Interaction of an anti-plane singularity with interfacial anti-cracks in cylindrically anisotropic composites |
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Authors: | B Li Y W Liu Q H Fang |
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Institution: | (1) College of Mechanics and Aerospace, Hunan University, Changsha, 410082, China |
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Abstract: | Anti-plane problem for a singularity interacting with interfacial anti-cracks (rigid lines) under uniform shear stress at
infinity in cylindrically anisotropic composites is investigated by utilizing a complex potential technique in this paper.
After obtaining the general solution for this problem, the closed solution for the interface containing one anti-crack is
presented analytically. In addition, the complex potentials for a screw dislocation dipole inside matrix are obtained by the
superimposing method. Expressions of stress singularities around the anti-crack tips, image forces and torques acting on the
dislocation or the center of dipole are given explicitly. The results indicate that the anisotropy properties of materials
may weaken the stress singularity near the anti-crack tip for the singularity being a concentrated force but enhance the one
for the singularity being a screw dislocation and change the equilibrium position of screw dislocation. The presented solutions
are valid for anisotropic, orthotropic or isotropic composites and can be reduced to some new or previously known results. |
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Keywords: | Anti-plane problem Interface anti-cracks Cylindrically anisotropic composites |
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