Boundary Element Method applied to decision-making problems involving geometric variabilities in topology optimization

Oliveira, Hugo Luiz; Chateauneuf, Alaa; Leonel, Edson Denner

doi:10.1016/j.enganabound.2017.09.016

Cited by 10 publications

(4 citation statements)

References 39 publications

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“…Due to the effectiveness of the DBEM in fracture analysis, it has been extensively used in the research community mainly for problems involving 2D problems. Examples include topology optimisation [1], reliability analysis of structures subjected to fatigue [2], shape optimisation of hydrofoils [3], and the modelling of creep in concrete [4].…”

Section: Introductionmentioning

confidence: 99%

Reliability-based fracture analysis for plate bending problems with the dual boundary element method

Morse¹,

Khodaei²,

Aliabadi³

2020

FRACTURE AND DAMAGE MECHANICS: Theory, Simulation and Experiment

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A novel methodology is presented for the efficient reliability analysis of plate structures containing cracks with the Dual Boundary Element Method (DBEM). The derivatives of the DBEM plate formulations for the Crack Surface Displacement Extrapolation (CSDE) method have been derived for the first time and are used as part of an Implicit Differentiation Method (IDM) for the efficient calculation of Stress Intensity Factor (SIF) sensitivities. A numerical example is investigated in which results from the presented CSDE methodology are compared to those from the J-integral. The SIF sensitivities were used with the First-Order Reliability Method (FORM) to determine the reliability of a plate structure containing a crack. Results indicate that the proposed CSDE methodology is capable of providing estimates for reliability that are very similar to those provided by the J-integral. Given that the proposed CSDE methodology can be easier to implement, it could prove to be an effective alternative to the J-integral for the efficient reliability analysis of plate structures containing cracks.

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Section: Introductionmentioning

confidence: 99%

Reliability-based fracture analysis for plate bending problems with the dual boundary element method

Morse¹,

Khodaei²,

Aliabadi³

2020

FRACTURE AND DAMAGE MECHANICS: Theory, Simulation and Experiment

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“…The differential equation, which is defined over the entire problem domain, is transformed into a surface integral equation over the surfaces that enclosed entirely the problem domain. [13]- [17]. The surface integral equation can then be solved by discrediting the surfaces into smaller regions boundary elements, a major advantage of the boundary element method over the finite element method is that the discrimination occurs only on the surfaces rather than over the entire domain, and the number of boundary elements required is generally a lot less than the number of finite elements required.…”

Section: Introductionmentioning

confidence: 99%

Effect of Conductivity in Corrosion Problem Using Boundary Element Method and Genetic Algorithm

Aldlemy¹

2020

Kbes

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Boundary element method applications with inverse solution are used to apply the indirect analysis for modeling of corrosion problem. Laplace equation has been used to model the electrical potential in the electrolyte surface. In this paper a computer modeling has been developed to visualize the effect of conductivity value in corrosion problem. Genetic algorithm is used to create the conductivity value based on the mechanics of natural selection and genetics. The boundary element method is then calculating the potential value of the whole domain. FORTRAN and MATLAB program have been developed to calculate and visualize the potential distribution in the domain. Two-dimensional example problems are analyzed to demonstrate the application of the proposed boundary element modeling procedure.

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“…These advantages, and others, are discussed in more detail in previous works concerning sensitivity analyses with geometric variables involving: elastostatic structures [1,5,6], fatigue crack growth [7,8,9], creep [10], plate bending [11], and topology optimization [12].…”

Section: Introductionmentioning

confidence: 99%

A multi-fidelity boundary element method for structural reliability analysis with higher-order sensitivities

Morse

Khodaei

Aliabadi

2019

Engineering Analysis with Boundary Elements

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Boundary Element Method applied to decision-making problems involving geometric variabilities in topology optimization

Cited by 10 publications

References 39 publications

Reliability-based fracture analysis for plate bending problems with the dual boundary element method

Reliability-based fracture analysis for plate bending problems with the dual boundary element method

Effect of Conductivity in Corrosion Problem Using Boundary Element Method and Genetic Algorithm

A multi-fidelity boundary element method for structural reliability analysis with higher-order sensitivities

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