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Eigenvalues and stable time steps for the bilinear Mindlin plate element

Ted BelytschkoNorthwestern University, Evanston, Illinois, U.S.AJerry I. LinNorthwestern University, Evanston, Illinois, U.S.A
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Abstract Eigenvalues are obtained for the 4‐node Mindlin plate element with one‐point quadrature. Both isotropic and some anisotropic matenals are considered, but for the latter only bounds are obtained on the eigenvalues. These eigenvalues provide stable time steps for explicit time integration algorithms.

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