Abstract: Institute of Mechanics (IM), Chinese Academy of Sciences (CAS), originated from Mechanics Laboratory of Institute of Mathematics (of which CHIEN Wei-zang was the director), was founded under the help of Peking University and Tsinghua University. The founding background and process of IM were retrosp...
Abstract: In numerical simulation the microscopic flow in porous media was combined with the macroscopic porous media model based on the Darcy law. The 3D CFD-DEM was applied to the microstructure of porous media to figure out the inertial resistance and the viscous resistance. Then, the resistances obtained ...
Abstract: Numerical simulation of the 2D fully hydrodynamic equations for the pure fluid in a rectangular channel with horizontal flow for Prandtl number Pr=0.0272 was conducted. Growth and spatiotemporal evolution of the 1D traveling wave patterns in the RayleighBenard convection of the pure fluid were inve...
Abstract: The mechanism and influence factors of mass transfer processes inside brain tissues were analyzed, and a modified mathematical model was built to comprehensively involve the adsorption, the chemical reaction and the anisotropic diffusion inside the brain tissues. Then the model equations were solved...
Abstract: Low-dissipation and high-resolution shock-capturing schemes are of great significance for numerical simulation of flow fields containing shock waves. The WENO-M3 and WENO-MZ3 schemes were proposed with mapping functions based on the classical 3rd-order WENO scheme (WENO-JS3) and the 3rd-order WENO-Z...
Abstract: Interfacial tension (IFT) between CO2 and formation water is one of the most important parameters for CO2 capture and storage, for it controls the transport properties of both phases in the formation. In order to rapidly and accurately predict the IFT of the CO2-brine system, 1 677 sets of measured ...
Abstract: Based on the geometric nonlinear theory for shallow shells, with the virtual work principle and the variational method, the displacement-type geometric nonlinear governing equations for shallow spherical shells in uniform temperature field under uniform external pressure were derived. With the shoot...
Abstract: When a crack in a layered elastic material is perpendicular to the interface, the Jintegral along path Г surrounding the crack tip can be separated into 2 parts: JГ=Jtip+Jint, where Jtip means the J integral generated by the crack tip, and Jint the J integral generated by the interface enclosed by...
Abstract: Deep buried tunnels with different cross-section shapes were analyzed through comparison between the analytical solutions and the approximate solutions obtained by the equivalent radii for the surrounding rock stresses. Firstly, according to the basic theory of complex variable functions, the stress...
Abstract: The Lagrangian stability of complex-valued neural networks with distributed time-varying delays was investigated. By means of the Lyapunov-Krasovskii functional and the matrix inequality techniques, a delay-dependent sufficient condition was obtained to ensure the global exponential stability in a L...
Abstract: The unboundedness of functions was investigated with the recession cones and recession functions. Firstly, the mean value theorem and recession cones were used to characterize the subdifferentials of convex functions on condition of nondifferentiability. Based on the above results, the necessary and...