Dislocation Distribution Function of Two Fracture Dynamics Problems concerning Aluminum Alloys

摘要：

By the approaches of the theory of complex functions, dynamic propagation problems on the surfaces of mode I crack subjected to unit-step loads and instantaneous impulse loads located at the origin of the coordinates were studied for Aluminum alloys, respectively. Analytical solutions to stresses, displacements, dynamic stress intensity factors and dislocation distribution functions are gained by the methods of self-similar functions. The problems considered can be very facilely transformed into Riemann-Hilbert problem and their closed solutions are obtained rather straightforward by Muskhelishvilis measure.

关键词： dynamic propagation problems mode I crack Aluminum alloys analytical solutions self-similar functions

作者: Nian-chun Lü Yun-hong Cheng Jin Cheng

作者单位: School of Astronautics, Harbin Institute of Technology, Harbin 150001, P R China;School of Material, Department of Civil Engineering, Northeastern University, Shenyang 110006, P R China School of Material, Shenyang Ligong University, Shenyang 110168, P R China

会议类型: 国际会议

会议名称: The Fifth International Conference on Physical and Numerical Simulation of Materials Processing(第五届材料与热加工物理模拟及数值模拟国际会议)

会议地点: 郑州

会议语种:英文

在线出版日期: 2007-10-23（万方平台首次上网日期，不代表论文的发表时间）