Sentence examples for be obtained explicitly for from inspiring English sources

However it can only be obtained explicitly for spherical containers.

The expressions of these direct and cross damping matrices may be obtained explicitly for some common spatial kernel functions and Euler Bernoulli beam theory.

Solving resulting equations, expressions for the electroelastic field in the entire plane are obtained explicitly for a cracked piezoelectric material subjected to uniform combined electromechanical loading.

For the case of transverse bending and in-plane extension of the strips, these decaying state conditions are obtained explicitly for the first time when the mixed edge-data are imposed on the strip edge.

This model allows the normal and tangential vectors of the abrasive wheel to be obtained explicitly.

can not be obtained explicitly and should be calculated numerically using (5) and (47).

Conditions for almost-sure asymptotic stability are obtained explicitly.

Using the rectangular projection method, the analytical expression for the Fourier spectrum of the quasicrystal structure is obtained explicitly.

The viscoelastic Hill tensor required for the calculation of the effective viscoelastic tensors is obtained explicitly in the Laplace-Carson space in terms of Fourier series.

While for the other loading cases, new types of solutions are obtained explicitly.

By employing Stroh-like formalism for the coupled stretching bending analysis, analytical closed form solutions are obtained explicitly.