Eigenvalue asymptotics for an elastic strip and an elastic plate with a crack

The Part-Through Surface Crack in an Elastic Plate

An elastic analysis is presented for the tensile stretching and bending of a plate containing a surface crack penetrating part-through the thickness, Fig. 1. The treatment is approximate, in that the two-dimensional generalized plane stress and KirchhoffPoisson plate bending theories are employed, with the part-through cracked section represented as a continuous line spring. The spring has both...

Crack Problems for a Rectangular Plate and an Infinite Strip

In this paper, the general plane problem for an infinite strip containing multiple cracks perpendicular to its boundaries is considered. The problem is reduced to a system of singular integral equations. Two specific problems of practical interest are then studied in detail. The first is the investigation of the interaction effect of multiple edge cracks in a plate or beam under tension or bend...

A Crack in an Anisotropic Elastic Slab*

Analysis of Rayleigh-Lamb wave scattering by a crack in an elastic plate

This paper considers the scattering of low-frequency elastic waves by a crack in a plate. A simple formula is derived for the re ̄ection coef®cient which serves as a lower bound to the re ̄ection coef®cient at higher frequencies. Notation a half crack length c speed of S-waves in plate cL speed of longitudinal waves in an in®nite medium cT speed of transverse waves in an in®nite medium d half thi...

A Boundary Integral Equation for Deformations of an Elastic Body with an Arc Crack*

A solution for a class of two-dimensional elasticity problems concerning an isotropic body with an arc crack in its interior is obtained in terms of an integral taken around the exterior boundary of the body. A numerical procedure for solving this integral equation is outlined and numerical results for a test problem are given.