The paper addresses stress analysis of a strip with a circular hole under uniform uniaxial tension based on circumferential stress expression σθ. Stresses are analyzed in the infinite-length strips under tension with holes, the ratio of the hole radius a to the strip half-width b is either equal to: λ = a/b = 0.1 or λ = 0.5. Circumferential stresses are determined in selected cross-sections of the strip. The stress diagrams display local stress concentration near the hole. The analytical solutions are compared with the numerical solutions the finite elements method (FEM), the latter using the ABAQUS software due to various λ ratios. The results show the maximum circumferential stress at hole boundary, affected by the ratio of the hole radius to the width of the strip.

The work was created as part of B.Sc. engineering thesis at Gdansk University of Technology, Faculty of Civil and Environmental Engineering.

1.
W.
Tseng
and
J.
Tarn
,
Journal of Mechanics
30
,
611
624
(
2014
).
2.
A.
Abuzaid
,
M.
Hrairi
, and
M. S.
Dawood
,
IOP Conference Series: Materials Science and Engineering
184
(
2017
).
3.
R.
Dimitri
,
N.
Fantuzzi
,
F.
Tornabene
, and
G.
Zavarise
,
International Journal of Mechanical Sciences
118
,
166
187
(
2016
).
4.
I.
Khoma
and
O.
Dashko
,
International Applied Mechanics
52
,
605
615
(
2016
).
5.
M.
Jafari
and
E.
Ardalani
,
International Journal of Mechanical Sciences
106
,
220
230
(
2016
).
6.
Y.
Zheng
, “
The interaction of holes on stress and strain concentrations in uniaxially loaded tensile plates
,” in
Materials, Mechanical Engineering and Manufacture
(
2013
).
7.
N.
Bojic
and
Z.
Jugovic
, “
Stress concentration in plates with one hole
,” in
Sixth International Symposium about Forming and Design in Mechanical Engineering
(
2010
), pp.
73
78
.
8.
V.
Vasil’ev
and
L.
Fedorov
,
Mechanics of Solids
43
,
528
538
(
2008
).
9.
J.
Kang
,
International Journal of Mechanical Sciences
89
,
482
486
(
2014
).
10.
S.
Akbarov
and
N.
Yahnioglu
,
Mechanics of Composite Materials
44
,
581
590
(
2008
).
11.
N.
Odishelidze
,
F.
Criado-Aldeanueva
,
F.
Criado
, and
J.
Sanchez
,
Mathematics and Mechanics of Solids
(
2016
).
12.
Z.
Yang
,
C.
Kim
,
C.
Cho
,
H.
Beom
, and
S.
Song
, “
The size effect on the concentration of stress and strain in finite thickness elastic plate containing a circular hole
,” in
Engineering structural integrity research development and application
(
2007
), pp.
758
761
.
13.
Z.
Yang
,
C.
Kim
,
C.
Cho
, and
H.
Beom
,
International Journal of Solids and Structures
45
,
713
731
(
2008
).
14.
Z.
Yang
,
International Journal of Fracture
155
,
43
54
(
2009
).
15.
Z.
Yang
,
J.
Hou
,
G.
Wang
, and
Z.
Xiong
, “
The stress and strain concentrations associated with two interacting holes in a finite thickness elastic plate subjected to tensile stress
,” in
Fracture and Strength of Solids
(
2011
).
16.
S.
Wang
,
A.
Lu
,
X.
Zhang
, and
N.
Zhang
,
Mechanics based design of structures and machines
46
,
23
37
(
2018
).
17.
V.
Sokolov
,
D.
Strachov
, and
L.
Sinyakov
,
Magazine of Civil Engineering
70
,
33
41
(
2017
).
18.
K.
Girkmann
,
Shell structures
, (in Polish) (ARKADY,
1957
).
19.
A.
Ugural
and
S.
Fenster
,
Advanced strength and applied elasticity
(
Prentice Hall
,
2003
).
20.
R.
Howland
,
On the stresses in the neighborhood of a circular hole in a strip under tension
(
Royal Society of London
,
1930
).
21.
G.
Savin
,
Stress distribution around holes
(
National Aeronautics and Space Administration
,
1968
).
22.
A.
Love
, A treatise on the mathematical theory of elasticity (
Cambridge University Press
,
2013
).
23.
D.
Hibbit
,
B.
Karlsson
, and
P.
Sorensen
, ABAQUS analysis user’s manual (
Hibbit, Karlsson
,
Sorensen Inc
.).
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