摘要
研究了集中力作用下十次对称二维准晶中的楔形裂纹问题.采用推广的Stroh公式给出了应力和位移的一般解,在此基础上,讨论了声子场环向应力和相位子场环向应力的变化规律.作为特例,给出了十次对称二维准晶半无限裂纹问题应力和位移的解析表达式.
Wedge crack problems in two-dimensional quasi crystal of ten times symmetrical are studied in this paper. The promotion Stroh formula adopted and a general solution of the stress and displacements is given, on this basis, the law of the phonon field ring to the stress field and the seat ring to the changing stress are discussed. As a special column, this paper gives the analytical expressions of semi-infinite crack problem of stress and displacement. In 2-d quasi crystal of ten times symmetry.
作者
王强
郭怀民
赵国忠
WANG Qiang GUO Huai-min ZHAO Guo-zhong(Mathematic Science College of Baotou Teachers College, Baotou 014030 China)
出处
《数学的实践与认识》
北大核心
2017年第19期224-228,共5页
Mathematics in Practice and Theory
基金
国家自然科学基金(11260135
11171038)
内蒙古自然科学基金(2012MS0102)
内蒙古自治区高等学校青年科技英才支持计划资助(2015MS0108)
内蒙古自治区高等学校科学研究项目(NJZY16235
NJZZ12198)
包头师范学院阴山学者培养计划
关键词
十次对称二维准晶
楔形裂纹
集中力
Stroh公式
symmetrical two-dimensional crystal
ten times wedge cracks
concentratedforce
Stroh formula
