Elastodynamic problem for a layered composite with penny‐shaped crack under harmonic torsion

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.201800193 ◽

2019 ◽

Vol 99 (5) ◽

pp. e201800193 ◽

Author(s):

Viktor Mykhas'kiv ◽

Volodymyr Stankevych

Keyword(s):

Layered Composite ◽

Elastodynamic Problem ◽

Penny Shaped Crack ◽

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Torsional Impact on a Penny-Shaped Crack at the Interface of a Semi-infinite Medium and an Elastic Layer

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-021-00960-4 ◽

2021 ◽

Vol 7 (2) ◽

Author(s):

Subhadeep Naskar ◽

S. C. Mandal

Keyword(s):

Elastic Layer ◽

Infinite Medium ◽

Penny Shaped Crack ◽

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Analysis of a penny-shaped crack with semi-permeable boundary conditions across crack face in a 3D thermal piezoelectric semiconductor

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2021.06.013 ◽

2021 ◽

Vol 131 ◽

pp. 76-85

Author(s):

ChangHai Yang ◽

MingHao Zhao ◽

Chunsheng Lu ◽

QiaoYun Zhang

Keyword(s):

Boundary Conditions ◽

Piezoelectric Semiconductor ◽

Penny Shaped Crack ◽

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A contact problem for a smooth rigid disc inclusion in a penny-shaped crack

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/bf00942853 ◽

1994 ◽

Vol 45 (1) ◽

pp. 166-173 ◽

Author(s):

A. P. S. Selvadurai

Keyword(s):

Contact Problem ◽

Penny Shaped Crack ◽

Shaped Crack ◽

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Torsional Vibration of an Elastic Solid Containing a Penny‐Shaped Crack

The Journal of the Acoustical Society of America ◽

10.1121/1.1911253 ◽

1968 ◽

Vol 44 (5) ◽

pp. 1237-1245 ◽

Author(s):

G. C. Sih ◽

J. F. Loeber

Keyword(s):

Torsional Vibration ◽

Elastic Solid ◽

Penny Shaped Crack ◽

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Elastodynamic stress field and bifurcation of a running penny-shaped crack

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/bf01595130 ◽

1976 ◽

Vol 27 (6) ◽

pp. 791-800

Author(s):

Y. M. Tsai

Keyword(s):

Stress Field ◽

Penny Shaped Crack ◽

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Asymmetric Distribution of Thermal Stress in a Semi-Infinite Elastic Solid Containing a Penny-Shaped Crack

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.19700501203 ◽

1970 ◽

Vol 50 (12) ◽

pp. 721-735 ◽

Author(s):

K. N. Srivastava ◽

R. M. Palaiya

Keyword(s):

Thermal Stress ◽

Elastic Solid ◽

Asymmetric Distribution ◽

Penny Shaped Crack ◽

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A penny-shaped crack in a transversely isotropic piezoelectric layer

European Journal of Mechanics - A/Solids ◽

10.1016/s0997-7538(01)01164-0 ◽

2001 ◽

Vol 20 (6) ◽

pp. 997-1005 ◽

Author(s):

Bao-Lin Wang ◽

Naotake Noda ◽

Jie-Cai Han ◽

Shan-Yi Du

Keyword(s):

Piezoelectric Layer ◽

Transversely Isotropic ◽

Penny Shaped Crack ◽

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Time-harmonic body force loading of a mode-I penny-shaped crack

International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts ◽

10.1016/0148-9062(96)84152-0 ◽

1996 ◽

Vol 33 (2) ◽

pp. A98

Keyword(s):

Mode I ◽

Force Loading ◽

Time Harmonic ◽

Penny Shaped Crack ◽

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Torsional waves in an infinite elastic solid containing a penny-shaped crack

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/bf01627941 ◽

1970 ◽

Vol 21 (3) ◽

pp. 343-351 ◽

Author(s):

Subhendu K. Datta

Keyword(s):

Elastic Solid ◽

Torsional Waves ◽

Penny Shaped Crack ◽

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Near-Tip Fields for Penny-Shaped Cracks in Magnetoelectroelastic Media

Key Engineering Materials ◽

10.4028/www.scientific.net/kem.312.41 ◽

2006 ◽

Vol 312 ◽

pp. 41-46 ◽

Author(s):

Bao Lin Wang ◽

Yiu Wing Mai

Keyword(s):

Closed Form ◽

Transversely Isotropic ◽

Crack Plane ◽

Axially Symmetric ◽

Crack Configuration ◽

Penny Shaped Crack ◽

Electric And Magnetic Fields ◽

Shaped Crack ◽

Transversely Isotropic Solids ◽

Isotropic Solids

This paper solves the penny-shaped crack configuration in transversely isotropic solids with coupled magneto-electro-elastic properties. The crack plane is coincident with the plane of symmetry such that the resulting elastic, electric and magnetic fields are axially symmetric. The mechanical, electrical and magnetical loads are considered separately. Closed-form expressions for the stresses, electric displacements, and magnetic inductions near the crack frontier are given.

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