Capacity and Transport in Contrast Composite Structures —— Asymptotic Analysis and Applications

----- 反差复合材料结构中的容量与输送：渐近分析与应用

ISBN: 9781439801758 出版年：2009 页码：337 Kolpakov, A A Kolpakov, A G CRC Press

IDEAS AND METHODS OF ASYMPTOTIC ANALYSIS AS APPLIED TO TRANSPORT IN COMPOSITE STRUCTURES Effective properties of composite materials and the homogenization theory Transport properties of periodic arrays of densely packed bodies Disordered media with piecewise characteristics and random collections of bodies Capacity of a system of bodies NUMERICAL ANALYSIS OF LOCAL FIELDS IN A SYSTEM OF CLOSELY PLACED BODIES Numerical analysis of two-dimensional periodic problem Numerical analysis of three-dimensional periodic problem The energy concentration and energy localization phenomena Which physical field demonstrates localization most strongly? Numerical analysis of potential of bodies in a system of closely placed bodies with finite element method and network model Energy channels in non-periodic systems of disks ASYMPTOTIC BEHAVIOR OF CAPACITY OF A SYSTEM OF CLOSELY PLACED BODIES. TAMM SHIELDING. NETWORK APPROXIMATION Problem of capacity of a system of bodies Formulation of the problem and definitions Heuristic network model Proof of the principle theorems Completion of proof of the theorems Some consequences of the theorems about NL zones and network approximation Capacity of a pair of bodies dependent on shape NETWORK APPROXIMATION FOR POTENTIALS OF CLOSELY PLACED BODIES Formulation of the problem of approximation of potentials of bodies Proof of the network approximation theorem for potentials The speed of convergence of potentials for a system of circular disks ANALYSIS OF TRANSPORT PROPERTIES OF HIGHLY FILLED CONTRAST COMPOSITES USING THE NETWORK APPROXIMATION METHOD Modification of the network approximation method as applied to particle-filled composite materials Numerical analysis of transport properties of highly filled disordered composite material with network model EFFECTIVE TUNABILITY OF HIGH-CONTRAST COMPOSITES Nonlinear characteristics of composite materials Homogenization procedure for nonlinear electrostatic problem Tunability of laminated composite Tunability amplification factor of composite Numerical design of composites possessing high tunability amplification factor The problem of maximum value for the homogenized tunability amplification factor What determines the effective characteristics of composites? The difference between design problems of tunable composites in the cases of weak and strong fields Numerical analysis of tunability of composite in strong fields EFFECTIVE LOSS OF HIGH-CONTRAST COMPOSITES Effective loss of particle-filled composite Effective loss of laminated composite material TRANSPORT AND ELASTIC PROPERTIES OF THIN LAYERS Asymptotic of first boundary-value problem for elliptic equation in a region with a thin cover Elastic bodies with thin underbodies layer (glued bodies)