Employing primarily analytic continuation, we derive analytical solutions to the anti-plane problem associated with a screw dislocation located anywhere inside an anisotropic tri-material composed of an intermediate anisotropic elastic layer of finite thickness sandwiched between two semi-infinite anisotropic elastic media. All three phases of the tri-material are monoclinic with the symmetry plane at $x_{3}=0$ in a Cartesian coordinate system. We obtain explicit expressions for each one of the three analytic functions defined in its respective anisotropic elastic phase. This allows for the complete determination of the stresses and displacement in the tri-material. In addition, we present simple yet concise expressions for the image force acting on the screw dislocation. An interfacial Zener-Stroh crack in the tri-material is discussed using the analytical solution developed for an interfacial screw dislocation.

中文翻译：

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单斜三元材料中的螺钉错位

主要使用解析延拓，我们推导出与螺旋位错相关的反平面问题的解析解，该螺旋位错位于各向异性三元材料内的任何位置，由夹在两个半无限各向异性弹性介质之间的有限厚度的中间各向异性弹性层组成。三相材料的所有三相都是单斜晶系的，在笛卡尔坐标系中的对称平面位于 $x_{3}=0$。我们获得了在其各自的各向异性弹性相中定义的三个解析函数中的每一个的显式表达式。这允许完全确定三材料中的应力和位移。此外，我们对作用在螺旋位错上的图像力提出了简单而简洁的表达式。