A generalized antiplane singularity within a semi-infinite wedge of arbitrary angle
The state of stress arising within an elastic wedge generated by an antiplane singularity present within it is studied. An analytical solution is derived with a unified generic approach. The singularity may represent either an anti-plane concentrated force or a screw dislocation. To validate the gen...
| Những tác giả chính: | , , |
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| Định dạng: | Journal article |
| Ngôn ngữ: | English |
| Được phát hành: |
SAGE Publications
2023
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| Tóm tắt: | The state of stress arising within an elastic wedge generated by an antiplane
singularity present within it is studied. An analytical solution is derived with a unified
generic approach. The singularity may represent either an anti-plane concentrated
force or a screw dislocation. To validate the general solution, two degenerate cases are
presented. Further, the image force present on the screw dislocation due to the wedge
free boundary is obtained. It is found that when the screw dislocations are placed in
the vicinity of the wedge surface, the image force will drive dislocations to the free
boundary where they will be annihilated. This implies that a dislocation-free zone
may exist along the free surface of the wedge. To demonstrate the application of the
fundamental solutions, a formulation for a slip band under anti-plane loading with
Green’s function method is provided. The solutions developed in this study may be
used as building blocks to model the damage of material near a V-notch under
versatile anti-plane load conditions or torsional loading. |
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