0 point, the B→TB\to T form factors are smaller than the B→VB\to V ones, in accordance with the experimental data of radiative B decays. In addition, we use our results for the form factors to explore semilteptonic B→TlνˉlB\to Tl\bar \nu_l decays and the branching fractions can reach the order 10−410^{-4}.Comment: 13 pages, 3 figures, 6 tables, published versio

    Phase Transitions for the Brusselator Model

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    Dynamic phase transitions of the Brusselator model is carefully analyzed, leading to a rigorous characterization of the types and structure of the phase transitions of the model from basic homogeneous states. The study is based on the dynamic transition theory developed recently by the authors
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