Adaptive quadtree edge-based smoothed finite element method for limit state analysis of structures

This study presents an efficient numerical approach for pseudo-lower bound limit analysis of structures. The total stress field is decomposed into two components: an elastic component associated with the safety factor and a self-equilibrating residual component. Subsequently, equilibrium conditions...

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Vydáno v:International journal of mechanics and materials in design Ročník 20; číslo 6; s. 1191 - 1207
Hlavní autoři: Ho, Phuc L. H., Lee, Changkye
Médium: Journal Article
Jazyk:angličtina
Vydáno: Dordrecht Springer Netherlands 01.12.2024
Springer Nature B.V
Témata:
Algorithms
Approximation
Boundary conditions
Characterization and Evaluation of Materials
Classical Mechanics
Engineering
Engineering Design
Equilibrium conditions
Finite element analysis
Finite element method
Grid refinement (mathematics)
Kinematics
Limit analysis
Limit load
Limit states
Load
Lower bounds
Optimization
Residual stress
Safety factors
Solid Mechanics
Stress distribution
Yield stress
Smoothed finite element method
Adaptive quadtree refinement
Mean value basis function
Limit analysis
ISSN:1569-1713, 1573-8841
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Shrnutí:This study presents an efficient numerical approach for pseudo-lower bound limit analysis of structures. The total stress field is decomposed into two components: an elastic component associated with the safety factor and a self-equilibrating residual component. Subsequently, equilibrium conditions within the optimization problem are satisfied in a weak manner. The application of the adaptive quadtree edge-based smoothed finite element method (ES-FEM), combined with the transformation into the second-order cone programming (SOCP) form, ensures the resulting optimization problem remains minimal in size. Moreover, employing a yield stress-based adaptive strategy in the proposed procedure either accurately provides limit loads with low computational effort or effectively predicts the collapse mechanism through the concentration of elements after mesh refinement progress. The investigation of a series of numerical tests confirms the effectiveness and reliability of the proposed method.
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ISSN:1569-1713
1573-8841
DOI:10.1007/s10999-024-09716-6