Improved element solution to composite beams

Composite materials present challenging gaps to be studied due to their unique characteristics. The finite element method has been used to analyze composite materials subjected to the most distinctive situations. In the present work, the advantages of three element solutions studied previously are c...

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Bibliographic Details
Published in:Acta mechanica 2022-07, Vol.233 (7), p.2561-2593
Main Authors: Baier-Saip, Jürgen A., Baier, Pablo A., de Faria, Alfredo R., de Lima, André S., Baier, Herbert
Format: Article
Language:English
Subjects:
Classical and Continuum Physics
Composite beams
Composite materials
Computing time
Control
Dynamical Systems
Engineering
Engineering Fluid Dynamics
Engineering Thermodynamics
Failure analysis
Finite element analysis
Finite element method
Heat and Mass Transfer
Hypotheses
Locking
Original Paper
Polynomials
Shear strain
Shear stress
Solid Mechanics
Stiffness matrix
Theoretical and Applied Mechanics
Vibration
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Summary:Composite materials present challenging gaps to be studied due to their unique characteristics. The finite element method has been used to analyze composite materials subjected to the most distinctive situations. In the present work, the advantages of three element solutions studied previously are combined to develop a fourth element solution. First, decreasing the degree of the polynomials representing the axial displacement at the bottom and at the top surfaces circumvents shear locking in beams. Second, including the homogeneous solution ensures the continuity of the displacements between elements, but in this case the determination of the stiffness matrix requires a huge amount of computational time. However, it is shown that only modifications close to the original block diagonal matrix need to be considered, since far from the diagonal the contribution of the homogeneous solution is negligible. Additionally, a procedure is described to calculate a more accurate value for the stress σ z .
ISSN:0001-5970
1619-6937
DOI:10.1007/s00707-022-03240-4