Two high order imperfect interface models of elastic spherical interphase are developed using the Bövik-Benveniste methodology. In one model, the effect of the layer is accounted for via jumps in the field variables across the traces of its boundaries, while in the other—via corresponding jumps across the trace of its mid-surface. The derived higher order jump conditions are incorporated into the unit cell model of spherical particle composite and the accurate semi-analytical solutions to the corresponding boundary value problems are obtained by the multipole expansion method. Numerical examples are presented to demonstrate that the use of higher order imperfect interface models provides an accurate evaluation of the local elastic fields and overall stiffness properties of composites with spherical interphases and/or incoherent interfaces.

使用 Bövik-Benveniste 方法开发了弹性球形界面的两个高阶不完美界面模型。在一个模型中，层的影响是通过跨越其边界轨迹的场变量的跳跃来解释的，而在另一个模型中，通过跨越其中间表面轨迹的相应跳跃来解释层的影响。将导出的高阶跳跃条件引入球形颗粒复合材料的晶胞模型中，通过多极展开法得到相应边值问题的精确半解析解。数值例子表明，使用高阶不完美界面模型可以准确评估具有球形界面和/或非相干界面的复合材料的局部弹性场和整体刚度特性。