Couple-stress Effects Near an Interior Hole of an Infinite Elastic Plane Subjected to a Concentrated Force

1973 ◽  
Vol 295 (5) ◽  
pp. 411-421
Author(s):  
Y.C. Hsu ◽  
W.J. Wang
Keyword(s):  
Couple Stress ◽  
Elastic Plane ◽  
Concentrated Force ◽  
Stress Effects

The Elastic Plane With a Circular Insert, Loaded by a Tangentially Directed Force

1962 ◽  
Vol 29 (2) ◽  
pp. 362-368 ◽  
Author(s):  
M. Hete´nyi ◽  
J. Dundurs
Keyword(s):  
Closed Form ◽  
Elastic Properties ◽  
Classical Theory ◽  
Theory Of Elasticity ◽  
Elastic Plane ◽  
Elementary Functions ◽  
Explicit Formulas ◽  
Concentrated Force

The problem treated is that of a plate of unlimited extent containing a circular insert and subjected to a concentrated force in the plane of the plate and in a direction tangential to the circle. The elastic properties of the insert are different from those of the plate, and a perfect bond is assumed between the two materials. The solution is exact within the classical theory of elasticity, and is in a closed form in terms of elementary functions. Explicit formulas are given for the components of stress in Cartesian co-ordinates, and also in polar co-ordinates at the circumference of the insert.

scholarly journals Magnetohydrodynamic effects on finite and infinite slider bearings

2019 ◽  
Vol 286 ◽  
pp. 07002
Author(s):  
M. Mouda ◽  
M. Nabhani ◽  
M. El Khlifi
Keyword(s):  
Magnetic Field ◽  
Finite Difference ◽  
Couple Stress ◽  
Type Equation ◽  
Transverse Magnetic ◽  
Two Dimensional ◽  
Stress Effects ◽  
Slider Bearings ◽  
Seidel Method ◽  
Couple Stress Fluids

This paper presents a numerical investigation of lubricating slider bearings with conducting couple stress fluids using externally applied magnetics fields. The modified two-dimensional magnetohydrodynamic couple stress Reynolds-type equation is obtained. This governing equation is resolved numerically by using finite difference scheme, which involves the Gauss–Seidel method to compute the bearing characteristics. Numerical results using different considered values of the couple stress and Hartman number are presented. These results demonstrate that the transverse magnetic field and couple stress effects are significant.

scholarly journals Inertia and Couple-Stress Effects in a Curvilinear Thrust Hydrostatic Bearing

2017 ◽  
Vol 22 (3) ◽  
pp. 759-767 ◽  
Author(s):  
A. Walicka ◽  
P. Jurczak ◽  
J. Falicki
Keyword(s):  
Couple Stress ◽  
Equations Of Motion ◽  
Inertia Effects ◽  
Numerical Examples ◽  
Thrust Bearings ◽  
Hydrostatic Bearing ◽  
Stress Effects ◽  
Pressure Distributions ◽  
Radial Thrust ◽  
Inertia Forces

AbstractThe flow of a couple-stress lubricant in a clearance of a curvilinear thrust hydrostatic bearing with impermeable walls is considered. The flow in the bearing clearance is considered with inertia forces. The equations of motion are solved by an averaged inertia method. As a result, the formulae for pressure distributions without and with inertia effects were obtained. Radial thrust bearings and spherical bearings are discussed as numerical examples. It is shown that inertia effects influence the bearing performance considerably.

Inner-outer expansion method for couple-stress effects

AIAA Journal ◽  
1964 ◽  
Vol 2 (8) ◽  
pp. 1511-1512 ◽  
Author(s):  
S. H. LAM ◽  
D. C. LEIGH
Keyword(s):  
Couple Stress ◽  
Expansion Method ◽  
Stress Effects ◽  
Outer Expansion

One Solution of Three-Dimensional Boundary Value Problems in the Couple-Stress Theory of Elasticity

1982 ◽  
Vol 49 (3) ◽  
pp. 519-524 ◽  
Author(s):  
M. Kishida ◽  
K. Sasaki ◽  
H. Hanzawa
Keyword(s):  
Boundary Value Problems ◽  
Couple Stress ◽  
Couple Stress Theory ◽  
Boundary Value ◽  
Boundary Integral ◽  
Boundary Integral Method ◽  
Concentrated Force ◽  
Fredholm Type ◽  
Stress Theory ◽  
Concentration Problem

This paper describes a numerical approach for elastic boundary value problems in the linear, couple-stress theory on the basis of the “indirect fictitious-boundary integral method.” In this approach we introduce appropriate potentials corresponding to those for a concentrated force and a couple in an infinite medium, and reduce the problem to solving the simultaneous Fredholm type integral equations of the first kind. As an example, the stress concentration problem is analyzed for a circular cylinder with a semicircular annular groove under uniaxial tension. The results are obtained for various values of parameters such as Poisson’s ratio ν, characteristic length l, and the ratio ηr of bending, twisting moduli.

Inertial MHD Couple Stress Effects on Infinitely Wide Slider Bearings

2015 ◽  
Vol 58 (2) ◽  
pp. 374-383 ◽  
Author(s):  
Mohamed Nabhani ◽  
Mohamed El Khlifi
Keyword(s):  
Couple Stress ◽  
Stress Effects ◽  
Slider Bearings

scholarly journals Couple-stress effects for the problem of a crack under concentrated shear loading

2011 ◽  
Vol 17 (5) ◽  
pp. 433-459 ◽  
Author(s):  
PA Gourgiotis ◽  
HG Georgiadis ◽  
MD Sifnaiou
Keyword(s):  
Couple Stress ◽  
Shear Loading ◽  
Stress Effects

Concentrated Force in an Elastically Embedded Disk

1963 ◽  
Vol 30 (4) ◽  
pp. 568-570 ◽  
Author(s):  
J. Dundurs
Keyword(s):  
Elastic Plane ◽  
Concentrated Force ◽  
Concentrated Forces

This paper deals with the concentrated force in a disk which is embedded in an unbounded elastic plane with different properties. The disk with its edge free of tractions and subjected to concentrated forces and moments is also discussed.

Sign in / Sign up

Export Citation Format

Share Document