Sentence examples for equilibrium continuity from inspiring English sources

Based on the equilibrium, continuity and energy principles of the multi-phase porous medium, the heat-moisture-deformation (HMD) coupling model is established for the frozen soil foundation in this paper, with the consideration of the force interaction between the soil skeleton and ice particle, and the energy jump behaviors during the phase-changing between ice and water.

Using vertical equilibrium, continuity balance, and a fluid flow relationship, Gibson et al. (1967) developed the following equation for one dimensional large-strain consolidation: ± γ s γ f − 1 d de k 1 + e ∂ e ∂ z + ∂ ∂ Z k 1 + e dσ ' ∂ e de ∂ z + ∂ e ∂ t = 0 (5).

Smith is arguing against a kind of ancient philosophical prejudice that saw balance, continuity, equilibrium as the signs of a well-ordered commonweal — that thought of the good life as one free from the anxiety of change.

Equilibrium and continuity conditions are approximated along the interface between the beam and the plate in the wavenumber domain by a Fourier transform method.

Enforcing equilibrium and continuity conditions along the interface hence yields an analytical solution for the vibration response of the built-up structure.

Stating the equilibrium and continuity conditions at the interfaces and expressing the motion in the plates in terms of the waves in each plate yield the reflection and transmission matrices of the joint.

The Element-Free Galerkin (EFG) method is adopted in this study for solving the governing partial differential equations of equilibrium and continuity of pore fluid flow for numerical simulation of coupled hydro-mechanical problems.

The governing differential equations are solved with unknown wave propagation coefficients multiplied by spatial domain and time domain functions which are inserted into equilibrium and continuity equations at the intersection of the web and flange and into boundary conditions at the edges of the system resulting in 24 algebraic equations.

The method of characteristics is used to solve the equilibrium-based continuity relationships resulting in an algrebraic expression for the recovery of the less strongly adsorbed component.

Consolidation analysis of saturated porous media demands the coupling of solid displacements with the pore fluid pressure via the equilibrium and the continuity of mass.

The theory employs Fourier series representations for fiber, coating and matrix displacement fields in the cylindrical coordinate system that satisfy exactly equilibrium equations and continuity conditions in the interior of the unit cell.