Reliability-based topology optimization for heterogeneous composite structures under interval and convex mixed uncertainties

Wang, Lei; Ni, Bowen; Wang, Xiaojun; Li, Zeshang

doi:10.1016/j.apm.2021.06.014

Cited by 26 publications

(4 citation statements)

References 51 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Y e = 0.5459 + 0.2219(α e /T) + 0.7656(α e /T) 2 − 1.5501(α e /T) 3 + 0.9562(α e /T) 4 (12) where α e is the crack depth of the collinear double crack considering the coupling effect equivalent to a single crack, which is calculated using the ABAQUS-FRANC3D interactive technique; T is the plate thickness; and R s is the collinear double-crack spacing ratio.…”

Section: Methodsmentioning

confidence: 99%

“…The performance function is a highly nonlinear implicit function, and traditional methods such as first-order and second-order moments can easily lead to low computational efficiency and poor accuracy in the results [11]. Therefore, the Monte Carlo method based on finite element software is usually used to calculate the structure reliability [12], except for the problem of small failure probability due to the limitation of the Monte Carlo simulation method itself. The accuracy of the calculation results depends on the number of calculation times of finite element software.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Fatigue Reliability Assessment for Orthotropic Steel Decks: Considering Multicrack Coupling Effects

Liu,

Wang

et al. 2024

Metals

View full text Add to dashboard Cite

Multiple fatigue cracks are generally present in practical engineering due to the existence of welding; the size and number of cracks of orthotropic steel bridge decks are greatly uncertain. The component failure conditions caused by these cracks may have correlations. Currently, it is still a challenging issue to develop a physical model of multiple fatigue crack propagation in bridge decks and perform a fatigue reliability assessment, which is also the motivation that drives the innovation of this study. A fatigue reliability evaluation method is presented for orthotropic steel bridge decks, considering the coupling effect of multiple cracks and the randomness of vehicle loading. A numerical simulation method for multifatigue crack growth is developed by combining the ABAQUS and FRANC3D programs. The equivalent crack depth under different spacing and depths of collinear cracks is calculated by using numerical simulation and the multicrack equivalent characterization method. The critical damage accumulation function of multiple fatigue cracks is established using linear elastic fracture mechanics. Subsequently, the critical damage accumulation function of multiple fatigue cracks is established based on linear elastic fracture mechanics. In order to solve the time-consuming problem of traditional Monte Carlo method, the iHL-RF method and AK-MCS method are developed for fatigue reliability analysis. The results show that compared with the single-crack model, the fatigue reliability of orthotropic steel deck will be crucially reduced considering the coupling effect of double cracks. The MCS, iHL-RF and AK-MCS methods can effectively solve the fatigue reliability analysis problem. Compared with the MCS method, the reliability calculation time based on AK-MCS method is significantly reduced. The AK-MCS method-based method reduces the time for calculating the reliability of orthotropic steel decks by 50% compared with the iHL-RF method. The reliability analysis of orthotropic steel deck bridge based on AK-MCS method is proved to be efficient and accurate.

show abstract

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Fatigue Reliability Assessment for Orthotropic Steel Decks: Considering Multicrack Coupling Effects

Liu,

Wang

et al. 2024

Metals

View full text Add to dashboard Cite

show abstract

“…And Wang et al (2021b) developed a novel dynamic RBTO framework for continuum structures via interval-process collocation and the first-passage theories. In addition, Wang et al (2021c) studied the RBTO for heterogeneous composite structures under interval and convex mixed uncertainties. Also, Yin et al (2021) proposed an efficient RBTO approach for the structural lightweight design of planar continuum structures.…”

Section: Classification According To Rbto Formulationsmentioning

confidence: 99%

“…The use of the RBTO model in composite materials is still in the initial stage. Several issues can be found in this area and need to be solved such as the optimization policies under stiffness and strength integrated failure modes, the hybrid reliability judgments under aleatory and epistemic uncertainties, the difficulties in global optimization and fast convergence for complex laminated structures, etc (Wang et al 2021c). Furthermore, the RBTO developments extended recently to microstructure applications where the components become smaller and smaller.…”

Section: Future Research Directionsmentioning

confidence: 99%

Two decades review of reliability-based topology optimization developments

Kharmanda¹,

Mulki²

2022

IncertFia

View full text Add to dashboard Cite

This review seeks to classify the different developments of the Reliability-Based Topology Optimization (RBTO) according to their formulations and methods. According to the RBTO formulations, two standpoints (topology and reliability standpoints) are generally treated, while according to methods, they are divided into loop and mixed methods. The different trends and gaps are discussed later. The selected publications over the last two decades (from December 2001 to December 2021) contain the term RBTO in their title and restricted to English language. There are several other publications, which have been written in other languages and some others containing the integration of the reliability analysis into topology optimization, but the RBTO was not included in their titles. These two types of publications are unfortunately not included in this review since it is the objective to provide the readers (especially the new researchers) a good guide (map) to the different RBTO developments and applications. Some additional publications considering other objective and constraint functions and dealing the RBTO with microstructural levels are also included since they were realized under the same period and containing the term of RBTO in their title. The first publication of the Reliability-Based Topology Optimization model was a technical report at Aalborg University in Denmark, published in December 2001. It was a new model where many critical discussions appeared between the topology optimization community and the reliability one during 2002 and 2003 (in several meetings and conferences). That led to delay the appearance of the first journal articles until 2004. According to the author's knowledge, more than 70 journal papers and more than 25 other publications (conference papers, chapters, reports... etc.) have been found during the last two decades. Almost 50% of journal papers have been published during the last four years which means that there is a strong interest to implement this model.

show abstract

Non-probabilistic reliability-based topology optimization against loading uncertainty field with a bounded field model

Zhan

Bai

2022

Struct Multidisc Optim

View full text Add to dashboard Cite

Reliability-based topology optimization for heterogeneous composite structures under interval and convex mixed uncertainties

Cited by 26 publications

References 51 publications

Fatigue Reliability Assessment for Orthotropic Steel Decks: Considering Multicrack Coupling Effects

Fatigue Reliability Assessment for Orthotropic Steel Decks: Considering Multicrack Coupling Effects

Two decades review of reliability-based topology optimization developments

Non-probabilistic reliability-based topology optimization against loading uncertainty field with a bounded field model

Contact Info

Product

Resources

About