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This approach allows to satisfy exactly the Piola compatibility condition.
The states x1 and y1 satisfy exactly the same PDL formulas.
For some set of PDL formulas X, it consists in grouping into equivalence classes the states of an LTS that satisfy exactly the same formulas in X.
The theory employs Fourier series representations for hollow fiber and matrix displacement fields in the cylindrical coordinate system which satisfy exactly the equilibrium equations and continuity conditions in the interior of the unit cell.
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.
These solutions are bona fide exact solutions of the governing equations for a Coulomb Mohr granular solid, and satisfy exactly the free surface condition along the rat-hole surface, but approximate frictional conditions along the containing boundaries.
Similar(47)
According to this method, kinematic analysis is carried out in the sense that only constraint equations are satisfied exactly, while requirements are satisfied at best.
When these requirements cannot be satisfied exactly, optimal (approximate) solutions are sought.
"So according to the retraction, the authors have satisfied exactly what NSF asked them to do".
The governing equations and conditions are satisfied exactly, based upon the classical theory of elasticity.
The interfacial boundary conditions are satisfied exactly by the coefficients in the Chapman Enskog expansion.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com