Previously, we tried to show that the data of the relaxation function ([phi]) decays in accordance with the time-temperature superposition principle
, in which the extrapolation of the enthalpy-temperature (H-T) relation was used to derive the [phi] value.
in mathematical models of the factual contribution distribution of linear sources of distortion in voltage distortion at the point of common coupling.
According to superposition principle
, the total settlement of the ground surface caused by the double tunnels excavation at the point (X, 0) of x-z coordinates in 2D can be expressed by
Most models are based on the step response of the heat transfer rate and use the superposition principle
to compute the response to an arbitrary load profile.
An original method based on the Time-Temperature Superposition Principle
(TTSP) is proposed to determine viscous energy dissipation at any temperature and speed.
The quantum superposition principle
, together with entanglement, dramatically contrasts the quantum from the classical description of reality.
Quantum theory is based on three fundamental axioms: measurement principle, superposition principle
and entanglement, figure 3.
Using the linear superposition principle
one can see that u(x,t) = v(x,t) + w(x,t), where v(x,t) and w(x,t) are electric fields of the pulses propagating along positive direction of x axis (from left to right) and in opposite direction (from right to left) respectively.
2) with the new coordinate system, superposition principle
applied to states I and II yields the stress induced in any point of the infinite space:
In a case when the two thermal energy sources are present temperature distribution in the area around them could be calculated by applying superposition principle
For single or double circuit lines, two dimensional numerical analysis is sufficiently accurate in the majority of practical cases and the magnetic induction is computed by using Biot-Savart's law and the superposition principle
The topics include the time-temperature-age superposition principle
for predicting the long-term response of linear viscoelastic materials, predicting the viscoelastic behavior of polymer nano-composites, fiber-bundle models to analyze creep rupture in polymer matrix composites, the continuum-damage mechanical modeling of creep damage and fatigue, accelerated testing methodology for predicting long-term creep and fatigue, and monitoring the structural health of composite structures for durability.