Sentence examples for approximation of the theory from inspiring English sources

The small strain, quasistatic approximation of the theory in conjunction with a trilinear Helmholtz free energy function is used to predict the following two experiments: (i) constant deformation-rate phase transformation in a SMA single crystal; and (ii) constant load, temperature-induced transformation in a SMA polycrystalline wire.

Chapter Two contains a survey of methods used to deal with the Newtonian approximation to the theory of the evolution of the mass distribution.

In the presented method for lower bound estimation of the load carrying capacity of structures, it is postulated that the reduced local critical load should be determined taking into account the global pre-critical bending within the first order non-linear approximation to the theory of the interactive buckling of the structure.

The resulting fields are obtained at nanoscale from finite element approximations of the theory.

First, in the past years significant advances have been achieved both in the approximations of the theories used to simulate materials from first-principles [1] and in the codes that implement them (many of which are distributed open-source).

We use the discretized approximation of the above theory where light sources are spaced more frequently than the sampling Nyquist limit dictates.

The first instability zone is found in the system parameters within the first approximation of the perturbation theory.

To investigate this phenomenon accompanied by formation of reflected and refracted quasi-longitudinal and quasi-shear discontinuous waves, a technique based on joint usage of the zero approximation of the ray theory and method of stereomechanical impact is proposed.

Farrell et al [ 1] present in their work a function for the reflectance with radial distribution through the approximation of the diffusion theory.

In general, solutions based on the DE are affected by the intrinsic approximations of this theory, which show different consequences for steady-state and time-dependent sources.

The code, called TRS (Thermal Recycling Simulator), is based on a finite-difference approximation of the potential flow theory.