A hierarchically enhanced recovery-based error estimator for bidimensional elastoplastic modelling by generalized finite element approach

Hsu, Yang Shang

doi:10.1007/s00707-020-02840-2

Cited by 4 publications

(3 citation statements)

References 68 publications

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“…This modification, in general, doesn't penalize the recovered stresses description but enhances the computational efficiency. Other works where recovery‐based error estimators are proposed under the G/XFEM approach can be found in References 38‐46.…”

Section: Introductionmentioning

confidence: 99%

A novel application of recovered stresses in stress intensity factors extraction methods for the generalized/extended finite element method

Lins,

Fonseca,

Barros

2023

Numerical Meth Engineering

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SummaryAn efficient improvement to compute Stress Intensity Factors (SIFs) in two‐dimensional fracture mechanics problems solved by Generalized/eXtended Finite Element Method and Stable Generalized Finite Element Method is proposed. A stress field obtained by a recovery procedure based on a locally weighted projection of the approximate stresses, is used in the formulation of two energy‐based SIFs extraction methods: the Contour Integral Method (CIM) and the Interaction Integral strategy. The accuracy and the path independence feature of the proposed approach are investigated in three numerical examples, considering crack opening modes I and II, different crack orientations and the presence of holes. The results demonstrate that the recovered stresses significantly improve the accuracy of the CIM and ensure a notable decrease in SIFs variation for different integration paths. On the other hand, an equivalent impact is not observed for the Interaction Integral strategy.

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Section: Introductionmentioning

confidence: 99%

A novel application of recovered stresses in stress intensity factors extraction methods for the generalized/extended finite element method

Lins,

Fonseca,

Barros

2023

Numerical Meth Engineering

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“…Such as plane frame analyses, 14 free vibration analysis, 15,16 transient elastoplastic analysis, 17,18 and error estimator. 19 The swarm techniques, such as the particle swarm optimization (PSO) and genetic algorithms (GA), are widely used in engineering applications. These techniques have already been employed for large amount of structure engineering analysis and they demonstrate competitiveness to obtained satisfactory results.…”

Section: Introductionmentioning

confidence: 99%

“…Such as plane frame analyses, 14 free vibration analysis, 15,16 transient elastoplastic analysis, 17,18 and error estimator. 19…”

Section: Introductionmentioning

confidence: 99%

Numerical approach based on particle swarm technique for optimization of nonlinear buried pipeline on tensionless foundation

Shang,

Deitos,

Ulrich

2023

Proceedings of the Institution of Mechanical Engineers, Part C:

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This work aims to contribute to the development of numerical approach for optimization of buried pipeline by using finite element (FE) method and particle swarm optimization (PSO), considering static analysis and material hardening. The buried pipeline is discretized by finite element approach, constituted by Euler-Bernoulli three nodes beam element, while the soil-structure interaction is modeled by Winker-type tensionless foundation. Moreover, the tensionless foundation is discretized by spring element in the numerical model. The material nonlinearity behavior is analyzed by Von Mises isotropic hardening model. In the numerical approach, this model is solved by stress increment procedure. Furthermore, the critical loading and optimum wall thickness, that leads to optimized condition, are determined using swarm techniques. The cost function is formulated using evaluated stress and target stress, more, the calculated error is minimized by using swarm techniques for single-variable and two-variable optimization. Several applications are carried out by considering several soil conditions, boundary conditions and loading types. As a novelty, the soil random stiffness is included in the numerical model, where the optimum wall thickness and critical loading are evaluated considering material nonlinearity. The performance of finite element particle swarm technique is also compared to finite element genetic algorithms technique. The results demonstrate the effectiveness of proposed numerical approach for nonlinear buried pipeline optimization.

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Shape sensing for thin-shell spaceborne antennas with adaptive isogeometric analysis and inverse finite element method

Yu,

Wang,

et al. 2023

Thin-Walled Structures

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A hierarchically enhanced recovery-based error estimator for bidimensional elastoplastic modelling by generalized finite element approach

Cited by 4 publications

References 68 publications

A novel application of recovered stresses in stress intensity factors extraction methods for the generalized/extended finite element method

A novel application of recovered stresses in stress intensity factors extraction methods for the generalized/extended finite element method

Numerical approach based on particle swarm technique for optimization of nonlinear buried pipeline on tensionless foundation

Shape sensing for thin-shell spaceborne antennas with adaptive isogeometric analysis and inverse finite element method

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