SOLUTIONS FOR DYNAMIC VARIANTS OF ESHELBY’S INCLUSION PROBLEM
The dynamic variant of Eshelby’s inclusion problem plays a crucial role in many areas of mechanics and theoretical physics. Because of its mathematical complexity, dynamic variants of the inclusion problems so far are only little touched. In this paper we derive solutions for dynamic variants of the Eshelby inclusion problem for arbitrary scalar source densities of the eigenstrain. We study a series of examples of Eshelby problems which are of interest for applications in materials sciences, such as for instance cubic and prismatic inclusions. The method which covers both the time and frequency domain is especially useful for dynamically transforming inclusions of any shape.
Unable to display preview. Download preview PDF.
- Press W. H., Teukolsky S. A, Vetterling W. T., Flannery, B. P. (1992) Numerical Recipes in Fortran 77: the Art of Scientific Computing (Second Edition), Cambridge University Press.Google Scholar
- Pao Y. H. (Ed.) (1978) Elastic Waves and non-destructive testing of materials, AMD-Vol. ASME 29.Google Scholar