Summary
The paper presents the p-version of the so-called hybrid- Trefftz (HT) finite element model and shows its excellent suitability for adaptive solutions. The HT model uses assumed displacement fields, chosen so as to satisfy a priori the governing differential equations of the problem, and enforces the interelement continuity and the boundary conditions. Optional classes of functions are available for various singularities and stress concentrations and make unnecessary troublesome local refinement of FE meshes. A simple local a posteriori error estimator is provided for controling the predicted stresses. The new approach may be implemented in existing FE codes. The high practical efficiency is demonstrated on analysis of an involved plate bending problem.
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References
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Jirousek, J., ‘The hybrid-Trefftz finite element model and its application to plate bending’, Int. J. Num. Meth. Eng., 23, 651–693 (1986).
Jirousek, J., ‘The hybrid-Trefftz finite element model and its application to plate bending’, Int. J. Num. Meth. Eng., 23, 651–693 (1986).
Jirousek, J., ‘The hybrid-Trefftz model - A finite element model with special suitability to adaptive solutions and local effect calculations’, Finite Elements Methods for Plate and Shell Structures (edited by T.J.R. Hughes and E. Hinton), Pineridge Press, 1986, Vol. 1. Chapt. 9.
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© 1987 Martinus Nijhoff Publishers, Dordrecht
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Jirousek, J. (1987). A Simple Adaptive Scheme Based on a New Hybrid FE Model. In: Pande, G.N., Middleton, J. (eds) Numerical Techniques for Engineering Analysis and Design. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3653-9_32
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DOI: https://doi.org/10.1007/978-94-009-3653-9_32
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8134-4
Online ISBN: 978-94-009-3653-9
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