A continuum theoretical scheme for self-rolling nanotubes from bilayers by mismatch is obtained by considering surface elasticity,surface stress,and symmetry lowering effects.For an ultrathin nanofilm with only severa...A continuum theoretical scheme for self-rolling nanotubes from bilayers by mismatch is obtained by considering surface elasticity,surface stress,and symmetry lowering effects.For an ultrathin nanofilm with only several nanometers in thickness,isotropic mismatch,and isotropic surface stress usually induce anisotropic rolling behavior.The isotropic Timoshenko formula should be modified anisotropically to explain the mechanical behavior of anisotropic rolling structure of nanotubes accurately.The nanofilm rolls up in tangential direction while remaining straight in cylindrical direction theoretically.Therefore,in this paper the anisotropic shape of nanotubes is taken into consideration.Along the cylindrical direction,although it maintains straight and its residual strain is uniform,the stress varies in the radial direction due to the Poisson's effect of tangential strain.The results of the current theory applied to Si-Si nanotube,InAs-GaAs nanotube,and InGaAs-Cr nanotube systems show good agreement with the experimental data.Beside the surface elasticity effect and surface stress effect,the symmetry breaking and the anisotropic rolling structure are of great importance in theoretically describing the mechanical behavior of rolling-up of nanotubes.展开更多
运用Concept Survey Of Electric and Magnetism（CSEM）对陕西师范大学物理学与信息技术学院物理学专业的226名大学一年级的学生进行调查.将国内国外的调查结果进行对比,分析了大学生在电磁学概念理解中存在的错误概念和学生形成错误...运用Concept Survey Of Electric and Magnetism（CSEM）对陕西师范大学物理学与信息技术学院物理学专业的226名大学一年级的学生进行调查.将国内国外的调查结果进行对比,分析了大学生在电磁学概念理解中存在的错误概念和学生形成错误概念的原因,并提出了一些建议.展开更多
The structural, elastic and electronic properties of Cu-X compounds in the Cu-X(X =Al, Be, Mg, Sn, Zn and Zr) systems were predicted systematically by first-principles calculations. The ground state properties such as...The structural, elastic and electronic properties of Cu-X compounds in the Cu-X(X =Al, Be, Mg, Sn, Zn and Zr) systems were predicted systematically by first-principles calculations. The ground state properties such as lattice constant, bulk modulus(B)and it's pressure derivative(B') were predicted by fitting a four-parameter Birch–Murnaghan equation and the elastic constants(cij′s)are determined by an efficient strain-stress method. The calculated lattice parameters and cij′s of these binary compounds agree well with the available experimental data in the literature. In addition, elastic properties of polycrystalline aggregates including bulk modulus(B), shear modulus(G), elastic modulus(E), B/G(bulk/shear) ratio, and anisotropy ratio(AU) are calculated and compared with the experimental and theoretical results available in the literature. Based on electronic density of states(DOS) analysis, it can be revealed that all the compounds in the present work are metallic in nature.展开更多
基金Project supported by the Natural Science Foundation of Shanxi Province,China (Grant No.201901D111316)the National Natural Science Foundation of China (Grant No.11874245)+1 种基金the Teaching Reform and Innovation Pproject of Colleges and Universities in Shanxi Province,China (Grant No.J2021508)the Natural Science Foundation of Inner Mongolia Autonomous Region,China (Grant No.2020MS06007)。
文摘A continuum theoretical scheme for self-rolling nanotubes from bilayers by mismatch is obtained by considering surface elasticity,surface stress,and symmetry lowering effects.For an ultrathin nanofilm with only several nanometers in thickness,isotropic mismatch,and isotropic surface stress usually induce anisotropic rolling behavior.The isotropic Timoshenko formula should be modified anisotropically to explain the mechanical behavior of anisotropic rolling structure of nanotubes accurately.The nanofilm rolls up in tangential direction while remaining straight in cylindrical direction theoretically.Therefore,in this paper the anisotropic shape of nanotubes is taken into consideration.Along the cylindrical direction,although it maintains straight and its residual strain is uniform,the stress varies in the radial direction due to the Poisson's effect of tangential strain.The results of the current theory applied to Si-Si nanotube,InAs-GaAs nanotube,and InGaAs-Cr nanotube systems show good agreement with the experimental data.Beside the surface elasticity effect and surface stress effect,the symmetry breaking and the anisotropic rolling structure are of great importance in theoretically describing the mechanical behavior of rolling-up of nanotubes.
基金Project(51021063)supported by Creative Research Group of National Natural Science Foundation of ChinaProject(2011CB610401)supported by National Basic Research Program of ChinaProject(2014M552150)supported by Postdoctoral Science Foundation of China
文摘The structural, elastic and electronic properties of Cu-X compounds in the Cu-X(X =Al, Be, Mg, Sn, Zn and Zr) systems were predicted systematically by first-principles calculations. The ground state properties such as lattice constant, bulk modulus(B)and it's pressure derivative(B') were predicted by fitting a four-parameter Birch–Murnaghan equation and the elastic constants(cij′s)are determined by an efficient strain-stress method. The calculated lattice parameters and cij′s of these binary compounds agree well with the available experimental data in the literature. In addition, elastic properties of polycrystalline aggregates including bulk modulus(B), shear modulus(G), elastic modulus(E), B/G(bulk/shear) ratio, and anisotropy ratio(AU) are calculated and compared with the experimental and theoretical results available in the literature. Based on electronic density of states(DOS) analysis, it can be revealed that all the compounds in the present work are metallic in nature.
