Effect of the layer inhomogeneity on the distribution of stresses and displacements in an elastic multilayer cylinder

2016 ◽  
Vol 228 (8) ◽  
pp. 2865-2877 ◽  
Author(s):  
Lyudmyla Tokova ◽  
Anatoliy Yasinskyy ◽  
Chien-Ching Ma
1985 ◽  
Vol 22 (3) ◽  
pp. 182
Author(s):  
Li Yin ◽  
Wang Zhi-Hao ◽  
Qiu Xi-ding ◽  
Wang Qing-nian

1955 ◽  
Vol 22 (1) ◽  
pp. 129
Author(s):  
S. Woinowsky-Krieger

Abstract The semicircular plate subjected to bending usually is considered as a particular case of a sectorial plate and one introduces polar co-ordinates to discuss the deflection of the plate and the corresponding distribution of stresses. If the semicircular plate is clamped along the boundary the application of approximate methods becomes necessary to this end. It is worthy of note that a rather simple exact solution can be given in this latter case by making use of bipolar instead of polar co-ordinates.


1955 ◽  
Vol 22 (2) ◽  
pp. 255-259
Author(s):  
H. T. Johnson

Abstract An approximate solution for the distribution of stresses in a rotating prismatic shaft, of triangular cross section, is presented in this paper. A general method is employed which may be applied in obtaining approximate solutions for the stress distribution for rotating prismatic shapes, for the cases of either generalized plane stress or plane strain. Polynomials are used which exactly satisfy the biharmonic equation and the symmetry conditions, and which approximately satisfy the boundary conditions.


2019 ◽  
Vol 7 (1) ◽  
pp. 49-60
Author(s):  
Оксана Богомолова ◽  
Oksana Bogomolova ◽  
Андрей Ушаков ◽  
Andrej Ushakov

The paper presents the results of a study on the distribution of stresses on the contours of underground workings, the cross section of which has the form of a trapezoid and an ellipse. The distribution of stresses at the points of workings contours is obtained at the given values of uniform pressure and the lateral expansion coefficient of the rock. The graphic images of stress diagrams acting on the contours of the considered workings are given.


2017 ◽  
Vol 8 (2) ◽  
pp. 15-26 ◽  
Author(s):  
Aleksandr Bogomolov ◽  
◽  
Oksana Bogomolova ◽  
Genrikh Abramov ◽  
Andrei Pristanskov

F1000Research ◽  
2021 ◽  
Vol 8 ◽  
pp. 1020
Author(s):  
Omnia Nabil ◽  
Carl Hany Halim ◽  
Ashraf Hassan Mokhtar

Background: The flat occlusal preparation design (FOD) of posterior teeth offers promising results of fracture resistance and stress distribution, but its application in vital teeth is limited as there may be a danger of pulp injury. Although this danger is omitted in endodontically treated teeth, there is no research work assessing the impact of FOD on the fracture resistance and distribution of stresses among these teeth. The aim of this study was to assess the impact of FOD of endodontically treated molars on the fracture resistance and distribution of stresses among a ceramic crown-molar structure when compared to the two planes occlusal preparation design (TOD). Methods: 20 human mandibular molars were endodontically treated and distributed equally to two groups: Group I (TOD) and Group II (FOD). Ceramic CAD/CAM milled lithium disilicate (IPS e.max CAD) crowns were produced for all preparations and adhered using self-adhesive resin cement. Using a universal testing machine, the fracture resistance test was performed. The fractured samples were examined using a stereomicroscope and scanning electron microscope to determine modes of failure. Stress distribution was evaluated by 3D finite element analysis, which was performed on digital models of endodontically treated mandibular molars (one model for each design). Results: Group II recorded statistically non-significant higher fracture resistance mean values (3107.2± 604.9 N) than Group I mean values (2962.6 ±524.27 N) as indicated by Student’s t-test (t=0.55, p= 0.57). Also, Group II resulted in more favorable failure mode as compared to Group I. Both preparation designs yielded low von-Mises stresses within the factor of safety. However, the stress distribution among different layers of the model differed. Conclusions: FOD having comparable fracture strength to TOD and a more favorable fracture behavior can be used for the preparation of endodontically treated molars.


Sign in / Sign up

Export Citation Format

Share Document