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Article

Solid Truss to Shell Numerical Homogenization of Prefabricated Composite Slabs

1
Research and Development Department, FEMat Sp. z o. o., Romana Maya 1, 61-371 Poznań, Poland
2
Department of Biosystems Engineering, Poznan University of Life Sciences, Wojska Polskiego 50, 60-627 Poznań, Poland
3
Department of Construction and Geoengineering, Poznan University of Life Sciences, Piątkowska 94 E, 60-649 Poznań, Poland
*
Author to whom correspondence should be addressed.
Academic Editors: Panagiotis G. Asteris and Luisa F. Cabeza
Materials 2021, 14(15), 4120; https://doi.org/10.3390/ma14154120
Received: 22 May 2021 / Revised: 19 July 2021 / Accepted: 22 July 2021 / Published: 23 July 2021
(This article belongs to the Special Issue Fiber-Reinforced Concrete: Design, Characterization, and Applications)
The need for quick and easy deflection calculations of various prefabricated slabs causes simplified procedures and numerical tools to be used more often. Modelling of full 3D finite element (FE) geometry of such plates is not only uneconomical but often requires the use of complex software and advanced numerical knowledge. Therefore, numerical homogenization is an excellent tool, which can be easily employed to simplify a model, especially when accurate modelling is not necessary. Homogenization allows for simplifying a computational model and replacing a complicated composite structure with a homogeneous plate. Here, a numerical homogenization method based on strain energy equivalence is derived. Based on the method proposed, the structure of the prefabricated concrete slabs reinforced with steel spatial trusses is homogenized to a single plate element with an effective stiffness. There is a complete equivalence between the full 3D FE model built with solid elements combined with truss structural elements and the simplified homogenized plate FE model. The method allows for the correct homogenization of any complex composite structures made of both solid and structural elements, without the need to perform advanced numerical analyses. The only requirement is a correctly formulated stiffness matrix of a representative volume element (RVE) and appropriate formulation of the transformation between kinematic constrains on the RVE boundary and generalized strains. View Full-Text
Keywords: numerical homogenization; prefabricated floor slab; concrete; composite structure; strain energy equivalence numerical homogenization; prefabricated floor slab; concrete; composite structure; strain energy equivalence
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MDPI and ACS Style

Staszak, N.; Garbowski, T.; Szymczak-Graczyk, A. Solid Truss to Shell Numerical Homogenization of Prefabricated Composite Slabs. Materials 2021, 14, 4120. https://doi.org/10.3390/ma14154120

AMA Style

Staszak N, Garbowski T, Szymczak-Graczyk A. Solid Truss to Shell Numerical Homogenization of Prefabricated Composite Slabs. Materials. 2021; 14(15):4120. https://doi.org/10.3390/ma14154120

Chicago/Turabian Style

Staszak, Natalia, Tomasz Garbowski, and Anna Szymczak-Graczyk. 2021. "Solid Truss to Shell Numerical Homogenization of Prefabricated Composite Slabs" Materials 14, no. 15: 4120. https://doi.org/10.3390/ma14154120

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