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Four balance equations (water and air mass, momentum (mechanical equilibrium) and energy conservation equations) are taken into consideration.
Hence, the thermo-mechanical problem to be solved consists of the mechanical equilibrium and the established heat equations.
By minimizing the system total free energy under constraints, the coupled field equations of quasi-static mechanical equilibrium and diffusion-controlled surface evolution are obtained.
Monte Carlo simulation was used to attain the system mechanical equilibrium, and used to update spin configurations via the modified Wolff algorithm.
The model employs the Landau Lifshitz Gilbert equation along with mechanical equilibrium and Gauss' Law for magnetism to calculate the temporal and spatial distributions of the magnetic moments.
A stochastic cellular automaton is used to run simulations of nominally constant structure creep where simple rules are used to ensure rough compliance with mechanical equilibrium and compatibility.
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The governing equations are derived based on variational principle considering thermo-mechanical equilibrium and the spatial distribution of the nonlocal volume fraction of martensite during transformation.
Five mechanical equilibrium equations and two electrical equations are established as the governing equations.
Contrarily to Godunov type schemes the relaxed state corresponds to mechanical equilibrium only and remains out of thermal equilibrium.
A thermodynamic and mechanical equilibrium between gaseous and liquid phases is assumed for the two-phase flow.
Based on modified Darcy's and Fourier's laws, equations of mechanical equilibrium, mass conservation and energy conservation are derived by introducing void ratio and volumetric liquid water content into the model.
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