中文摘要：

重要进步处于与联系的混合边界值问题被取得了三维(3D ) 击碎并且联系与常规各向同性的橡皮相比展示更多的复杂性的先进材料的分析材料。这些包括联合的材料 anisotropy 和 multifield，很当前的多功能的材料的二个典型特征。在我们试着介绍对 3D 的最先进的描述的这份报纸，准确 / 分析的答案与在 V. 的精神由潜在的理论方法在最近的十年联合的横向的 isotropy 和 multifield 为快克和有弹性的固体的接触问题发源我。Fabrikant，其机灵的突破把新活力和活力带到古典潜力的旧研究题目理论。我们特别地与某些非线性的特征对快克和接触问题感兴趣。强调也被放在在温度领域之间联合上(或相似) 并且另外的物理领域(例如，橡皮，电，并且磁场) 。我们进一步加亮 3D 接触解决方案的实际意义，特别地在与现代扫描探查显微镜有关的应用程序。

英文摘要：

Significant progress has been made in mixed boundary-value problems associated with three-dimensional（3D） crack and contact analyses of advanced materials featuring more complexities compared to the conventional isotropic elastic materials.These include material anisotropy and multifield coupling,two typical characteristics of most current multifunctional materials.In this paper we try to present a state-of-the-art description of 3D exact/analytical solutions derived for crack and contact problems of elastic solids with both transverse isotropy and multifield coupling in the latest decade by the potential theory method in the spirit of V.I.Fabrikant.whose ingenious breakthrough brings new vigor and vitality to the old research subject of classical potential theory.We are particularly interested in crack and contact problems with certain nonlinear features.Emphasis is also placed on the coupling between the temperature field（or the like） and other physical fields（e.g.,elastic,electric,and magnetic fields）.We further highlight the practical significance of 3D contact solutions,in particular in applications related to modern scanning probe microscopes.