Contact stresses in an infinite plate containing a rigid circular inclusion under thermal loads

2001 ◽  
Vol 152 (1-4) ◽  
pp. 95-108 ◽  
Author(s):  
C. K. Chao ◽  
K. W. Chang
Keyword(s):  
Infinite Plate ◽  
Circular Inclusion ◽  
Contact Stresses ◽  
Thermal Loads ◽  
Rigid Circular Inclusion

On Some Problems in Bending of Thick Circular Plates on an Elastic Foundation

1956 ◽  
Vol 23 (2) ◽  
pp. 195-200
Author(s):  
Daniel Frederick
Keyword(s):  
Circular Plate ◽  
Elastic Foundation ◽  
Classical Theory ◽  
Infinite Plate ◽  
Circular Inclusion ◽  
Circular Plates ◽  
Axially Symmetric ◽  
Governing Equations ◽  
Uniform Loading ◽  
Rigid Circular Inclusion

Abstract The governing equations and solutions for the nonsymmetrical bending of circular plates resting on an elastic foundation are presented using the theory developed by E. Reissner. Also included are two examples in which numerical comparisons have been made with the predictions of the classical theory. These are (a) the axially symmetric bending of a finite circular plate on an elastic foundation under a partial uniform loading, and (b) the nonsymmetric bending of an infinite plate on an elastic foundation with a rigid circular inclusion.

Stress concentration in viscoelastic orthotropic plate with rigid circular inclusion

1997 ◽  
Vol 33 (8) ◽  
pp. 660-668 ◽  
Author(s):  
I. Yu. Podil’chuk
Keyword(s):  
Stress Concentration ◽  
Orthotropic Plate ◽  
Circular Inclusion ◽  
Rigid Circular Inclusion

Pressurized Cylindrical Shell With a Rigid Circular Inclusion

1978 ◽  
Vol 100 (2) ◽  
pp. 158-163 ◽  
Author(s):  
D. H. Bonde ◽  
K. P. Rao
Keyword(s):  
Differential Equation ◽  
Cylindrical Shell ◽  
Shallow Shell ◽  
Circular Inclusion ◽  
Hankel Functions ◽  
Curvature Parameter ◽  
Shell Equations ◽  
Limiting Case ◽  
Rigid Circular Inclusion ◽  
Good Agreement

The effect of a rigid circular inclusion on stresses in a cylindrical shell subjected to internal pressure has been studied. The two linear shallow shell equations governing the behavior of a cylindrical shell are converted into a single differential equation involving a curvature parameter and a potential function in nondimensionalized form. The solution in terms of Hankel functions is used to find membrane and bending stressses. Boundary conditions at the inclusion shell junction are expressed in a simple form involving the in-plane strains and change of curvature. Good agreement has been obtained for the limiting case of a flat plate. The shell results are plotted in nondimensional form for ready use.

Effects of a Rigid Circular Inclusion on States of Twisting and Shearing in Shallow Spherical Shells

1982 ◽  
Vol 49 (2) ◽  
pp. 442-443 ◽  
Author(s):  
E. Reissner ◽  
J. E. Reissner
Keyword(s):  
Circular Inclusion ◽  
Spherical Shells ◽  
Rigid Circular Inclusion

Stresses in a Spherical Shell With a Circular Elastic Inclusion

1974 ◽  
Vol 96 (3) ◽  
pp. 228-233
Author(s):  
P. Prakash ◽  
K. P. Rao
Keyword(s):  
Differential Equations ◽  
Spherical Shell ◽  
Elastic Inclusion ◽  
Circular Inclusion ◽  
Shallow Spherical Shell ◽  
Spherical Shells ◽  
Hankel Functions ◽  
Circular Elastic Inclusion ◽  
Rigid Circular Inclusion

The problem of a circular elastic inclusion in a thin pressurized spherical shell is considered. Using Reissner’s differential equations governing the behavior of a thin shallow spherical shell, the solutions for the two regions are obtained in terms of Bessel and Hankel functions. Particular cases of a rigid circular inclusion free to move with the shell and a clamped rigid circular inclusion are also considered. Results are presented in nondimensional form which will greatly facilitate their use in the design of spherical shells containing a rigid or an elastic inclusion.

Contact Stresses in an Infinite Plate Containing a Smooth Rigid Elliptic Insert

1964 ◽  
Vol 31 (4) ◽  
pp. 703-704 ◽  
Author(s):  
H. B. Wilson
Keyword(s):  
Infinite Plate ◽  
Contact Stresses

Contact stresses in an infinite plate containing a smooth circular insert under thermal load

2004 ◽  
Vol 168 (3-4) ◽  
pp. 195-212 ◽  
Author(s):  
C. K. Chao ◽  
F. M. Chen
Keyword(s):  
Thermal Load ◽  
Infinite Plate ◽  
Contact Stresses
Sign in / Sign up

Export Citation Format

Share Document