A FE-Based Macro-Element for the Assessment of Masonry Structures: Linear Static, Vibration, and Non-Linear Cyclic Analyses

A Finite Element (FE) based macro–element is described for the mechanical response of masonry structures within different ranges of analysis. The macro–element is composed of discrete rigid quadrilateral FE plates whose adjoining interfaces are connected through FE trusses. It allows representing bo...

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Main Authors: Luis C. M. da Silva, Gabriele Milani
Format: Article
Language:English
Published: MDPI AG 2022-01-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/12/3/1248
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author Luis C. M. da Silva
Gabriele Milani
author_facet Luis C. M. da Silva
Gabriele Milani
author_sort Luis C. M. da Silva
collection DOAJ
description A Finite Element (FE) based macro–element is described for the mechanical response of masonry structures within different ranges of analysis. The macro–element is composed of discrete rigid quadrilateral FE plates whose adjoining interfaces are connected through FE trusses. It allows representing both elasticity and strength orthotropy, full material nonlinearity and damage through a scalar–based model. The possibility of coupling with a so–called FE<sup>2</sup> (multi–scale) strategy is also addressed. Validation of the macro–element is conducted within linear static, vibration, and cyclic (nonlinear) problems, in which both static and dynamic ranges are explored. Results are compared with those retrieved from traditional FE continuous models. Advantages are highlighted, as well as its robustness to cope with convergence issues and suitability to be applied within more general and larger–scale scenarios, such as the analysis of anisotropic materials subjected to static and dynamic loading. Formal details are given for its reproducibility by academics and practitioners—eventually within other FE platforms—as the improved running times may be of utmost importance in dynamic problems or highly nonlinear (material) quasi–static analysis.
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spelling doaj.art-3090b4ddb0654edd99320b0fd4d773fa2023-11-23T15:54:23ZengMDPI AGApplied Sciences2076-34172022-01-01123124810.3390/app12031248A FE-Based Macro-Element for the Assessment of Masonry Structures: Linear Static, Vibration, and Non-Linear Cyclic AnalysesLuis C. M. da Silva0Gabriele Milani1Department A.B.C., Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milan, ItalyDepartment A.B.C., Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milan, ItalyA Finite Element (FE) based macro–element is described for the mechanical response of masonry structures within different ranges of analysis. The macro–element is composed of discrete rigid quadrilateral FE plates whose adjoining interfaces are connected through FE trusses. It allows representing both elasticity and strength orthotropy, full material nonlinearity and damage through a scalar–based model. The possibility of coupling with a so–called FE<sup>2</sup> (multi–scale) strategy is also addressed. Validation of the macro–element is conducted within linear static, vibration, and cyclic (nonlinear) problems, in which both static and dynamic ranges are explored. Results are compared with those retrieved from traditional FE continuous models. Advantages are highlighted, as well as its robustness to cope with convergence issues and suitability to be applied within more general and larger–scale scenarios, such as the analysis of anisotropic materials subjected to static and dynamic loading. Formal details are given for its reproducibility by academics and practitioners—eventually within other FE platforms—as the improved running times may be of utmost importance in dynamic problems or highly nonlinear (material) quasi–static analysis.https://www.mdpi.com/2076-3417/12/3/1248masonrydiscrete modelmacro–elementmulti–scalevibrationnon–linear cyclic analyses
spellingShingle Luis C. M. da Silva
Gabriele Milani
A FE-Based Macro-Element for the Assessment of Masonry Structures: Linear Static, Vibration, and Non-Linear Cyclic Analyses
Applied Sciences
masonry
discrete model
macro–element
multi–scale
vibration
non–linear cyclic analyses
title A FE-Based Macro-Element for the Assessment of Masonry Structures: Linear Static, Vibration, and Non-Linear Cyclic Analyses
title_full A FE-Based Macro-Element for the Assessment of Masonry Structures: Linear Static, Vibration, and Non-Linear Cyclic Analyses
title_fullStr A FE-Based Macro-Element for the Assessment of Masonry Structures: Linear Static, Vibration, and Non-Linear Cyclic Analyses
title_full_unstemmed A FE-Based Macro-Element for the Assessment of Masonry Structures: Linear Static, Vibration, and Non-Linear Cyclic Analyses
title_short A FE-Based Macro-Element for the Assessment of Masonry Structures: Linear Static, Vibration, and Non-Linear Cyclic Analyses
title_sort fe based macro element for the assessment of masonry structures linear static vibration and non linear cyclic analyses
topic masonry
discrete model
macro–element
multi–scale
vibration
non–linear cyclic analyses
url https://www.mdpi.com/2076-3417/12/3/1248
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