Impact response of a transversely isotropic cylinder with a penny-shaped crack

Shindo Yasuhide; Nozaki Hideaki

doi:10.1016/0020-7683(87)90038-2

Impact response of a transversely isotropic cylinder with a penny-shaped crack

Shindo Yasuhide, Nozaki Hideaki

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

The axisymmetric dynamic response of a penny-shaped crack in a transversely isotropic infinite cylinder under normal impact is analyzed. Laplace and Hankel transforms are used to reduce the transient problem to a pair of dual integral equations in the Laplace transform plane. The solution is given in terms of a Fredholm integral equation of the second kind. A numerical Laplace inversion routine is used to recover the time dependence of the solution. The dynamic stress intensity factor is determined and numerical results for some practical materials are shown graphically to demonstrate the influence of transverse isotropy.

Original language	English
Pages (from-to)	187-199
Number of pages	13
Journal	International Journal of Solids and Structures
Volume	23
Issue number	1
DOIs	https://doi.org/10.1016/0020-7683(87)90038-2
Publication status	Published - 1987
Externally published	Yes

ASJC Scopus subject areas

Modelling and Simulation
Materials Science(all)
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
Applied Mathematics

Access to Document

10.1016/0020-7683(87)90038-2

Cite this

@article{858ddff4505f48e6a00d606f31190408,

title = "Impact response of a transversely isotropic cylinder with a penny-shaped crack",

abstract = "The axisymmetric dynamic response of a penny-shaped crack in a transversely isotropic infinite cylinder under normal impact is analyzed. Laplace and Hankel transforms are used to reduce the transient problem to a pair of dual integral equations in the Laplace transform plane. The solution is given in terms of a Fredholm integral equation of the second kind. A numerical Laplace inversion routine is used to recover the time dependence of the solution. The dynamic stress intensity factor is determined and numerical results for some practical materials are shown graphically to demonstrate the influence of transverse isotropy.",

author = "Shindo Yasuhide and Nozaki Hideaki",

note = "Funding Information: Acknowledgemelll-This work was supported by the Scientific Research Fund of the Ministry of Education for the fiscal year 1984. The authors would like to acknowledge helpful discussions with Emeritus Professor A. Atsumi of Tohoku University.",

year = "1987",

doi = "10.1016/0020-7683(87)90038-2",

language = "English",

volume = "23",

pages = "187--199",

journal = "International Journal of Solids and Structures",

issn = "0020-7683",

publisher = "Elsevier Limited",

number = "1",

}

TY - JOUR

T1 - Impact response of a transversely isotropic cylinder with a penny-shaped crack

AU - Yasuhide, Shindo

AU - Hideaki, Nozaki

N1 - Funding Information: Acknowledgemelll-This work was supported by the Scientific Research Fund of the Ministry of Education for the fiscal year 1984. The authors would like to acknowledge helpful discussions with Emeritus Professor A. Atsumi of Tohoku University.

PY - 1987

Y1 - 1987

N2 - The axisymmetric dynamic response of a penny-shaped crack in a transversely isotropic infinite cylinder under normal impact is analyzed. Laplace and Hankel transforms are used to reduce the transient problem to a pair of dual integral equations in the Laplace transform plane. The solution is given in terms of a Fredholm integral equation of the second kind. A numerical Laplace inversion routine is used to recover the time dependence of the solution. The dynamic stress intensity factor is determined and numerical results for some practical materials are shown graphically to demonstrate the influence of transverse isotropy.

AB - The axisymmetric dynamic response of a penny-shaped crack in a transversely isotropic infinite cylinder under normal impact is analyzed. Laplace and Hankel transforms are used to reduce the transient problem to a pair of dual integral equations in the Laplace transform plane. The solution is given in terms of a Fredholm integral equation of the second kind. A numerical Laplace inversion routine is used to recover the time dependence of the solution. The dynamic stress intensity factor is determined and numerical results for some practical materials are shown graphically to demonstrate the influence of transverse isotropy.

UR - http://www.scopus.com/inward/record.url?scp=0023163999&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0023163999&partnerID=8YFLogxK

U2 - 10.1016/0020-7683(87)90038-2

DO - 10.1016/0020-7683(87)90038-2

M3 - Article

AN - SCOPUS:0023163999

SN - 0020-7683

VL - 23

SP - 187

EP - 199

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

IS - 1

ER -

Impact response of a transversely isotropic cylinder with a penny-shaped crack

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this