Accession Number : ADA140980

Title :   The Dynamic Steady-State Propagation of an Anti-Plane Shear Crack in a General Linearly Viscoelastic Layer.

Descriptive Note : Technical rept.,

Corporate Author : TEXAS A AND M UNIV COLLEGE STATION MECHANICS AND MATERIALS RESEARCH CENTER

Personal Author(s) : Walton,J R

PDF Url : ADA140980

Report Date : Feb 1984

Pagination or Media Count : 17

Abstract : In a previous paper, the dynamic, steady-state propagation of an semi-infinite anti-plane shear crack was considered for an infinite, general linearly viscoelastic body. Under the assumptions that the shear modulus is a positive, non-increasing continuous and convex function of time, convenient, closed-from expressions were derived for the stress intensity factor and for the entire stress distribution ahead of and in the plane of the advancing crack. The solution was shown to have a simple universal dependence upon the shear modulus and crack speed from which qualitative information can readily be gleaned. Here, the corresponding problem for a general, linearly viscoelastic layer is solved. An infinite series representation for the stress intensity factor is derived, each term of which can be calculated recursively in closed-form. As before, a simple universal dependence upon crack speed and material properties is exhibited. (Author)

Descriptors :   *Crack propagation, *Shear properties, *Equations of motion, *Viscoelasticity, Layers, Steady state, Fourier transformation, Stress concentration, Linearity, Boundary value problems

Subject Categories : Numerical Mathematics
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE