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| 1 | Some recent advances in 3D crack and contact analysis of elastic solids with transverse isotropy and multifield coupling显示文摘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. | Wei-Qiu Chen | 2015 | Acta Mechanica Sinica2015，31，5： | 4 |
| 2 | THREE-DIMENSIONAL INTERACTIONS OF CIRCULAR CRACK IN TRANSVERSELY ISOTROPIC PIEZOELECTRIC SPACE WITH RESULTANT SOURCES显示文摘Exact solutions in form of elementary functions were derived for the stress and electric displacement intensity factors of a circular crack in a transversely isotropic piezoelectric space interacting with various stress and charge sources: force dipoles, electric dipoles, moments, force dilatation and rotation. The circular crack includes penny-shaped crack and external circular crack and the locations and orientations of these resultant sources with respect to the crack are arbitrary. Such stress and charge sources may model defects like vacancies, foreign particles, and dislocations. Numerical results are presented at last. | 侯鹏飞 丁皓江 梁以德 | 2006 | Applied Mathematics and Mechanics(English Edition)2006，27，11： | 1 |
| 3 | 横观各向同性压电空间中圆裂纹与合成点源的三维相互作用显示文摘研究了横观各向同性压电空间中的圆裂纹与包括力偶极子、电偶极子、点力矩、力张和力旋这些常见合成点源的相互作用.用初等函数的形式给出了在任意位置和方向的合成点源作用下,裂纹尖端3种应力强度因子和电位移强度因子的三维解.其中圆裂纹包括币形裂纹和外圆裂纹.这一系列的力电合成点源不仅其自身在工程中普遍存在,而且在某些情形下还可以模拟诸如微裂纹、空洞、夹杂和位错等缺陷. | 候鹏飞 丁皓江 梁以德 | 2006 | 应用数学和力学2006，27，11： | 0 |
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