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

The Effect of a Rigid Elliptic Inclusion on the Bending of a Thick Elastic Plate

1961 ◽  
Vol 28 (3) ◽  
pp. 379-382
Author(s):  
Fu Chow
Keyword(s):  
Stress Concentration ◽  
Elastic Plate ◽  
Plate Theory ◽  
Circular Inclusion ◽  
Elliptic Inclusion ◽  
Focal Distance ◽  
Classical Plate Theory ◽  
Concentration Factors ◽  
Stress Concentration Factors ◽  
Rigid Circular Inclusion

The effect of a rigid elliptic inclusion on both plain bending and pure twist of a thick elastic plate is investigated on the basis of Reissner’s plate theory [1, 2]. Comparison is made for the limiting cases of vanishing focal distance of the elliptic inclusion (a rigid circular inclusion), and vanishing thickness (Poisson-Kirchhoff plate theory), with the solutions of C. Pai [3], R. A. Hirsch [4], and M. Goland [5]. The stress-concentration factors are lower than those predicted by the classical plate theory.

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.

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.

Stress Concentration Reduction at a Reinforced Hole Loaded by a Bonded Circular Inclusion

2000 ◽  
Vol 68 (3) ◽  
pp. 405-411 ◽  
Author(s):  
K. T. Chau ◽  
X. X. Wei
Keyword(s):  
Stress Concentration ◽  
Theoretical Basis ◽  
Hoop Stress ◽  
Body Force ◽  
Circular Inclusion ◽  
Infinite Plane ◽  
Optimum Thickness ◽  
Hole Boundary ◽  
Pulling Force ◽  
Force Potential

This paper considers analytically the stress concentration in an infinite plane loaded by a circular inclusion, which is bonded to a reinforced hole in the plane. The pulling force of the inclusion is modeled by distributed body force. The infinite plane, the reinforced ring, and the circular inclusion can be of different elastic properties. Airy stress function with body force potential was used to solve the problem analytically. Numerical results show that the maximum tensile hoop stress at the hole boundary in the plane can be reduced to becoming negligible if an optimum stiffness ratio between the plane and the rivet is chosen (normally a harder material for the reinforced ring comparing to the plane is needed). An optimum thickness of the reinforced ring can also be determined to further reduce the hoop stress concentration. Therefore, the results of the present study provide a new theoretical basis for designing a reinforced rivet hole.

Sign in / Sign up

Export Citation Format

Share Document