Diffraction of Transient Horizontal Shear Waves by a Running Crack at the Interface of two Bonded Dissimilar Elastic Solids

Yasuro Nishida, Yasuhide Shindo, Akira Atsumi

Research output: Contribution to journalArticlepeer-review

Abstract

This paper deals with the problem of diffraction of horizontally polarized shear waves of arbitrary profile by a running crack located at the interface of two bonded dissimilar elastic solids. A set of moving coordinate systems attached at the center of the running crack and a new time parameter are employed to obtain the basic equations of motion for two dissimilar elastic half spaces. By the use of Laplace and Fourier transforms we reduce the problem to a pair of dual integral equations. The solution to the dual integral equations is expressed in terms of a pair of Fredholm integral equations of the second kind having the kernel of a finite integration. Dynamic stress intensity factor for an incident wave with a step function profile is obtained as a function of the speed of crack propagation, the angle of incidence, the material properties, and time, and is shown graphically.

Original languageEnglish
Pages (from-to)705-711
Number of pages7
JournalTransactions of the Japan Society of Mechanical Engineers Series A
Volume52
Issue number475
DOIs
Publication statusPublished - 1986 Jan 1

Keywords

  • Composite Material
  • Dynamic Stress Intensity Factor
  • Elasticity
  • Integral Equation
  • Integral Transform
  • Running Interface Crack
  • Singular Stress
  • Transient Horizontal Shear Waves

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

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