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| 1 | On the general expressions of finite Hankel transform显示文摘The general expressions of finite Hankel transform are naturally deduced with the help of the property of Bessel functions.The equations in this paper can degenerate into three kinds of boundaries since all the coefficients in the boundary conditions are taken into consideration.The results can be adopted in solving physics problems involving the finite Hankel transform. | JIANG Quan 1,2 & GAO CunFa 1 1 College of Aerospace Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China 2 School of Civil Engineering,Nantong University,Nantong 226019,China | 2010 | Science China(Physics,Mechanics & Astronomy)2010，53，11： | 4 |
| 2 | Effects of electric/magnetic impact on the transient fracture of interface crack in piezoelectric-piezomagnetic sandwich structure: anti-plane case显示文摘Due to the incompatibility of the interlaminar deformations,the interface debonding or cracking usually happens in a layered magnetoelectric(ME)structure under an applied load.In this paper,the transient responses of the anti-plane interface cracks in piezoelectric(PE)-piezomagnetic(PM)sandwich structures are studied by the standard methods of the integral transform and singular integral equation.Discussion on the numerical examples indicates that the PE-PM-PE structure under electric impact is more likely to fracture than the PM-PE-PM structure under a magnetic impact.The dynamic stress intensity factors(DSIFs)are more sensitive to the variation of the active layer thickness.The effects of the material constants on the DSIFs are dependent on the roles played by PE and PM media during the deformation process. | Xing ZHAO Zhenghua QIAN Jinxi LIU Cunfa GAO | 2020 | Applied Mathematics and Mechanics(English Edition)2020，41，1： | 3 |
| 3 | Stress concentration in a finite functionally graded material plate显示文摘This paper is to study the two-dimensional stress distribution of a finite functionally graded material (FGM) plate with a circular hole under arbitrary constant loads. Using the method of piece-wise homogeneous layers, the stress analysis of the finite FGM plate having radial arbitrary elastic properties is made based on the complex variable method combined with the least square boundary collocation technique. Numerical results of stress distribution around the hole are then presented for different loading conditions, different material properties and different plate sizes, respectively. It is shown that the stress concentration in the finite plate is generally enhanced compared with the case of an infinite plate, but it can be significantly reduced by choosing proper change ways of the radial elastic modulus. | YANG QuanQuan GAO CunFa CHEN WenTao | 2012 | Science China(Physics,Mechanics & Astronomy)2012，55，7： | 3 |
| 4 | Theoretical analysis on elastic buckling of nanobeams based on stress-driven nonlocal integral model显示文摘Several studies indicate that Eringen's nonlocal model may lead to some inconsistencies for both Euler-Bernoulli and Timoshenko beams, such as cantilever beams subjected to an end point force and fixed-fixed beams subjected a uniform distributed load. In this paper, the elastic buckling behavior of nanobeams, including both EulerBernoulli and Timoshenko beams, is investigated on the basis of a stress-driven nonlocal integral model. The constitutive equations are the Fredholm-type integral equations of the first kind, which can be transformed to the Volterra integral equations of the first kind. With the application of the Laplace transformation, the general solutions of the deflections and bending moments for the Euler-Bernoulli and Timoshenko beams as well as the rotation and shear force for the Timoshenko beams are obtained explicitly with several unknown constants. Considering the boundary conditions and extra constitutive constraints, the characteristic equations are obtained explicitly for the Euler-Bernoulli and Timoshenko beams under different boundary conditions, from which one can determine the critical buckling loads of nanobeams. The effects of the nonlocal parameters and buckling order on the buckling loads of nanobeams are studied numerically, and a consistent toughening effect is obtained. | Peng JIANG Hai QING Cunfa GAO | 2020 | Applied Mathematics and Mechanics(English Edition)2020，41，2： | 2 |
| 5 | Axisymmetric stress in an elec- trostrictive hollow cylinder under electric loading 显示文摘 | Jiang Quan Gao Cunfa | 2010 | Acta Mechanica2010，211，34： | 1 |
| 6 | Fracture of electrostrictive solids sub- jected to combined mechanical and electric loads 显示文摘 | Gao Cunfa Mai Y W | 2010 | Engi- neering Fracture Mechanics2010，77，10： | 1 |
| 7 | Solution of a crack in an electrostrictiv solid 显示文摘 | Gao Cunfa Mai Y W Zhang Ning | 2010 | International Journal of Solids and Structures2010，47，34： | 1 |
| 8 | Influence of mechanical stresses on partial discharge in a piezoelectric solid containing cavities 显示文摘 | Gao Cunfa | 2008 | Engineering Fracture Mechanics2008，75，： | 1 |
| 9 | Analytic solution for a circular nano-inhomogeneity in a finite matrix显示文摘The Gurtin-Murdoch model has found wide applications in analyzing the mechanical behaviors of nanocomposites with surface/interface effect. In the existing literature, the matrix is usually assumed to be infinite and the surface/interface effect is considered only at the inhomogeneity-matrix interface. This assumption is indeed valid as the matrix is usually at macroscale rather than nanoscale. However, if the size of the matrix decreases to the nanoscale too, the surface/interface effect will have to be considered at the outer boundary of the matrix. In this paper, the plane deformation of a circular nano-inhomogeneity embedded inside a finite circular matrix (which implies the matrix is also at nanoscale) is investigated. The stress boundary conditions are given at the inhomogeneity-matrix interface and the outer boundary of the matrix by the G-M model. The analytic solution for the stress field is finally obtained through the complex variable method. The results show that the stress field inside the inhomogeneity is still uniform (size-dependent) when the surface/interface effect is considered. In addition, the stress field inside the bulk (including the inhomogeneity and the matrix) can be influenced not only by the size and elastic constant of the inhomogeneity, but also by those of the matrix. | Shuang Wang Zengtao Chen Cunfa Gao | 2019 | Nano Materials Science2019，1，2： | 1 |
| 10 | Thermal stresses around a circular inclusion with functionally graded interphase in a finite matrix显示文摘Based on the theory of the complex variable functions, the analysis of non-axisymmetric thermal stresses in a finite matrix containing a circular inclusion with functionally graded interphase is presented by means of the least square boundary collocation technique. The distribution of thermal stress for the functionally graded interphase layer with arbitrary radial material parameters is derived by using the method of piece-wise homogeneous layers when the finite matrix is subjected to uniform heat flow. The effects of matrix size, interphase thickness and compositional gradient on the interfacial thermal stress are discussed in detail. Numerical results show that the magnitude and distribution of interfacial thermal stress in the inclusion and matrix can be designed properly by controlling these parameters. | YANG QuanQuan GAO CunFa | 2014 | Science China(Physics,Mechanics & Astronomy)2014，57，10： | 1 |
| 11 | Axisymmetric stress in an electrostrictive hollow cylinder under electric loading显示文摘 | Jiang Quan Gao Cunfa | 2010 | Acta Mechanica2010，211，34： | 1 |
| 12 | Permeable cracks between dissimilar piezoelectric materias显示文摘 | Gao Cunfa | 2000 | Journal of Solids and Structures2000，37，： | 1 |
| 13 | Closed-Form Solution for a Circular Nanohole with Surface Effects Under Uniform Heat Flux显示文摘This paper investigates the steady-state thermoelastic problem of a circular nanohole embedded in an infinitely large elastic plane subjected to a uniform far-field heat flux.A lowly conductive surface model is used to account for the effects of surface phonon scattering,while the complete Gurtin–Murdoch model is utilized to characterize the effects of surface tension and surface elasticity.The closed-form solution to the temperature and stress field surrounding the hole is derived in the context of complex variable methods.Several numerical examples are presented to analyze the influence of surface effects on thermal stress fields.It is shown that surface effects induce notable increases in normal and shear stresses around the hole.Specifically,all three stress components(hoop,normal,and shear)in the vicinity of the hole exhibit substantial augmentation with increasing surface tension and surface modulus.In particular,it is found that the presence of surface effects amplifies the variation in stress gradients and intensifies stress concentration around the hole. | Jieyao Tang Jieyan Zhao Haibing Yang Cunfa Gao | 2024 | Acta Mechanica Solida Sinica2024，37，1： | 0 |
| 14 | Mechanical properties of multi-scale germanium specimens from space solar cells under electron irradiation显示文摘During long-term service in space,Gallium Arsenide(GaAs)solar cells are directly exposed to electron irradiation which usually causes a dramatic decrease in their performance.In the multilayer structure of solar cells,the germanium(Ge)layer occupies the majority of the thickness as the substrate.Due to the intrinsic brittleness of semiconductor material,there exist various defects during the preparation and assembly of solar cells,the influences of which tend to be intensified by the irradiation effect.In this work,first,Ge specimens for mechanical tests were prepared at scales from microscopic to macroscopic.Then,after different doses of electron irradiation,the mechanical properties of the Ge specimens were investigated.The experimental results demonstrate that electron irradiation has an obvious effect on the mechanical property variation of Ge in diverse scales.The four-point bending test indicates that the elastic modulus,fracture strength,and maximum displacement of the Ge specimens all increase,and reach the maximum value at the irradiation dose of 1×10^(15)e/cm^(2).The micrometer scale cantilever and nanoindentation tests present similar trends for Ge specimens after irradiation.Atomic Force Microscope(AFM)also observed the change in surface roughness.Finally,a fitting model was established to characterize the relation between modulus change and electron irradiation dose. | Jian QIU Maliya HEINI Jusha MA Wenjia HAN Xunchun WANG Jun YIN Yan SHI Cunfa GAO | 2024 | Chinese Journal of Aeronautics2024，37，1： | 0 |
| 15 | Partial discharge-induced crack growth in dielectric materials显示文摘Partial discharge(PD) of an air-filled semi-permeable crack in a dielectric material is studied based on the streamer-type discharge mechanism to explore the effects of applied mechanical-electric fields on crack growth.Within the frame of two-dimensional deformation,the electric field inside the crack is first derived by taking the crack deformation into account.Then,the effects of electric field before PD are discussed through considering the contribution of the induced electric field inside the deformed crack space to the total energy release rate.Finally,PD and its effects on crack growth are investigated.It is found that:(1) before PD,the applied electric field always retards crack growth;(2) during PD,the applied electric field can induce crack growth in dielectric materials. | LUO JiaCheng,GAO CunFa & DAI XiangHua College of Aerospace Engineering,Nanjing University of Aeronautics & Astronautics,Nanjing 210016,China | 2010 | Science China(Physics,Mechanics & Astronomy)2010，53，5： | 0 |
| 16 | Semi-analytic solution of Eringen's two-phase local/nonlocal model for Euler-Bernoulli beam with axial force显示文摘Eringen's two-phase local/nonlocal model is applied to an Euler-Bernoulli nanobeam considering the bending-induced axial force, where the contribution of the axial force to bending moment is calculated on the deformed state. Basic equations for the corresponding one-dimensional beam problem are obtained by degenerating from the three-dimensional nonlocal elastic equations. Semi-analytic solutions are then presented for a clamped-clamped beam subject to a concentrated force and a uniformly distributed load, respectively. Except for the traditional essential boundary conditions and those required to be satisfied by transferring an integral equation to its equivalent differential form, additional boundary conditions are needed and should be chosen with great caution, since numerical results reveal that non-unique solutions might exist for a nonlinear problem if inappropriate boundary conditions are used. The validity of the solutions is examined by plotting both sides of the original integro-differential governing equation of deflection and studying the error between both sides. Besides, an increase in the internal characteristic length would cause an increase in the deflection and axial force of the beam. | Licheng MENG Dajun ZOU Huan LAI Zili GUO Xianzhong HE Zhijun XIE Cunfa GAO | 2018 | Applied Mathematics and Mechanics(English Edition)2018，39，12： | 0 |
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