Elasticity Solutions for Sandwich Arches considering Permeation Effect of Adhesive

Huo, Ruili; Liu, Yichen; Wu, Peng; Fang, Hai; Liu, Weiqing; Zhou, Ding

doi:10.1155/2020/7358930

Cited by 5 publications

(4 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The depth direction is indicated by h, and the scanning surface depth is h = 0mm. C scanning of the steel plate [14] is accomplished by the phased array probe. The C-scan image is shown in Fig.…”

Section: C-scan Results Of Pautmentioning

confidence: 99%

Research on 3D Defect Reconstruction in Plate with Phased Array Ultrasonic Test (PAUT)

Zheng

et al. 2022

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

In order to clarify the distribution and shape information of the defects inside the workpiece, it has become a new industrial testing requirement to display the defects more intuitively in three dimensions(3D). In this paper, by introducing 3D volume rendering method, the expansion of PAUT from 2D to 3D is realized. The method is used to reconstruct specific “gu-shaped [[CHECK_DOUBLEQUOT_ENT]] (“Gu” is the Pinyin in Chinese characters, and at the same time, “Gu” is the shape of the defect in the plate discussed in the paper.) defects, and the results of reconstruction are compared with actual defects. By using ultrasonic phased array focusing to detect defect C-scan images of different depths, the collected C-scan images were preprocessed and reconstructed according to the defect contour by volume rendering. The results show that the defect morphology with different depths can be well obtained by focused detection, and the reconstruction effect is good, which is consistent with the actual defect.

show abstract

Section: C-scan Results Of Pautmentioning

confidence: 99%

Research on 3D Defect Reconstruction in Plate with Phased Array Ultrasonic Test (PAUT)

Zheng

et al. 2022

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

show abstract

“…To construct admissible functions (φ li (x, y)) for a side-cracked plate, the present approach proposes p l for Equation (10) as…”

Section: Admissible Functionsmentioning

confidence: 99%

“…Most of the relevant studies in the literature have analyzed intact flat plates. Analytical solutions based on plate theories and the three-dimensional elasticity theory have been proposed for the vibration of rectangular plates with two simply supported opposite edges and four simply supported faces, respectively [5][6][7][8][9][10][11]. Moreover, solutions for the vibration of rectangular plates under different boundary conditions have been reported using various numerical approaches, such as the Ritz method [12][13][14], differential quadrature method [15][16][17], mesh-free method [18][19][20], and finite-element method (FEM) [21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Three-Dimensional Free Vibration Analyses of Preloaded Cracked Plates of Functionally Graded Materials via the MLS-Ritz Method

Huang

Lee

et al. 2021

Materials

View full text Add to dashboard Cite

In this study, the moving least squares (MLS)-Ritz method, which involves combining the Ritz method with admissible functions established using the MLS approach, was used to predict the vibration frequencies of cracked functionally graded material (FGM) plates under static loading on the basis of the three-dimensional elasticity theory. Sets of crack functions are proposed to enrich a set of polynomial functions for constructing admissible functions that represent displacement and slope discontinuities across a crack and appropriate stress singularity behaviors near a crack front. These crack functions enhance the Ritz method in terms of its ability to identify a crack in a plate. Convergence studies of frequencies and comparisons with published results were conducted to demonstrate the correctness and accuracy of the proposed solutions. The proposed approach was also employed for accurately determining the frequencies of cantilevered and simply supported side-cracked rectangular FGM plates and cantilevered internally cracked skewed rhombic FGM plates under uniaxial normal traction. Moreover, the effects of the volume fractions of the FGM constituents, crack configurations, and traction magnitudes on the vibration frequencies of cracked FGM plates were investigated.

show abstract

“…Based on three-dimensional elasticity theory, Vel and Batra [ 28 ] used the power series method to construct solutions for the vibrations of FGM rectangular plates, while Reddy and Cheng [ 29 ] employed an asymptotic approach along with a transfer matrix. Huo et al [ 30 ] employed the recursive matrix method to develop the solutions for the vibrations of FGM sandwich plates.…”

Section: Introductionmentioning

confidence: 99%

Analytical Solutions Based on Fourier Cosine Series for the Free Vibrations of Functionally Graded Material Rectangular Mindlin Plates

Huang

2020

Materials

View full text Add to dashboard Cite

This study aimed to develop series analytical solutions based on the Mindlin plate theory for the free vibrations of functionally graded material (FGM) rectangular plates. The material properties of FGM rectangular plates are assumed to vary along their thickness, and the volume fractions of the plate constituents are defined by a simple power-law function. The series solutions consist of the Fourier cosine series and auxiliary functions of polynomials. The series solutions were established by satisfying governing equations and boundary conditions in the expanded space of the Fourier cosine series. The proposed solutions were validated through comprehensive convergence studies on the first six vibration frequencies of square plates under four combinations of boundary conditions and through comparison of the obtained convergent results with those in the literature. The convergence studies indicated that the solutions obtained for different modes could converge from the upper or lower bounds to the exact values or in an oscillatory manner. The present solutions were further employed to determine the first six vibration frequencies of FGM rectangular plates with various aspect ratios, thickness-to-width ratios, distributions of material properties and combinations of boundary conditions.

show abstract

Elasticity Solutions for Sandwich Arches considering Permeation Effect of Adhesive

Cited by 5 publications

References 22 publications

Research on 3D Defect Reconstruction in Plate with Phased Array Ultrasonic Test (PAUT)

Research on 3D Defect Reconstruction in Plate with Phased Array Ultrasonic Test (PAUT)

Three-Dimensional Free Vibration Analyses of Preloaded Cracked Plates of Functionally Graded Materials via the MLS-Ritz Method

Analytical Solutions Based on Fourier Cosine Series for the Free Vibrations of Functionally Graded Material Rectangular Mindlin Plates

Contact Info

Product

Resources

About