scholarly journals Plane strain problem of two coplanar cracks in an initially stressed neo-Hookean anisotropic infinite medium

1980 ◽  
Vol 37 (4) ◽  
pp. 451-457 ◽  
Author(s):  
Brij M. Singh ◽  
Ranjit S. Dhaliwal
Keyword(s):  
Plane Strain ◽  
Infinite Medium ◽  
Plane Strain Problem ◽  
Coplanar Cracks

Equilibrium equations and boundary conditions of strain gradient theory in arbitrary curvilinear coordinates

2014 ◽  
Vol 23 (5-6) ◽  
pp. 169-176
Author(s):  
Mikhail Guzev ◽  
Chengzhi Qi ◽  
Jiping Bai ◽  
Kairui Li
Keyword(s):  
Boundary Conditions ◽  
Plane Strain ◽  
Strain Gradient ◽  
Special Form ◽  
Curvilinear Coordinates ◽  
Strain Gradient Theory ◽  
Gradient Theory ◽  
Equilibrium Equations ◽  
Plane Strain Problem

AbstractEquilibrium equations and boundary conditions of the strain gradient theory in arbitrary curvilinear coordinates have been obtained. Their special form for an axisymmetric plane strain problem is also given.

The Comparison of the Loess Mechanical Properties under Plane Strain and Conventional Triaxial Experiments

2014 ◽  
Vol 919-921 ◽  
pp. 791-794
Author(s):  
Lin Ma
Keyword(s):  
Mechanical Properties ◽  
Moisture Content ◽  
Plane Strain ◽  
Confining Pressure ◽  
Test Method ◽  
The Other ◽  
Strain Condition ◽  
Plane Strain Problem ◽  
Plain Strain ◽  
The Impact

Plane strain problem is currently prevalent in the loess engineering. However, this problem still using conventional triaxial test method for processing. So the paper conducted the plain strain test, analyze differences in plane strain experiments with conventional triaxial experiments under different moisture content and confining pressure. Research shows two points, the first one is the impact on the strength of the soil is more under moisture content than confining pressure, the other is that the soil strength under the plane strain condition is significantly greater than conventional triaxial conditions. It shows that the results were conservative under the plane strain problem at past. It played a certain role in guiding the engineering.

The Contact Problem for a Rigid Inclusion Pressed Between Two Dissimilar Elastic Half Planes

1981 ◽  
Vol 48 (1) ◽  
pp. 104-108
Author(s):  
G. M. L. Gladwell
Keyword(s):  
Contact Problem ◽  
Plane Strain ◽  
Integral Equations ◽  
Elastic Constants ◽  
Contact Stress ◽  
Rigid Inclusion ◽  
Numerical Results ◽  
Stress Distributions ◽  
Plane Strain Problem

Paper concerns the plane-strain problem of a rigid, thin, rounded inclusion pressed between two isotropic elastic half planes with different elastic constants. Required to find the extents of the contact regions between each plane and the inclusion, and the contact stress distributions. The governing integral equations are solved approximately by using Chebyshev expansions. Numerical results are presented.

Steady-State Temperatures in an Infinite Medium Split by a Pair of Coplanar Cracks

1988 ◽  
Vol 110 (2) ◽  
pp. 283-289 ◽  
Author(s):  
Shangchow Chang
Keyword(s):  
Steady State ◽  
Integral Transform ◽  
Continuation Method ◽  
Infinite Medium ◽  
Analytical Continuation ◽  
Crack Plane ◽  
Solution Methods ◽  
Steady State Heat ◽  
Integral Transform Technique ◽  
Coplanar Cracks

This article presents a study on the steady-state heat conduction in an infinite medium containing two coplanar cracks. Using an integral transform technique, formal temperature solutions have first been worked out for both the fundamental symmetric and antisymmetric cases. The explicit and exact expressions for temperatures are then developed via both the conventional inversion transform approach and an analytical continuation method proposed in this paper. Numerical results prepared from analytic and numerical methods are presented in graphic form for temperatures on the horizontal crack plane and on a plane slant to the cracks. The relative merit of various possible solution methods is also discussed.

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