金属学报  1981, Vol. 17 Issue (5): 489-505

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立方晶体中<100>,<110>,<111>方向椭圆柱形夹杂物弹性能数值解

颜本达;吴建生;林栋梁;周以苍

上海交通大学;上海交通大学;上海交通大学;美国里海大学冶金及材料工程系;上海交通大学兼任教授

NUMERICAL SOLUTION OF ELASTIC ENERGY OF ELLIPTIC INCLUSIONS ORIENTED IN <100>,<110>AND <111> DIRECTIONS IN CUBIC CRYSTALS

by Yah Benda; Wu Jiansheng and Lin Dongliang (T. L. Lin) (Shanghai Jiaotong University) and Y. T. Chou (Department of Metallurgy and Materials Science; Leihigh University; U. S. A.; Adjunct Professor in Shanghai Jiaotong University; China)

颜本达;吴建生;林栋梁;周以苍. 立方晶体中<100>,<110>,<111>方向椭圆柱形夹杂物弹性能数值解[J]. 金属学报, 1981, 17(5): 489-505.
, , , . NUMERICAL SOLUTION OF ELASTIC ENERGY OF ELLIPTIC INCLUSIONS ORIENTED IN <100>,<110>AND <111> DIRECTIONS IN CUBIC CRYSTALS[J]. Acta Metall Sin, 1981, 17(5): 489-505.

摘要 参考文献 相关文章 Metrics 全文: PDF(1270 KB)   摘要: 本文编制了各向异性介质中椭圆柱形夹杂物弹性能数值计算的通用程序。计算了立方晶系中<100>,<110>和<111>方向夹杂物的弹性能,给出了三种夹杂物的弹性能方位分布曲线,并讨论了夹杂物形状和应变状态等因素对体系弹性能的影响。 Abstract：The elastic inclusion problem, that is the calculation of the stress-strain field and the elastic energy of an anisotropic elastic medium with an elastic inclusion contained in it, is one of the important problems in materials science.Especially, the variation of the elastic energy of the system with the orientations of the inclusion in the medium (i. e. the orientational dependence of the elastic energy), and the orientation of the inclusion corresponding to the minimum of the elastic energy of the system are of great theoretical land practical significance in the investigations of the habit orientations of the phase transformations and precipitate particles, the prediction of the microcracking direction as well as the optimum distribution of the reinforcement fibers in the composites.Based on the "Point Force-Line Force Method" given by H. Y. Yang and Y.T. Chou in 1976, a general computer program is compiled, which is applicable to the numerical calculation of the elastic energy of the elliptical inclusion oriented in any direction of the anisotropic medium for the generalized plane problem. The values of the elastic energy of the elliptic inclusions with their cylinder axes along the <100>, <110> and <111> directions in cubic metals Fe, Nb and Al were computed, and the dependence of elastic energies on the orientation of cross elliptic sections, which was rotating around their cylindcr axes, has been illustrated explicitly in graphic charts.The following conclusions arc deduced from the calculation results:1. The system has its elastic energy when the inclusion is lying on the crystal planes and oriented along the crystal directions of low indexes.2. The elastic energy of the system with the inclusion subjected to pure shear strain is 1/3-1/2 of that with the inclusion subjected to principal strain.3. The elastic energy of the anisotropic system with thin plate inclusions is very small. As the elliptic index e=b/a→0 the elastic energy of the system approaches nil.4. If the boundary energy could be neglected, the new phase and the precipitate with the lowest elastic energy would take the thin plate shape and shear mode in phase transformations and precipitation. 收稿日期: 1981-05-18      服务 把本文推荐给朋友 加入引用管理器 E-mail Alert RSS 作者相关文章 颜本达 吴建生 林栋梁 周以苍 44.8K 链接本文: https://www.ams.org.cn/CN/      或      https://www.ams.org.cn/CN/Y1981/V17/I5/489 [1] Eshelby, J. D., Progress in Solid Mechanics, Ed. by I. N. Snedden and R. Hill, North Holland, Vol. 2, 1961, p. 89． [2] Eshelby, J. D., Proc. R. Soc. London, Ser. A, 241 (1957) , 376． [3] Eshelby, J. D., Proc. R. Soc. London, Ser. A, 252 (1959) , 561． [4] Jaswon, M. A. and Bhargava, R, D., Proe. Cambridge Philos. Soc. 57 (1961) , 669． [5] Willis, J. R., Q. J. Mech. Appl. Math., 17 (1964) , 157． [6] Bhargava, R. D. and Rodhakrishna, H. C., J. Phys. Soc. Jpn., 19 (1964) , 396． [7] Chen, W. T., Q. J. Mech. Appl. Math., 20 (1967) , 307． [8] Walpole, L. J., Proc. R. Soc. London, Ser. A, 300 (1967) , 270． [9] Yang, H. C. and Chou, Y. T., Trans. ASME, Ser. E: J. Appl. Mech., 43 (1976) , 424． [10] Eshelby, J. D., Read, W. T. and Shockley, W., Acta Metall., 1 (1953) , 251． [11] Stroh, A. N., Philos. Mag., 3 (1958) , 625． [12] Yang, H, C. and Chou, Y. T., Mater. Sci. Eng., 17 (1975) , 57． [13] Head, A. K., Humble, P., Clarebrough, L. M., Morton, A. J. and Porwood, C. T., Computed Electron Micrographs and Defect Identification, 1973, p. 126． [14] Bacon, D. J., Barnett, D. M. and Scattergood, R. O., Prog. Mater. Sci., 23 (1978) , 162． [15] 冯端,金属物理(下册),科学出版社,1975,p.527． [16] Shibata, M. and Ono, K., Acta Metall, 23 (1975) , 587． [17] Mura, T. and Lin, S. C., Trans. ASME, Set E: J. Appl. Mech., 41 (1974) , 209． [18] Chou, Y. T., Lin, T. L. and Wu, J. S., to be published, 1981 No related articles found! Viewed Full text Abstract Cited   Shared      Discussed