35
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Transient stress intensity factors of an anti‐plane crack propagating in anisotropic layered media

&
Pages 111-122 | Received 20 Apr 2004, Accepted 18 Jun 2004, Published online: 04 Mar 2011

References

  • Achenbach , J. D. 1970a . “Brittle and Ductile Extension of a Finite Crack by a Horizontally Polarized Shear Wave” . International Journal of Engineering Science , 8 : 947 – 966 .
  • Achenbach , J. D. 1970b . “Extension of a Crack by a Shear Wave” . Zeitschrift für Angewandte Mathematik und Physik (ZAMP) , 21 : 887 – 900 .
  • Achenbach , J. D. 1973 . Wave Propagation in Elastic Solids , 267 – 269 . New York, , USA : Elsevier .
  • Boström , A. 2003 . “Review of Hypersingular Integral Equation Method for Crack Scattering and Application to Modeling of Ultrasonic Nondestructive Evaluation” . Applied Mechanics Reviews , 56 ( 4 ) : 383 – 405 .
  • Brock , L. M. and Hanson , M. T. 2002 . “An Exact Transient Analysis of Plane Wave Diffraction by a Crack in an Orthotropic or Transversely Isotropic Solid” . International Journal of Solids and Structures , 39 ( 21 ) : 5393 – 5408 .
  • Cagniard , L. 1939 . “ Reflexion et Refraction des Ondes Seismiques Progressives, Cauthiers‐Villars, Paris ” . In Reflection and Refraction of Progressive Seismic Waves , Edited by: Flinn , E. A. and Dix , C. H. New York, , USA : McGraw Hill . 1962
  • Das , S. and Patra , B. 1996 . “Moving Griffith Crack at the Interface of Two Dissimilar Orthotropic Half Planes” . Engineering Fracture Mechanics , 54 ( 4 ) : 523 – 531 .
  • Das , S. and Patra , B. 1998 . “Stress Intensity Factors for Moving Interfacial Crack Between Bonded Dissimilar Fixed Orthotropic Layers” . Computers and Structures , 69 ( 4 ) : 459 – 472 .
  • Freund , L. B. 1972a . “Crack Propagation in an Elastic Solid Subjected to General Loading‐I. Constant Rate of Extension” . Journal of the Mechanics and Physics of Solids , 20 : 129 – 140 .
  • Freund , L. B. 1972b . “Crack Propagation in an Elastic Solid Subjected to General Loading‐II. Nonuniform Rate of Extension” . Journal of the Mechanics and Physics of Solids , 20 : 141 – 152 .
  • Freund , L. B. 1973 . “Crack Propagation in an Elastic Solid Subjected to General Loading‐III. Stress Wave Loading” . Journal of the Mechanics and Physics of Solids , 21 : 47 – 61 .
  • Freund , L. B. 1974 . “Crack Propagation in an Elastic Solid Subjected to General Loading‐IV. Obliquely Incident Stress Pulse” . Journal of the Mechanics and Physics of Solids , 22 : 137 – 146 .
  • Freund , L. B. 1990 . Dynamic Fracture Mechanics , Cambridge, MA, , USA : Cambridge University Press .
  • Guo , F. , Yang , W. , Huang , Y. and Rosakis , A. J. 2003 . “Sudden Deceleration or Acceleration of an Intersonic Shear Crack” . Journal of the Mechanics and Physics of Solids , 51 : 311 – 331 .
  • Ing , Y. S. and Chuang , C. B. 2004 . “Transient Analysis of Mode III Fracture in Anisotropic Layered Media” . AIAA Journal , 42 ( 8 ) : 1644 – 1651 .
  • Ing , Y. S. and Ma , C. C. 1996 . “Transient Response of a Finite Crack Subjected to Dynamic Anti‐Plane Loading” . International Journal of Fracture , 82 ( 4 ) : 345 – 362 .
  • Ing , Y. S. and Ma , C. C. 1997 . “Dynamic Fracture Analysis of a Finite Crack Subjected to an Incident Horizontally Polarized Shear Wave” . International Journal of Solids and Structures , 34 ( 8 ) : 895 – 910 .
  • Ing , Y. S. and Ma , C. C. 2003 . “Dynamic Fracture Analysis of Finite Cracks by Horizontally Polarized Shear Waves in Anisotropic Solids” . Journal of Mechanics and Physics of Solids , 51 ( 11 ) : 1987 – 2021 .
  • Itou , S. and Haliding , H. 1997 . “Dynamic Stress Intensity Factors Around Two Parallel Cracks in an Infinite‐Orthotropic Plane Subjected to Incident Harmonic Stress Waves” . International Journal of Solids and Structures , 34 ( 9 ) : 1145 – 1165 .
  • Kassir , M. K. and Bandyopadhyay , K. K. 1983 . “Impact Response of a Cracked Orthotropic Medium” . Journal of Applied Mechanics , 50 ( 3 ) : 630 – 636 .
  • Kostrov , B. V. 1966 . “Unsteady Propagation of Longitudinal Shear Cracks” . Applied Mathematics nd Mechanics (PMM) , 30 : 1241 – 1248 .
  • Kundu , T. and Boström , A. 1992 . “Elastic Wave Scattering by a Circular Crack in a Transversely Isotropic Solid” . Wave Motion , 15 ( 3 ) : 285 – 300 .
  • Kuo , M. K. 1992 . “Transient Stress Intensity Factors for a Cracked Plane Strip Under Anti‐Plane Point Forces” . International Journal of Engineering Science , 30 ( 2 ) : 199 – 211 .
  • Lin , R. L. and Ma , C. C. 2000 . “Antiplane Deformation for Anisotropic Multilayered Media by Using the Coordinate Transform Method” . ASME Journal of Applied Mechanics , 67 ( 3 ) : 597 – 605 .
  • Ma , C. C. 1988 . “Initiation, Propagation, and Kinking of an In‐plane Crack” . Journal of Applied Mechanics , 55 : 587 – 595 .
  • Ma , C. C. 1990 . “Dynamic Mixed Mode I‐II Crack Kinking Under Oblique Stress Wave Loading in Brittle Solids” . Journal of Applied Mechanics , 57 : 117 – 127 .
  • Ma , C. C. 1996 . “Relationship of Anisotropic and Isotropic Materials for Antiplane Problems” . AIAA Journal , 34 ( 11 ) : 2453 – 2456 .
  • Ma , C. C. and Burgers , P. 1986 . “Mode III Kinking with Delay Time: An Analytical Approximation” . International Journal of Solids and Structures , 22 : 883 – 899 .
  • Ma , C. C. and Burgers , P. 1987 . “Dynamic Mode I and Mode II Crack Kinking Including Delay Time Effects” . International Journal of Solids and Structures , 23 : 897 – 918 .
  • Ma , C. C. and Burgers , P. 1988 . “Initiation, Propagation, and Kinking of an Antiplane Crack” . Journal of Applied Mechanics , 55 : 111 – 119 .
  • Ma , C. C. and Ing , Y. S. 1997 . “Dynamic Crack Propagation in a Layered Medium Under Antiplane Shear” . Journal of Applied Mechanics , 64 ( 4 ) : 706 – 711 .
  • Ma , C. C. and Liao , C. Y. 1999 . “Elastodynamic Analysis of Antiplane Anisotropic Interface Cracks” . Journal of Engineering Mechanics , 125 ( 8 ) : 891 – 898 .
  • Noble , B. 1958 . Methods Based on the Wiener‐Hopf Technique , Elmsford, New York, , USA : Pergamon Press .
  • Pramanik , R. K. , Pal , S. C. and Ghosh , M. L. 1998 . “Transient Response due to a Pair of Antiplane Point Impact Loading on the Faces of a Finite Griffith Crack at the Bimaterial Interface of Anisotropic Solids” . International Journal of Engineering Science , 36 ( 11 ) : 1197 – 1213 .
  • Rizza , R. and Nair , S. 1999 . “A Penny Shaped Crack in a Transversely Isotropic Material Under Non‐Axisymmetric Impact Loads” . International Journal of Solids and Structures , 36 ( 1 ) : 35 – 64 .
  • Rosakis , A. J. 2002 . “Intersonic Shear Cracks and Fault Ruptures” . Advances in Physics , 51 : 1189 – 1257 .
  • Rubio‐Gonzalez , C. and Mason , J. J. 1999 . “Response of Finite Cracks in Orthotropic Materials due to Concentrated Impact Shear Loads” . Journal of Applied Mechanics , 66 ( 2 ) : 485 – 491 .
  • Rubio‐Gonzalez , C. and Mason , J. J. 2000 . “Dynamic Stress Intensity Factors at the Tip of a Uniformly Loaded Semi‐Infinite Crack in an Orthotropic Material” . Journal of Mechanics and Physics of Solids , 48 ( 5 ) : 899 – 925 .
  • Rubio‐Gonzalez , C. and Mason , J. J. 2001 . “Green's Functions for the Stress Intensity Factor Evolution in Finite Cracks in Orthotropic Materials” . International Journal of Fracture , 108 ( 4 ) : 317 – 335 .
  • Samudrala , O. and Rosakis , A. J. 2003 . “Effect of Loading and Geometry on the Subsonic/Intersonic Transition of a Bimaterial Interface Crack” . Engineering Fracture Mechanics , 70 : 309 – 337 .
  • Sarkar , J. , Mandal , S. C. and Ghosh , M. L. 1995 . “Diffraction of Elastic Waves by Three Coplanar Griffith Cracks in an Orthotropic Medium” . International Journal of Engineering Science , 33 ( 2 ) : 163 – 177 .
  • Shen , S. and Kuang , Z. B. 1998 . “Wave Scattering from an Interface Crack in Laminated Anisotropic Media” . Mechanics Research Communications , 25 ( 5 ) : 509 – 517 .
  • Shindo , Y. and Nozaki , H. 1991 . “Impact Response of a Finite Crack in an Orthotropic Strip” . Acta Mechanics , 62 : 87 – 104 .
  • Ting , T. C. T. 2000 . “Recent Developments in Anisotropic Elasticity” . International Journal of Solids and Structures , 37 ( 1 ) : 401 – 409 .
  • Yoffe , E. H. 1951 . “The Moving Griffith Crack” . Philosophical Magazine , 42 : 739 – 750 .
  • Zhang , Ch. 2000 . “Transient Elastodynamic Antiplane Crack Analysis of Anisotropic Solids” . International Journal of Solids and Structures , 37 ( 42 ) : 6107 – 6130 .
  • Zhang , Ch. and Gross , D. 1998 . On Wave Propagation in Elastic Solids with Cracks , Southampton, , UK : Computational Mechanics Publications .
  • Zhao , X. 2001 . “The Stress‐Intensity Factor History for a Half Plane Crack in a Transversely Isotropic Solid due to Impact Point Loading on the Crack Faces” . International Journal of Solids and Structures , 38 ( 16 ) : 2851 – 2865 .
  • Corresponding author. (Tel: 886–2–26215656 ext. 2771; Fax: 886–2–26209746; Email: [email protected])

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.