Sentence examples for methods of mechanics from inspiring English sources

In order to receive more rigorous estimates, the introduced approaches can be used in combination with or within the other analytical and numerical methods of mechanics of composites.

Biomechanics is a branch of the field of bioengineering which applies engineering principles and the methods of mechanics to the studies of biological systems.

As a relatively new branch of mechanics, rock mechanics is developed by adopting traditional analytical methods of mechanics based on continuum mechanics.

Geometric mechanics, which develops traditional geometric methods of mechanics, enables one to construct theories of complex coupled systems on the basis of Newtonian axiomatics without recourse to the methods of Lagrangian analytical mechanics, Euler's methods for the dynamics of a rigid body and other theories and principles.

Although the study of the structure and function of biological systems through the methods of mechanics is encompassed by the field of biomechanics, research in the biomechanics of tumors has focused at the macroscopic level on the determination of the mechanical properties of tissue-tumor systems, as summarized in Fig.  12.

Poincaré summarized his new mathematical methods in astronomy in Les Méthodes nouvelles de la mécanique céleste, 3 vol. (1892, 1893, 1899; "The New Methods of Celestial Mechanics").

By methods of statistical mechanics and chemical thermodynamics, it can be shown that the equilibrium constant is related to the change in the thermodynamic quantity called the standard Gibbs free energy accompanying the reaction.

The present opinion, rather generally held by physicists, is that these fundamental particles and forces, treated quantitatively by the methods of quantum mechanics, can reveal in detail the behaviour of all material objects.

Nevertheless, the energy of these states can be measured and models devised in which details of particle position are replaced by averages, such that when the simplified model is treated by the methods of quantum mechanics the measured energy levels emerge from the calculations.

In Section 2 we exploit methods of Statistical Mechanics to derive expressions for probabilities of cylindric events (1.2).

We utilize the methods of continuum mechanics and complex analysis to explore this relationship in the cortex.