STRESS SINGULARITY ANALYSIS OF MULTI-MATERIAL WEDGES UNDER ANTIPLANE DEFORMATION

来源 :Acta Mechanica Solida Sinica | 被引量 : 0次 | 上传用户:ccscbr66
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With the help of the coordinate transformation technique, the symplectic dual solving system is developed for multi-material wedges under antiplane deformation. A virtue of present method is that the compatibility conditions at interfaces of a multi-material wedge are expressed directly by the dual variables, therefore the governing equation of eigenvalue can be derived easily even with the increase of the material number. Then, stress singularity on multi-material wedges under antiplane deformation is investigated, and some solutions can be presented to show the validity of the method. Simultaneously, an interesting phenomenon is found and proved strictly that one of the singularities of a special five-material wedge is independent of the crack direction. With the help of the coordinate transformation technique, the symplectic dual solving system is developed for multi-material wedges under antiplane deformation. A virtue of present method is that the compatibility conditions at interfaces of a multi-material wedge are expressed directly by the dual variables , therefore the governing equation of eigenvalue can be derived even with the increase of the material number. Then, stress singularity on multi-material wedges under antiplane deformation is investigated, and some solutions can be presented to the validity of the method. Simultaneously an interesting phenomenon is found and proved exactly that one of the singularities of a special five-material wedge is independent of the crack direction.
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