湖北民族学院学报（自然科学版）Issue(4)：369-371,3.DOI:10.13501/j.cnki.42-1569/n.2015.12.003
微结构固体中的非光滑孤立波
Non-smooth Solitary Waves in Microstructured Solids
摘要
Abstract
The improvement of the free energy form for microstructured solids was made,which contains all quadratic terms of macro-and microdeformation and cubic term of macrodeformation. According to the microstructured elastic theory modified by Engelbrecht and others, a new model capable of describing the longitudinal wave propagation in one-dimensional microstructured solids was strictly derived. The ac⁃quired model was studied and the peakon solutions were obtained. And thus, the existence of the peakon in microstructured solids was proved under certain conditions. This conclusion further extends the conclu⁃sion that only the smooth solitary wave can be found in microstructured solids.关键词
微结构固体/非光滑孤立波/非线性波模型Key words
microstructured solid/non-smooth solitary wave/nonlinear wave model分类
数理科学引用本文复制引用
张芳,那仁满都拉..微结构固体中的非光滑孤立波[J].湖北民族学院学报（自然科学版）,2015,(4):369-371,3.基金项目
国家自然科学基金项目（11462019）；内蒙古民族大学研究生科研创新资助项目（NMDSS1420）． （）
