J. A. Teixeira de Freitas, Carlos Tiago, E. M. B. R. Pereira
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引用次数: 0
Abstract
The polynomial bases usually applied in the implementation of hybrid-Trefftz stress elements for plate bending are extended to include the formal solutions necessary to model high-gradient stress fields associated with boundary layer and singular wedge effects. To this end, the approximation of the stress-resultant field includes the (Trefftz) solutions of the harmonic, biharmonic, and Helmholtz governing systems of differential equations. Numerical testing problems are selected to show that the element can be used to solve the Kirchhoff model and to adequately simulate both boundary layer and singular wedge effects in thin and moderately thick Mindlin–Reissner plates.
期刊介绍：
The International Journal for Numerical Methods in Engineering publishes original papers describing significant, novel developments in numerical methods that are applicable to engineering problems.
The Journal is known for welcoming contributions in a wide range of areas in computational engineering, including computational issues in model reduction, uncertainty quantification, verification and validation, inverse analysis and stochastic methods, optimisation, element technology, solution techniques and parallel computing, damage and fracture, mechanics at micro and nano-scales, low-speed fluid dynamics, fluid-structure interaction, electromagnetics, coupled diffusion phenomena, and error estimation and mesh generation. It is emphasized that this is by no means an exhaustive list, and particularly papers on multi-scale, multi-physics or multi-disciplinary problems, and on new, emerging topics are welcome.
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