Sentence examples for relaxation transformation from inspiring English sources

where f : V → V is a transformation (see two transformations: Löwner operator defined in [3], and relaxation transformation defined in [4]).

After the relaxation transformation, the problem of (11) is still a non-convex optimization problem owing to the presence of auxiliary variable τ.

Ultra-fast dynamic mode was caused by collapse of motional cooperativity (α- to β-relaxation transformation).

As a result, the overall kinetics of thermally induced degradation-relaxation transformations tends towards CER behavior with over-unity compressibility index β as it is well illustrated in Fig. 2.

Dislocations introduced in austenite due to stress relaxation of transformation strains are believed to assist bainite transformation accompanying variant selection.

The change in the optical absorption properties results from the stress relaxation and phase transformation owing to the high temperature annealings.

The absence of a twin boundary peak in the martensite formed from the solubilized austenite, as well as the large difference in the strength of the transformation relaxations in the aged and solubilized states of the material are accounted for in terms of the different nature of the predominant twin boundaries in the two different states of the material.

The mesh topologies of these grids are different from the topology of an icosahedral grid and are generated by three processes: grid relaxation via spring dynamics, transformation via an analytical function, and the Schmidt transformation.

A distinction has already been made between chemical relaxation, which involves a transformation between two chemically distinguishable molecules such as the dissociation of nitrogen tetroxide, and physical processes such as the transfer of energy between translational and vibrational states of a molecule displayed by sound absorption in a homogeneous gas.

The termination of these processes can be caused by another mechanism of relaxation, e.g. phase transformation induced by high pressure.

Moreover, the crack initiation energy and crack propagation energy were increased via dynamic stress partitioning and relaxation together with the transformation of metastable austenite.