The Collapse Load of Plates by Hierarchical C⁰-Plate Element

Abstract:

Although a structural analysis of plates based on the linear elastic theory yields good results for deformations and stresses produced by working loads, it fails to assess the real load-carrying capacities of plates on the verge of yielding. In the case of a limit analysis of plates, the yield line theory is widely used on the basis of the upper bound theorem and theoretically it overestimates the strength of plates. That is why the p-version of the finite element method has been proposed for determining the accurate limit load of plates causing collapse. In this method, the hierarchical C^o -plate element for bending of elastic-plastic plates accounting for transverse shear effects has been formulated, and is based on the incremental theory of plasticity and the Reissner-Mindlin plate theory. The numerical results are presented for a variety of rectangular plate problems and are compared to the results obtained by the h-version software ADINA, as well as with the available analytical solutions in literature.

• Periodical: Applied Mechanics and Materials (Volumes 405-408)
• Pages: 3147-3150
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.405-408.3147
• Online since: September 2013
• Authors: Kwang Sung Woo, Yong Hwan Yeo, Dong Woo Lee, Seung Ho Yang
• Keywords: Collapse Mechanism, Elastic-Plastic Plate, Load-Carrying Capacity, Lower Bound Theorem, Upper Bound Theorem, Yield-Line Theory

References

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DOI: 10.1016/0045-7949(89)90227-7