Preasymptotic Performance of Modified Mixed Finite Element Schemes for Plates

Authors

  • K. Weinberg

Abstract

This paper is devoted to numerical investigations on shear-locking free finite element methods for Reißner-Mindlin plates recently introduced in mathematical literature. We verify and improve theoretically predicted convergence rates and provide a technique to handle preasymptotic instabilities. The approximation of stress resultants is monitored by benchmark computation. Moreover we give experimental evidence that a new adaptive automatic mesh-refining algorithm yield superior approximations. Summarizing our comprehensive numerical studies by some typical examples we deduce recommendations for employing the modified mixed finite element schemes in engineering practice.

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Published

2019-10-10

How to Cite

Weinberg, K. (2019) “Preasymptotic Performance of Modified Mixed Finite Element Schemes for Plates”, Technische Mechanik - European Journal of Engineering Mechanics, 20(3), pp. 251–264. Available at: https://journals.ub.ovgu.de/index.php/techmech/article/view/1099 (Accessed: 5 November 2024).

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