Randomly distributed liquid inclusions in elastic matrix exist in nature, biology, material science and other fields. In this paper, the isogeometic analysis boundary element method (IGABEM) is applied to study the mechanical properties of the elastic matrix with liquid inclusions, in which the liquid inclusion is assumed to be linearly compressible and the interface tension is neglected. Singularity subtraction technique (SST) and Tells transformation method are respectively used to solve the strongly and weakly singular integrals in two-dimensional (2D) problems, while the power series expansion method is used to carry out various singular integrals in three-dimensional (3D) problems. The oriented bounding box (OBB) is adopted to generate the randomly distributed liquid inclusions, which can be formed easily by the control points of the IGA. Numerical examples show the accuracy and effectiveness of the present method in the study of liquid inclusions.

弹性基质中随机分布的液体包裹体存在于自然界、生物学、材料科学等领域。在本文中，等几何分析边界元法（IGABEM）被用于研究具有液体包裹体的弹性基体的力学性能，其中假设液体包裹体是线性可压缩的，并且忽略界面张力。奇点减法（SST）和泰尔斯变换法分别用于求解二维（2D）问题中的强奇异积分和弱奇异积分，而幂级数展开法则用于求解三维（3D）各种奇异积分。 ） 问题。采用定向包围盒（OBB）生成随机分布的液体包裹体，可以通过IGA的控制点轻松形成。