A linearity-preserving technique for finite volume schemes of anisotropic diffusion problems on polygonal meshes

Cheng, Dong; Kang, Tong

doi:10.1016/j.matcom.2022.05.011

Cited by 2 publications

(1 citation statement)

References 36 publications

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“…According to the results obtained in various techniques, the mesh-free finite volume (MFV) approach stays a pledging practice to conveniently solve diverse equations concerning the composite plates. The efficiency of the MFV has been approved in several studies (Asadi and Ataie-Ashtiani, 2021; Dong and Kang, 2022; Ejabati and Fallah, 2021, 2022; Fallah and Delzendeh, 2018; Grosjean and Maday, 2021; Jamshidi and Fallah, 2021; Lashkariani and Firoozjaee, 2021; Molaee and Shahrezaee, 2022; Pan et al, 2022). Regarding vibration control, Jamshidi and Jafari (2021) examined the vibration of piezoelectric layers.…”

Section: Introductionmentioning

confidence: 99%

Probabilistic reliability analysis for active vibration control of piezoelectric laminated composite plates using mesh-free finite volume method

Badeleh

Fallah

2022

Journal of Intelligent Material Systems and Structures

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The implementation of deterministic design approaches in the presence of uncertainty is an adequate design task. Probabilistic methods are then used in structural design procedures, offering structural safety predictions. In this study, reliability-based analysis of a piezoelectric laminated composite plate subjected to the mechanical loads was investigated, accounting for the epistemic source of uncertainty. Material properties of the plate were considered temperature-dependent. The sophisticated mesh-free finite volume approach was employed to actively control the vibration of the temperature-dependent piezoelectric laminated composite plate through the first-order shear deformation principles. The induced vibration was treated as a non-stationary random process, and the generalized failure index was estimated using the first-passage probability concept by adopting the novel asymptotic sampling technique. The veracity of the suggested model was corroborated by alternate approaches in the literature, comprising the finite element approach. Furthermore, the temperature-dependent piezoelectric laminated composite plate with different ply orientations was considered to assess the safety index variation against changes in the ambient temperature and the laminate stacking orientation. The obtained results revealed that with increasing temperature, the reliability of the composite plate reduced. It was also realized that the reliability index is directly correlated with the piezoelectric voltage.

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