Dynamic Stress Analysis Around a Circular Cavity in Two-Dimensional Inhomogeneous Medium with Density Variation
| Autor: | Z.-L. Yang, B.-T. Sun, D.-K. Liu, B.-P. Hei |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
020303 mechanical engineering & transports
Materials science 0203 mechanical engineering Applied Mathematics Mechanical Engineering Circular cavity 02 engineering and technology Mechanics 021001 nanoscience & nanotechnology 0210 nano-technology Condensed Matter Physics Variation (astronomy) Dynamic stress |
| Zdroj: | Journal of Mechanics. 32:519-526 |
| ISSN: | 1811-8216 1727-7191 |
| DOI: | 10.1017/jmech.2016.7 |
| Popis: | Based on the complex function theory and the homogenization principle, an universal approach of solving the dynamic stress concentration around a circular cavity in two-dimensional (2D) inhomogeneous medium is developed. The Helmholtz equation with variable coefficient is converted to the standard Helmholtz equation by means of the general conformal transformation method (GCTM) analytically. As an example, the inhomogeneous medium with density varying as a function of two spatial coordinates and the constant elastic modulus is studied. The dynamic stress concentration factors (DSCF) are calculated numerically. It shows that medium inhomogeneous parameters and wave numbers have significant influence on the dynamic stress concentration by the circular cavity in two-dimensional inhomogeneous medium. |
| Databáze: | OpenAIRE |
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