This articles first investigates boundary integral operators for the three-dimensional isotropic linear elasticity of a biphasic model with piecewise constant Lam\'e coefficients in the form of a bounded domain of arbitrary shape surrounded by a background material. In the simple case of a spherical inclusion, the vector spherical harmonics consist of eigenfunctions of the single and double layer boundary operators and we provide their spectra. Further, in the case of many spherical inclusions with isotropic materials, each with its own set of Lam\'e parameters, we propose an integral equation and a subsequent Galerkin discretization using the vector spherical harmonics and apply the discretization to several numerical test cases.

翻译：本条款首先调查三维等离子线性线性活性操作器的边界整体操作器。 以片断常数Lam\'e系数的形式,以任意形状的封闭区域为形式,由背景材料环绕。 在球体融合的简单例子中, 矢量球口音由单层和双层边界操作器的机能组成, 我们提供光谱。 此外, 在许多球体包含异地材料的情况下, 每一个都有自己的Lam\'e参数, 我们提出一个整体方程式和随后的加勒金分解, 使用矢量球形口音, 并将分解法应用于几个数字测试案例 。