Implementation of a new expression for the search direction in simulations of structures with buckling and post-buckling: ”Two-Scale Impedance”

Peña, Larry; Hinojosa, Jorge

doi:10.1016/j.cam.2021.113799

Cited by 1 publication

(1 citation statement)

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“…In order to improve the performances of the mixed strategy, industrial problems have been analyzed by means of a two-scale approximation of Schur's complement as a Robin condition in the local model [41,42] being applied in models of an aircraft turbine blade, or other applications such as mechanical and hydraulic fracture modeling [35,43].…”

Section: Introductionmentioning

confidence: 99%

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

Jaque-Zurita,

Hinojosa,

Fuenzalida-Henríquez

2023

Mathematics

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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.

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