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The three-dimensional HFGMC formulation is performed by analyzing an isolated periodic volume or a repeated unit-cell (RUC) and by subdividing it into sub-volumes (subcells).
With the introduction of micromechanics methods, the elastic constants of the unit cell model of periodic volume representing the whole fabric were extracted from geometrical simplification and homogenization theories.
A model describing non-isothermal sorption of gases within sorbent material with a monodisperse pore structure, in a batch frequency response system, subjected to small periodic volume perturbations is formulated.
With regard to Sakurajima, Tameguri et al. (2005) suggested that harmonic tremors were related to periodic volume changes caused by the resonance of a gas pocket formed at the top of magma-filled and pressurized conduit.
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In this paper, we find that, once the averaging volume is periodic, the convergence of the virial stress and Hardy stress can be accomplished within one single lattice, which is much smaller than what is required by other non-periodic volumes such as a sphere.
An explicit unified form of boundary conditions for a periodic representative volume element (RVE) is presented which satisfies the periodicity conditions, and is suitable for any combination of multiaxial loads.
In practice, periodic stand volume measurements could be taken and used as input to the model to reduce the length of future stand volume projections.
The latter are performed on the periodic representative volume elements containing 30 strongly oblate spheroids representing the penny-shaped cracks.
The first approach involves direct finite element simulations of periodic representative volume elements containing arrangements of pores.
Two of the non-linear models utilise rods and springs and are designed to handle an idealised periodic repetitive volume element of the composite material.
To this end, periodic representative volume elements containing uniform and random dispersions of 50% of parallel non-circular fibres with lobular, polygonal and elliptical shapes were generated.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com