The Use of the Concept of Resultant Forces in Geomechanics as an Alternative to Stress Tensor
A. F. Revuzhenko
Chinakal Institute of Mining, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Keywords: Stresses, potential, equilibrium equations, non-Archimedean variables
Abstract
The author introduces the concept of the resultant forces. The equilibrium equations of continuum reduce to finite algebraic equations, and the equations of moments-to differential equations. The components of the resultant forces play the role of the stress field potentials. The formulas connecting the stresses and potentials include the volumetric forces, equilibrium equations and the stress boundary conditions. The planar and three-dimensional cases, and the non-Archimedean space generalization are discussed.
|
