Sentence examples for using the classical theory from inspiring English sources

Structure of ultrasonically treated rubbers, as recently shown by us, can be analyzed using the classical theory of rubber network statistics.

Due to soft core, the displacements of the top and bottom skins are different and hence, instead of using the classical theory a higher-order theory is used.

Nucleation rate constants were calculated and correlated analytically with the respective potentials, using the classical theory of heterogeneous nucleation, which though fails to lead to reasonable values for the critical nucleus size.

By working on one edge (e_{i}), using the classical theory in [8], pp.169-171, and the results given in [4], we can get the following lemmas.

The free vibration frequencies calculated by using the classical theory of thin plates are higher than those obtained by the Mindlin theory of plates (Mindlin 1951), in which the transverse shear and rotary inertia effects are included.

Then, by using the classical theory for elliptic systems, we have |nabla{v}|_{BMO}leq Cbigl(bigl| P m,n -P tilde{m},n -P tilde{m}r| _{L^{2}}+bigl| P(m,tilde{n}de{m},tilde{n})bigr| _{L^{2}fty}+bigl|leq C( bar{m}), which together with (2.72) imP mes |nabla{v}|_{L^{infty}}leq Cbigl(1+lnbigl(e+bigl| nabla^{2}vbigr| _{L^{q}}bigr)bigr).

The free flexural vibration of symmetric rectangular honeycomb panels having simple support boundary conditions is investigated in this paper using the classical plate theory, Mindlin's improved plate theory, and Reddy's third-order plate theory.

The free flexural vibration of symmetric rectangular honeycomb panels having SCSC edge supports is investigated in this paper using the classical plate theory and Reddy's third-order plate theory.

The results obtained for plate with various thickness ratios using the theory are not only substantially more accurate than those obtained using the classical plate theory, but are almost comparable to those obtained using higher order theories having more number of unknown functions.

The formulation is derived using the classical plate theory (CPT) in conjunction with the nonlocal elasticity theory.

This simple result is developed using the classical plate theory and is shown to hold true when higher order plate theories or the three dimensional elasticity theory is used.