Free vibration analysis of circular and annular thin plates based on crack characteristics

Gönenli, Can; Daş, Oğuzhan

doi:10.31181/rme20016032022g

Cited by 7 publications

(2 citation statements)

References 11 publications

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“…For example, in Zachariah et al [2], an application of Aramid/Carbon fiber-reinforced polymer hybrid thin laminate for enhancing static and dynamic transverse loading behaviour was established and investigated, and its the solution was discussed. Gonenli and Das investigated the effect of fractures on the free vibration response of thin circular and annular plates in [3]. In [4], Lal et al discussed, using various numerical examples, discontinuities, like voids, soft and hard inclusions of the intensity factor of mode stress, fracture growth and the energy release rate of Abdou et al [7]- [8] contain supplementary information on the solution of integral/integro differential equations with singular kernels taking a Cauchy form When the kernel assumes a closed curvilinear hole, a second variety of integral/integro differential equation results.…”

Section: Introductionmentioning

confidence: 99%

Untitled

2024

appl. Math. Inf. Sci.

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This paper reports on a new study of a flexible plate reduced by a curvilinear slot with the cavity transported conformally to the right half-plane with complex constant parameters of the rational mapping function. Some figures of the conformal mapping for different values of complex constants were also obtained. Some special and important cases have been derived. Also, a closed form of the two Gaursat functions was derived using the complex variable method for the first and second fundamental problems. This is done by converting the first and second basic equations, in the presence of heat, into an integral differential equation in the right half plane with a Cauchy kernel. In addition, the researcher was able to discuss some important applications while studying the effect of temperature in each case. All calculations and computations of various stress components for each application are performed using the Maple 18 program. This study differs from previously published literature, which had areas mapped identically outside or inside the unit circle.

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Section: Introductionmentioning

confidence: 99%

Untitled

2024

appl. Math. Inf. Sci.

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“…Furthermore, rather than being solitary or distinctive elements, the cracks can be other elements, demonstrating adaptability and other benefits. In the work of Gonenli and Das (2022), the cracks are modeled independently to explore the dynamic behavior of the damaged circular constructions, taking into account horizontal and vertical orientations, ten distinct positions, and four fracture sizes. To explore the influence of fracture directions on circular thin plates, vertical and horizontal oriented cracks are inserted in the middle between the outer and inner borders.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of hydraulic fracture height using cohesive zone method

Tung

Nguyen

2022

J Petrol Explor Prod Technol

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Hydraulic fracturing is a popular method used in the petroleum industry to increase the well performance by improving the permeability of the reservoir. However, while there has been extensive research on the development of the length of the fracture, the fractured height has been frequently assumed to be equal to the reservoir thickness. The objective of this paper is to study the influence of formation rock characteristics and the impact of underground stress state on the development of the fracture height. To achieve this objective, a finite element model was built using a cohesive zone method to predict the development of fracture height in time and space. Different scenarios were then effectuated by varying the values of the primary formation variables which are the Young’s modulus, the porosity, the Poisson ratio, the fracture energy, and the maximum horizontal stress of the reservoir and of the beddings. This research therefore covered principally uncontrolled factors which are the formation properties and stress state underground, which contribute mostly to the erroneous prediction in fracture height. The findings revealed that the fracture height was strongly influenced by the properties of the formation and of the adjacent layers. However, the influence levels are not the same for different kinds of properties. This study showed that the most influential mechanical property of the rock on the fracture height is the Young’s modulus. Regarding the porosity, its effect on the fracture height is extremely small. However, it is worth noting that the porosity is still an important parameter in hydraulic fracturing because it can be used to estimate others parameters and to model the development of fracture geometry which are width, length, and height. Practical suggestions for real-life hydraulic fracturing jobs can be deduced from this study, in order to control the fracture height as accurately as possible, and to decrease financial cost by concentrating mostly on the high influential factors instead of doing all kinds of tests for other less influential mechanical properties of the rock.

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Efficient machine-learning algorithm applied to predict the transient shock reaction of the elastic structure partially rested on the viscoelastic substrate

Yang

Mehrabi

et al. 2023

Mechanics of Advanced Materials and Structures

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Free vibration analysis of circular and annular thin plates based on crack characteristics

Cited by 7 publications

References 11 publications

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Numerical simulation of hydraulic fracture height using cohesive zone method

Efficient machine-learning algorithm applied to predict the transient shock reaction of the elastic structure partially rested on the viscoelastic substrate

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