Global–Local Non Intrusive Analysis with 1D to 3D Coupling: Application to Crack Propagation and Extension to Commercial Software

Matías Jaque-Zurita, Jorge Hinojosa and Ignacio Fuenzalida-Henríquez ()
Additional contact information
Matías Jaque-Zurita: Master of Science in Mechanical Engineering, Faculty of Engineering, Universidad de Talca, Campus Curicó, Curico 3340000, Chile
Jorge Hinojosa: Industrial Technologies Department, Faculty of Engineering, University of Talca, Campus Curicó, Curico 3340000, Chile
Ignacio Fuenzalida-Henríquez: Building Management and Engineering Department, Faculty of Engineering, University of Talca, Campus Curicó, Curico 3340000, Chile

Mathematics, 2023, vol. 11, issue 11, 1-25

Abstract: Computational simulation is a highly reliable tool used to solve structural analysis problems. In recent times, several techniques have been developed in the field of computational mechanics in order to analyze non-linearities in less time, helping decision-making when structures suffer damage. The global–local analysis is a technique to increase the efficiency of computational simulations by using a global model to obtain boundary conditions in a coupling zone imposed on a local model. Coupling can be performed through the primal–dual method, which is used for crack propagation using 2D and 3D models with fine meshes, thus saving computational time. However, it has not been implemented at a commercial level to analyze large structures such as multi-story buildings with focused non-linearities. In this work, a global–local analysis with non-intrusive methodology and simplified models was implemented in a cracked framed structure, using a 1D (global) and 3D (local) coupling considering crack propagation with primal–dual interface conditions. Different lengths of the local model were analyzed, studying their influence on the convergence of the problem, and compared with a 3D monolithic model to check the reliability of the results. The results show that the proposed methodology solves the problem with an error less than 10%. Furthermore, it was determined that the dimensions of the local model affect the convergence of the problem. This work also provides an implementation of the method for large structures containing focused non-linearities and using commercial software, reducing computational time for the cracked structural analysis.

Keywords: global–local; non-intrusive; computational simulation; crack growth; frame elements; 3D solids; coupling (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/11/2540/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/11/2540/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:11:p:2540-:d:1161476

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().