Direct Evaluation of Nonlinear Gradient Elasticity in 2D with C1 Continuous Discretization Methods |
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| Authors: | Paul Fischer Julia Mergheim Paul Steinmann |
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| Institution: | Lehrstuhl für Technische Mechanik, Universität Erlangen-Nürnberg, Egerlandstraße 5, 91058 Erlangen |
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| Abstract: | In this contribution, we present a study on the performance of four different subparametric triangular finite element formulations for linear and nonlinear strain gradient elastic continua. Fully C1 and nonconforming C* finite elements are considered for a numerical analysis. The results are demonstrated by means of two computational examples together with the L2, H1 and H2 error norms. An interesting aspect concerning the linear geometry approximation is revealed. (© 2010 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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