The effect of couple-stresses on stress concentrations around a cylindrical cavity in a half-plane under tension

1976 ◽  
Vol 25 (1-2) ◽  
pp. 121-123
Author(s):  
S. Itou
Keyword(s):  
Half Plane ◽  
Cylindrical Cavity ◽  
Stress Concentrations ◽  
Couple Stresses

Frictionless Contact on Elastic Half Plane with Influence of Surface and Couple Stresses

2020 ◽  
Vol 897 ◽  
pp. 73-77
Author(s):  
Toan Minh Le ◽  
Tinh Quoc Bui ◽  
Jintara Lawongkerd ◽  
Suchart Limkatanyu ◽  
Jaroon Rungamornrat
Keyword(s):  
Contact Pressure ◽  
Half Plane ◽  
Numerical Study ◽  
Surface Elasticity ◽  
Fundamental Solutions ◽  
Internal Length ◽  
Frictionless Contact ◽  
Couple Stresses ◽  
Linear Elastic ◽  
Contact Width

In this paper, a frictionless contact of a rigid flat-ended indentor on a linear elastic half plane is investigated by taking the influence of surface and couple stresses into account. The surface elasticity and couple stress theories are utilized to form a mathematical model. The Green’s function method together with the equilibrium condition of the indentor is employed to formulate the key equations governing the contact pressure. A collocation technique and a set of available fundamental solutions of a half plane under the surface loading are adopted to determine the unknown contact pressure. Results from a numerical study reveal that the presence of both surface and couple stresses significantly alters the distribution of the contact pressure from that predicted by the classical linear elasticity, and the size-dependent characteristics of predicted solutions are obviously observed when the contact width is comparable to the internal length scales of the surface and bulk materials.

Effect of Surface Elasticity on Scattering of Plane P-Waves by an Elastic Half-Plane with a Semi-Cylindrical Cavity

2013 ◽  
Vol 303-306 ◽  
pp. 2656-2660 ◽  
Author(s):  
H. M Wu ◽  
Z. Y. Ou
Keyword(s):  
Surface Energy ◽  
Half Plane ◽  
Cylindrical Cavity ◽  
Surface Elasticity ◽  
Expansion Method ◽  
P Waves ◽  
Compressional Waves ◽  
Wave Function Expansion Method ◽  
Plane P Waves ◽  
Incident Waves

When the characteristic sizes of materials and elements reduce to nanometers, the influence of surface energy becomes prominent in its mechanical behavior. In the frame of surface elasticity, the scattering of of plane compressional waves (P-waves) by a semi-cylindrical cavity embedded in an elastic half-plane is investigated in this paper. By using the wave function expansion method, we obtain the analytical solutions of elastci fields. The results show that surface energy has a significant effect on the diffractions of P-waves as the radius of the semi-cylindrical cavity shrinks to nanoscale. For incident waves with different frequencies, radius of semi-cylindrical cavity, the effects of surface elasticity on the dynamic stress concentration around the semi-cylindrical cavity are discussed in detail.

Scattering of a plane wave by a lined cylindrical cavity in a poroelastic half-plane

2009 ◽  
Vol 36 (5) ◽  
pp. 773-786 ◽  
Author(s):  
Ling-Fa Jiang ◽  
Xiang-Lian Zhou ◽  
Jian-Hua Wang
Keyword(s):  
Plane Wave ◽  
Half Plane ◽  
Cylindrical Cavity

Influence of couple stresses on stress concentrations

1963 ◽  
Vol 3 (12) ◽  
pp. 307-308 ◽  
Author(s):  
Charles W. Bert
Keyword(s):  
Stress Concentrations ◽  
Couple Stresses
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