Direct Evaluation of Nonlinear Gradient Elasticity in 2D with  C  1  Continuous Discretization Methods | Zendy

Fischer Paul | Zendy; Mergheim Julia | Zendy; Steinmann Paul | Zendy

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Direct Evaluation of Nonlinear Gradient Elasticity in 2D with C 1 Continuous Discretization Methods

Author(s) -

Fischer Paul,

Mergheim Julia,

Steinmann Paul

Publication year - 2010

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.201010272

Subject(s) - discretization , finite element method , nonlinear system , elasticity (physics) , mathematics , linear elasticity , nonlinear elasticity , finite strain theory , mathematical analysis , discretization error , geometry , physics , quantum mechanics , thermodynamics

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 C 1 and nonconforming C * finite elements are considered for a numerical analysis. The results are demonstrated by means of two computational examples together with the L 2 , H 1 and H 2 error norms. An interesting aspect concerning the linear geometry approximation is revealed. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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