Plane elastic problem on rigid lines along circular inclusion

2005 ◽  
Vol 26 (12) ◽  
pp. 1585-1594 ◽  
Author(s):  
You-wen Liu ◽  
Qi-hong Fang
Keyword(s):  
Circular Inclusion ◽  
Elastic Problem ◽  
Plane Elastic Problem

Effect of Stress-Free Edges in Plane Shear of a Rectangular Orthotropic Region

1978 ◽  
Vol 45 (2) ◽  
pp. 307-312 ◽  
Author(s):  
S. Nair
Keyword(s):  
Lower Bounds ◽  
Elastic Problem ◽  
Upper And Lower Bounds ◽  
Tangential Displacement ◽  
Stiffness Coefficient ◽  
Shearing Force ◽  
Plane Shear ◽  
Zero Stresses ◽  
Plane Elastic Problem ◽  
Free Edges

The plane elastic problem of a rectangular orthotropic region is considered; subject to the boundary conditions of prescribed equal and opposite tangential displacements and zero normal displacements on the upper and lower edges and zero stresses on the remaining edges. The effect of the stress-free edges on the stiffness coefficient relating the tangential displacement and the corresponding shearing force is estimated in the form of upper and lower bounds for this coefficient.

Thermoelastic Problem of Dissimilar Anisotropic Solids With a Rigid Line Inclusion

1994 ◽  
Vol 61 (4) ◽  
pp. 978-980 ◽  
Author(s):  
C. K. Chao ◽  
R. C. Chang
Keyword(s):  
Thermal Stresses ◽  
Elastic Problem ◽  
Analytical Continuation ◽  
Thermoelastic Problem ◽  
Special Technique ◽  
Rigid Line Inclusion ◽  
Rigid Line ◽  
Variable Representation ◽  
Line Inclusion ◽  
Plane Elastic Problem

A general solution to the thermoelastic problem of an interface rigid line inclusion between anisotropic dissimilar media is presented. The complex variable representation of plane elastic problem developed by Lekhnitskii is extended into anisotropic thermoelasticity, and a special technique of analytical continuation is introduced to deal with the dissimilar media problem. It is indicated that singularities of the thermal stresses induced by a rigid line inclusion are similar to the case of a slit crack. A numerical example for zirconia bonded to titanium composite under remote heat flux is also examined.

Accuracy Appraisal of Pile Simulation by Elastic Linkage

2015 ◽  
Vol 725-726 ◽  
pp. 195-201
Author(s):  
Vladimir Lalin ◽  
Sergei Zimin ◽  
Anna Trusova ◽  
Polina Nachkina
Keyword(s):  
Elastic Problem ◽  
Pile Foundations ◽  
Plane Elastic Problem

This article presents the accuracy of foundation calculation of slab-use SCAD model using finite rigidity linkages. Two design schemes contain foundation on pile is considered in plane elastic problem. The analysis of obtained stress values in the foundation allows to make a conclusion on the calculation accuracy in pile models using finite rigidity linkages and the feasibility of such a simplification of the calculation of pile foundations.

Solution of a plane elastic problem with given trajectories of the principal stresses

2004 ◽  
Vol 49 (5) ◽  
pp. 311-314 ◽  
Author(s):  
Sh. A. Mukhamediev ◽  
A. N. Galybin
Keyword(s):  
Elastic Problem ◽  
Principal Stresses ◽  
Plane Elastic Problem

Rectangular Tensile Sheet With Symmetric Edge Cracks

1964 ◽  
Vol 31 (2) ◽  
pp. 208-212 ◽  
Author(s):  
O. L. Bowie
Keyword(s):  
Stress Intensity ◽  
Mapping Function ◽  
Elastic Problem ◽  
Intensity Factors ◽  
Collinear Crack ◽  
Complex Variable Methods ◽  
Crack Tips ◽  
Length Width ◽  
Edge Cracks ◽  
Plane Elastic Problem

Complex variable methods are applied to the plane elastic problem of a rectangular tensile sheet with symmetric edge cracks. A mapping function is used which is sufficiently flexible to account for both variations of crack length and length/width ratios of the sheet on the stresses local to the crack tips. The stress-intensity factors are determined numerically for varying crack lengths in sheet with 1 × 1 and 3 × 1 length/width ratios and compared with Irwin’s earlier approximation derived from Westergaard’s collinear crack solution. The results indicate that the approximation is valid for deep cracks but in error by 13 percent for small crack depths.

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