应变梯度弹性固体表面效应对弹性波传播的影响  

Influences of surface effects on the wave propagation in the gradient elastic solid

作　　者：张水胜[1] 李月秋[1] 韩旸[1] 王红[1] 王晓霞[1] 王焱[1] ZHANG Shui-sheng;LI Yue-qiu;HAN Yang;WANG Hong;WANG Xiao-xia;WANG Yan(School of Science,Qiqihar University,Qiqihar 161006,China)

机构地区：[1]齐齐哈尔大学理学院

出　　处：《高师理科学刊》2019年第7期44-47,共4页Journal of Science of Teachers＇College and University

基　　金：黑龙江省自然科学基金联合引导项目(LH2019A026);黑龙江省省属高等学校基本科研业务费科研项目(135109232,135309477);黑龙江省高等教育教学改革项目(SJGY20170381)

摘　　要：研究应变梯度固体表面效应对弹性波传播的影响,通过应变能密度推导出应变梯度固体中的平衡方程和界面条件,根据非传统界面条件推得弹性波反射和透射的振幅比,推导以能流密度表示的振幅比.用法向能量守恒验证了数值计算结果,根据数值计算结果,讨论了表面参数对弹性波反射和透射的影响.Influences of surface effects on the wave propagation in the gradient elastic solid are studied.The equilibrium equation and interface conditions in strain gradient solids are deduced by strain energy density,the amplitude ratio of reflection and transmission of elastic waves is deduced by non-traditional interface conditions, and the amplitude ratio expressed by energy flux density is deduced.The numerical results are verified by the conservation of normal energy.Based on the numerical results,the effects of surface parameters on the reflection and transmission of elastic waves are discussed.

关 键 词：梯度弹性 微结构效应 表面效应 反射 透射 

分 类 号：O29[理学—应用数学] O347[理学—数学]