Summary
Starting from the variational principle with the so-called hybrid stress method the trial functions for the stresses have now to fulfill the Beltrami-equations, that means also the compatibility equations for the strains. So the divergence theorem can be applied, and one arrives at a pure boundary formulation in the sense of Trefftz’s method. Beside the resulting variational formulation different regularizations of the interelement conditions are investigated by numerical tests. Two 3d-examples are presented, one to show the effects on distorted elements and the other for numerical comparison of the test of a composite box girder with inner steel flanges. The numerical efficiency in comparing with competing finite elements is promising and stimulates further research.
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References
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© 1991 Springer-Verlag Berlin Heidelberg
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Stein, E., Peters, K. (1991). A New Boundary-Type Finite Element for 2D- and 3D-Elastic Solids. In: Oñate, E., Periaux, J., Samuelsson, A. (eds) The finite element method in the 1990’s. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-10326-5_5
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DOI: https://doi.org/10.1007/978-3-662-10326-5_5
Publisher Name: Springer, Berlin, Heidelberg
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