... of A pplied M echanics . 21 04 2022 18 06 2022 18 06 2022 19 07 2022 singularity parabolic notch screw dislocation antiplane concentrated force conformal mapping elasticity stress analysis National Natural Science Foundation of China 10.13039/501100001809...

.... In this work, the problem is formulated in the context of the surface/interface elasticity. For a rigorous solution of the proposed problem, conformal mapping with a Laurent series expansion are employed together. The numerical results well illustrate that the torsional rigidity and stress distribution...

... series expansion. Specifically, the conformal mapping function maps the matrix region surrounding the inhomogeneity onto the outside of a unit circle in the image plane, while the analytic function defined in the elastic inhomogeneity is expressed in terms of a Faber series expansion. Once the series...

...P. B. N. Prasad; Norio Hasebe; X. F. Wang; Y. Shirai The problem of a point dislocation interacting with an elliptical hole located on a bimaterial interface is examined. Analytical solution is obtained by employing the techniques of complex variables and conformal mapping. A rational mapping...

... JOURNAL OF APPLIED MECHANICS . 09 Dec 2001 04 Sept 2002 27 03 2003 stress analysis boundary-value problems conformal mapping indentation thermoelasticity mechanical contact In the theory of two-dimensional linear elasticity one of the most powerful techniques...