Propagation of elastic wave in nanoporous material with distributed cylindrical nanoholes  

作　　者：QIANG FangWei WEI PeiJun LIU XiQiang 

机构地区：[1]Department of Applied Mechanics,University of Science and Technology Beijin [2]Department of Mathematics & Physics,PLA University of Science and Technology

出　　处：《Science China(Physics,Mechanics & Astronomy)》2013年第8期1542-1550,共9页中国科学：物理学、力学、天文学（英文版）

基　　金：the National Natural Science Foundation of China (Grant Nos. 10972029 and 40906044);the Youth Scientific Research Foundation PLA University of Science and Technology (Grant No. 20110510)

摘　　要：The effective propagation constants of plane longitudinal and shear waves in nanoporous material with random distributed parallel cylindrical nanoholes are studied. The surface elastic theory is used to consider the surface stress effects and to derive the nontraditional boundary condition on the surface of nanoholes. The plane wave expansion method is used to obtain the scattering waves from the single nanohole. The multiple scattering effects are taken into consideration by summing the scat- tered waves from all scatterers and performing the configuration averaging of random distributed scatterers. The effective propagation constants of coherent waves along with the associated dynamic effective elastic modulus are numerically evaluat- ed. The influences of surface stress are discussed based on the numerical results.The effective propagation constants of plane longitudinal and shear waves in nanoporous material with random distributed parallel cylindrical nanoholes are studied. The surface elastic theory is used to consider the surface stress effects and to derive the nontraditional boundary condition on the surface of nanoholes. The plane wave expansion method is used to obtain the scattering waves from the single nanohole. The multiple scattering effects are taken into consideration by summing the scattered waves from all scatterers and performing the configuration averaging of random distributed scatterers. The effective propagation constants of coherent waves along with the associated dynamic effective elastic modulus are numerically evaluated. The influences of surface stress are discussed based on the numerical results.

关 键 词：multiple scattering NANOHOLE coherent wave effective velocity effective modulus 

分 类 号：TN011[电子电信—物理电子学]