Abstract

Stress recovery based on results from a two-dimensional plate-theory solution is a common method to estimate the transverse stresses in a plate. The development of a stress-recovery procedure is presented that is based directly on plate-theory finite element solutions applicable to situations in which geometrically nonlinear and inertial effects are important. The key reason for employing the stress-recovery procedure is its computational efficiency compared to three-dimensional finite element analyses. The developed procedure is applied to an example flat plate under the influence of dynamic loading. Results from the developed procedure are discussed; they compare well to those from a benchmark three-dimensional finite element solution. The range of applicability of the procedure, considering plate span-to-thickness ratio and degree of nonlinearity, is illustrated. Finally, a discussion is included in which the computational effort to obtain an accurate transverse-stress distribution by the stress-recovery method is compared to that of the benchmark three-dimensional solution.

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