Acoustic transmission through orthotropic multilayered plates, part I: Plate vibration modes

A generalized and unified approach is presented for the two-dimensional plane problem of an elliptical inhomogeneity in an isotropic elastic medium. The analysis is based upon the use of conformal mapping and Laurent series expansion of Muskhelishvili's complex potentials. The resulting elastic fields are derived explicitly in both transformed and physical planes for the inhomogeneity and the surrounding matrix. The associated expressions are universal in the sense of being applicable to generalized geometries and applied loads. The application of the general solution is illustrated by several examples and the resulting solutions are verified with those existing in the literature. The results advanced here can be used as building blocks for dealing with more complex problems involving a wide variety of geometry and loading conditions.

On the Elastic Fields of an Elliptical Inhomogeneity under Plane Deformation

Stress analysis of a kinked crack initiating from a rigid line inclusion. Part 1: Formulation☆

Three-dimensional asymptotic stress field in the vicinity of the circumference of a penny shaped discontinuity

In this paper, the boundary integral equation approaches are used to study the doubly periodic array of cracks/rigid-line inclusions in an infinite isotropic plane medium. For the doubly periodic rigid-line inclusion problems, the special integral equation containing the axial and shear forces within the rigid-line inclusion is used. The doubly periodic crack problems are dealt with using the displacement discontinuous integral equation approach. Stress intensity factors, effective elastic properties for doubly periodic array of cracks/rigid-line inclusions are calculated and compared with the available numerical solutions.

https://msvlab.hre.ntou.edu.tw/IJF-Dong-2005.pdf

Numerical analysis of doubly periodic array of cracks/rigid-line inclusions in an infinite isotropic medium using the boundary integral equation method

T.R. Brussat

Papers

A Westergaard-type stress function for line inclusion problems