Influence of Surface and Couple Stresses on Response of Elastic Substrate under Tilted Flat Indenter

2021 ◽  
Author(s):  
Toan Minh Le ◽  
Wipavee Wongviboonsin ◽  
Jintara Lawongkerd ◽  
Tinh Quoc Bui ◽  
Jaroon Rungamornrat
Keyword(s):  
Elastic Substrate ◽  
Couple Stresses

Study of couple stresses and wall permeability effects on the flow in permeable membranes

2021 ◽  
Vol 69 ◽  
pp. 271-284
Author(s):  
Muhammad Kahshan ◽  
Dianchen Lu ◽  
A. Khan ◽  
Naeem Faraz
Keyword(s):  
Couple Stresses ◽  
Wall Permeability

Effects of an elastic substrate on the interfacial adhesion of thin films

2006 ◽  
Vol 200 (16-17) ◽  
pp. 5003-5008 ◽  
Author(s):  
Xian-Fang Li
Keyword(s):  
Thin Films ◽  
Interfacial Adhesion ◽  
Elastic Substrate

Some two-dimensional flows with couple stresses

2012 ◽  
Vol 85 (3) ◽  
pp. 649-654 ◽  
Author(s):  
M. Sajid ◽  
N. Ali ◽  
Z. Abbas ◽  
T. Javed ◽  
M. Imran
Keyword(s):  
Two Dimensional ◽  
Couple Stresses ◽  
Two Dimensional Flows

scholarly journals Elastic materials with couple-stresses

1962 ◽  
Vol 11 (1) ◽  
pp. 385-414 ◽  
Author(s):  
R. A. Toupin
Keyword(s):  
Elastic Materials ◽  
Couple Stresses

Squeeze film characteristics of conical bearings with combined effects of piezo-viscous dependency and non-Newtonian couple stresses

2016 ◽  
Vol 10 (3) ◽  
pp. 126-130 ◽  
Author(s):  
Neminath B. Naduvinamani ◽  
A. Siddangouda ◽  
Ayyappa G. Hiremath
Keyword(s):  
Squeeze Film ◽  
Combined Effects ◽  
Couple Stresses ◽  
Film Characteristics

scholarly journals Effect of surface bending and stress on the transmission of line force to an elastic substrate

2018 ◽  
Vol 474 (2215) ◽  
pp. 20170775 ◽  
Author(s):  
Chung Yuen Hui ◽  
Zezhou Liu ◽  
Anand Jagota
Keyword(s):  
Elastic Modulus ◽  
Surface Stress ◽  
Broad Class ◽  
Local Stress ◽  
Soft Materials ◽  
Elastic Substrate ◽  
Capillary Length ◽  
Singular Stress ◽  
Line Load ◽  
Line Force

For a broad class of soft materials their surface stress can strongly influence mechanical behaviour. For example, a line force applied to the surface of an elastic substrate is locally supported by surface stress over an elasto-capillary length l c (surface stress/elastic modulus). Surface stress regularizes the otherwise highly singular stress and strain fields. However, surface such as lipid bilayer interfaces can also resist deformation by bending. This has not been studied either by experiments or theories. We analyse a theoretical model of the response of a half-space to a line force when the surface carries both a stress and resistance to bending. We find that surface bending further regularizes the singular fields. The local stress field near the line load can be separated into three regions. Region 1 occupies distances from the line load smaller than an elasto-capillary bending length l b (bending stiffness/elastic modulus to the 1/3 power) where surface bending dominates and the elastic stress and strains are continuous. Region 2 occupies intermediate distances between l b and l c   ( > l b ) where surface stress dominates. At distances larger than l c we retrieve the classical elasticity solution. The size of region 2 depends on κ = l c / l b and vanishes for small l c .

The effect of couple stresses on the tip of a crack

1977 ◽  
Vol 13 (11) ◽  
pp. 1103-1122 ◽  
Author(s):  
C. Atkinson ◽  
F.G. Leppington
Keyword(s):  
Couple Stresses

Effects of Couple-stresses in Linear Elasticity

1989 ◽  
pp. 539-572
Author(s):  
R. D. Mindlin ◽  
H. F. Tiersten
Keyword(s):  
Linear Elasticity ◽  
Couple Stresses
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