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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.
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.
The boundary conditions are satisfied exactly at all points on the boundaries.
The condition of continuity between the inner annular support and the plate is satisfied exactly.
Similar(22)
This approach allows to satisfy exactly the Piola compatibility condition.
The states x1 and y1 satisfy exactly the same PDL formulas.
M1 satisfies exactly the formulas satisfied by M without violating condition (iii), hence it is a characteristic normal matrix for S2 (M1 is the Lindenbaum algebra for S2).
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.
In order to eliminate N i from Eq. (45), the stress function ϕ = ϕ r, θ, t) is introduced; this satisfies exactly Eqs.
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