#### Location

La Jolla ,CA

#### Start Date

1-1-1989 12:00 AM

#### Description

Elastic wave scattering by several cracks in an infinite isotropic elastic solid has been studied by several investigators[1]–[6]. In general, a system of singular integral equations for the crack opening displacements or the dislocation densities has to be solved. From the crack-damage interaction point of view, a special case of some practical importance is the macro-micro crack configuration, especially when the microcracks are in the vicinity of the macrocrack tips. For example, a macrocrack tip in ceramics usually is accompanied by a cloud of microcracks. In this paper, an iteration method is developed for this special configuration. Instead of solving a system of singular integral equations simultaneously, we need to solve only one equation, for each crack, at each iterative step. This iteration approach is based on the elastodynamic integral representation theorem, and can be applied to both 2-D and 3-D cracks. Furthermore, it can also be extended to cracks in anisotropic solids, since the constitutive equation used in the derivation is the general Hooke’s law.

#### Book Title

Review of Progress in Quantitative Nondestructive Evaluation

#### Volume

8A

#### Chapter

Chapter 1: Fundamentals of Classic Techniques

#### Section

Elastic Wave Scattering and Inversion

#### Pages

79-86

#### DOI

10.1007/978-1-4613-0817-1_10

#### Copyright Owner

Springer-Verlag US

#### Copyright Date

January 1989

#### Language

en

#### File Format

application/pdf

Elastic Wave Scattering by Macro-Micro Crack Configurations

La Jolla ,CA

Elastic wave scattering by several cracks in an infinite isotropic elastic solid has been studied by several investigators[1]–[6]. In general, a system of singular integral equations for the crack opening displacements or the dislocation densities has to be solved. From the crack-damage interaction point of view, a special case of some practical importance is the macro-micro crack configuration, especially when the microcracks are in the vicinity of the macrocrack tips. For example, a macrocrack tip in ceramics usually is accompanied by a cloud of microcracks. In this paper, an iteration method is developed for this special configuration. Instead of solving a system of singular integral equations simultaneously, we need to solve only one equation, for each crack, at each iterative step. This iteration approach is based on the elastodynamic integral representation theorem, and can be applied to both 2-D and 3-D cracks. Furthermore, it can also be extended to cracks in anisotropic solids, since the constitutive equation used in the derivation is the general Hooke’s law.