Based on the assumption of Terzaghi’s consolidation theory [1], the 1D consolidation equation under time-dependent loading can be expressed as follows:∂ε(z,t)∂t=kvγw∂2σ′(z,t)∂z2where σ′(z,t) is the effective Derivation of semi-analytical solution Applying the Laplace tr...
“Methods: Detailed derivation of the corner-to-corner impedance”. The idea is to first consider the circuit under a doubled system with periodic boundaries whereμin Eq. (2) now labels the momentum eigenmodes\({k}_{x}=\frac{2\pi m}{2N}\),\({k}_{y}=\frac{2\pi n}{2N}\),...
Gordon W B.Derivation of efficient color space conver-sion formulae forn-dimensional interpolation. Proceedings of SPIE the International Society for Optical Engineering . 2003Gordon W B.Derivation of efficient color space conver-sion formulae forn-dimensional interpolation.Pro...
1). Briefly, both layered crystals and non-layered crystals are potentially exfoliable or non-exfoliable, which significantly depends on their interlayer interactions and in-plane resistance. Fig. 1: Illustration of different types of crystals. The exfoliable layered crystal, non-exfoliable layered ...
The acoustic crystal is composed of a triangular array of core-shell cylinders embedded in a water host. By utilizing the point group symmetry of two doubly degenerate eigenstates at the Γ point, we can construct pseudo-time-reversal symmetry as well as pseudo-spin states in this classical ...
The original derivation of the ionic osmotic pressure (Πionic) is the differentiation of the ionic contribution to the Helmholtz free energy (Eq. (4)) with respect to the volume fraction of the fluid,(11)Πionic=−∂Wionic∂ϕf. The diffusion of the ions is not considered here as...
Gordon W B.Derivation of efficient color space conver-sion formulae forn-dimensional interpolation. Proceedings of SPIE the International Society for Optical Engineering . 2003Gordon W B.Derivation of efficient color space conver-sion formulae forn-dimensional interpolation.Proceedings of SPIE the ...
As for the existence of the domain walls, they are naturally introduced in the hysteresis loop in the magnetic field - magnetization curves. Actually the longitudinal resistance Rxx is found to have the peak ~2 h e2 at the ends of the hysteresis loop, which is likely due to the chiral ...
corner-to-corner resistanceWZW modelAlternative derivation of certain trigonometrical sums of the chiral Potts model are given.Generalization of these trigonometrical sums satisfy recursion formulas.The dimension of the space of conformal blocks may be computed from these recursions.Exact corner-to-...
Among them, the mass transfer resistance in the flow field and the diffusion layer of the PEM hydrolysis cell have a very important influence on the above physical and chemical processes. The mass transfer resistance is mainly divided into the diffusion resistance of the reactant products, electro...