An element‐based formulation for ES‐FEM and FS‐FEM models for implementation in standard solid mechanics finite element codes for 2D and 3D static analysis - Archive ouverte HAL Access content directly
Journal Articles International Journal for Numerical Methods in Engineering Year : 2023

An element‐based formulation for ES‐FEM and FS‐FEM models for implementation in standard solid mechanics finite element codes for 2D and 3D static analysis

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Abstract

Edge-based and face-based smoothed finite element methods (ES-FEM and FS-FEM, respectively) are modified versions of the finite element method allowing to achieve more accurate results and to reduce sensitivity to mesh distortion, at least for linear elements. These properties make the two methods very attractive. However, their implementation in a standard finite element code is nontrivial because it requires heavy and extensive modifications to the code architecture. In this article, we present an element-based formulation of ES-FEM and FS-FEM methods allowing to implement the two methods in a standard finite element code with no modifications to its architecture. Moreover, the element-based formulation permits to easily manage any type of element, especially in 3D models where, to the best of the authors' knowledge, only tetrahedral elements are used in FS-FEM applications found in the literature. Shape functions for non-simplex 3D elements are proposed in order to apply FS-FEM to any standard finite element.
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Origin : Publication funded by an institution
Licence : CC BY - Attribution

Dates and versions

hal-03956203 , version 1 (25-01-2023)

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Attribution - CC BY 4.0

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Cite

Daniele Colombo, Slah Drira, Ralf Frotscher, Manfred Staat. An element‐based formulation for ES‐FEM and FS‐FEM models for implementation in standard solid mechanics finite element codes for 2D and 3D static analysis. International Journal for Numerical Methods in Engineering, 2023, 124 (2), pp.402-433. ⟨10.1002/nme.7126⟩. ⟨hal-03956203⟩

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