In this paper, we build the thermodynamic and

elastic theory for binary interstitial alloy with bcc structure by the statistical moment method (SMM) [8-10] and apply the obtained theoretical results to alloy FeC.

In this paper, the nonlocal

elastic theory and element-free method are developed for the thermal vibration behavior of DLGSs.

Similar to the conventional elastic materials, the physical equations of coal solid skeletons can be given based on

elastic theory:

Based on the above analysis, the three-dimensional

elastic theory is presented to overcome the weakness of the two-dimensional plate theories, which does not rely on any hypotheses or deserve any numerical precision and can be used to solve the vibration problem of thick rectangular plates.

According to

elastic theory [17], the strain energy U stored in the rock slab is

In other words, the linear

elastic theory becomes not locally symmetric.

The Effect of Loading Configuration and Footprint Geometry on Flexible Pavement Response Based on Linear

Elastic Theory, Road Materials and Pavement Design 9(2): 159-179.

The stress components could be calculated by

elastic theory:

Based on the nonlocal

elastic theory, which accounts for the small-scale effect by assuming the stress at a reference point as a function of the strain at every point in the body, the governing equations for the elastic displacement vector and defect density fields in an isotropic laser-excited solid have been derived.

Then, to assess rock materials' constitutive behaviour, firstly, the elastic behaviour of material has been presented based on Hooke's

elastic theory. Thus, determining the most probable failure plane, its corresponding yield criterion and its derivatives, also, relying on elastic-perfect plastic formulation, plastic behaviour of rock materials is evaluated in general stress space using material's constitutive matrix.

Elastic theory of torsion, elastic beam and plate theories, and contact mechanics are the traditional topics.