Abstract
One of the fundamental problems related to the fracture of composite materials, that is, a penny-shaped crack in a fiber-reinforced matrix is solved under the Mode III loading condition, where the fibers are perpendicular to the crack plane and located along the crack border. An elastic fiber model is developed to the above torsional problem, yielding a Fredholm-type integral equation of the second kind for a set of fibers distributed symmetrically on a circle concentric with the crack. The integral equation is numerically evaluated, and the stress intensity factors are presented with the parameter of the fiber to matrix Young's modulus ratio for various geometries.
| Original language | English |
|---|---|
| Pages (from-to) | 855-869 |
| Number of pages | 15 |
| Journal | International Journal of Engineering Science |
| Volume | 25 |
| Issue number | 7 |
| DOIs | |
| Publication status | Published - 1987 |
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All Science Journal Classification (ASJC) codes
- Materials Science(all)
- Engineering(all)
- Mechanics of Materials
- Mechanical Engineering
Cite this
A fiber-reinforced matrix containing a penny-shaped crack under mode III loading condition. / Wen-Xue, Wang; Yoshihiro, Takao; Toshiro, Suhara.
In: International Journal of Engineering Science, Vol. 25, No. 7, 1987, p. 855-869.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A fiber-reinforced matrix containing a penny-shaped crack under mode III loading condition
AU - Wen-Xue, Wang
AU - Yoshihiro, Takao
AU - Toshiro, Suhara
PY - 1987
Y1 - 1987
N2 - One of the fundamental problems related to the fracture of composite materials, that is, a penny-shaped crack in a fiber-reinforced matrix is solved under the Mode III loading condition, where the fibers are perpendicular to the crack plane and located along the crack border. An elastic fiber model is developed to the above torsional problem, yielding a Fredholm-type integral equation of the second kind for a set of fibers distributed symmetrically on a circle concentric with the crack. The integral equation is numerically evaluated, and the stress intensity factors are presented with the parameter of the fiber to matrix Young's modulus ratio for various geometries.
AB - One of the fundamental problems related to the fracture of composite materials, that is, a penny-shaped crack in a fiber-reinforced matrix is solved under the Mode III loading condition, where the fibers are perpendicular to the crack plane and located along the crack border. An elastic fiber model is developed to the above torsional problem, yielding a Fredholm-type integral equation of the second kind for a set of fibers distributed symmetrically on a circle concentric with the crack. The integral equation is numerically evaluated, and the stress intensity factors are presented with the parameter of the fiber to matrix Young's modulus ratio for various geometries.
UR - http://www.scopus.com/inward/record.url?scp=0023259634&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0023259634&partnerID=8YFLogxK
U2 - 10.1016/0020-7225(87)90121-2
DO - 10.1016/0020-7225(87)90121-2
M3 - Article
AN - SCOPUS:0023259634
VL - 25
SP - 855
EP - 869
JO - International Journal of Engineering Science
JF - International Journal of Engineering Science
SN - 0020-7225
IS - 7
ER -