Theoretical or Mathematical/ continuum mechanicsfluidsfree energyfunctional analysishydrostaticsstress analysisstress-strain relations/ spatially nonlocal functionalinhomogeneous fluidsinhomogeneitiesone component simple fluidWe derive explicit expressions for the stress tensor for general inhomogeneities in a one-...
There can be no doubt as to the importance of vortical motion in fluid mechanics. Yet, very little attention is given typically to the balance law of angular momentum and to its role in defining the fundamental character of stress, which as a result is usually assumed as a symmetric tensor...
In elementary mechanics, the subscripts are often denoted x, y, z rather than 1,2,3. The components of the stress tensor depend on the orientation of the plane that passes through the point under consideration, i.e on the viewpoint of the observer. This would lead to the incorrect ...
The experiments are performed in two main stages. The first stage includes creating the two through-going flaws in a specimen, drying the specimen, saturating the specimen with one of three pore fluid types, and then painting and speckling the specimen. The second stage involves performing the u...
If we choose K(ϱ)=1ϱ, the Korteweg stress tensor is called Bohm potential as 2ϱ∇(Δϱϱ) in quantum mechanics, which arises from the fluid dynamical formulation of the single-state Schrödinger equation. Therefore, the system (1.1) is called quantum Euler system (QE), while...
Calculating horizontal stress orientations with full or partial knowledge of the tectonic stress tensor. Geophys. J. Int. 170, 1328–1335 (2007). Article Google Scholar Toda, S., Stein, R. S., Sevilgen, V. & Lin, J. Coulomb 3.3 Graphic-Rich Deformation and Stress-Change Software for ...
Modern geophysics highlights that the slip behaviour response of faults is variable in space and time and can result in slow or fast ruptures. However, the origin of this variation of the rupture velocity in nature as well as the physics behind it is sti
Defining the stress vector T0 as a small force dF on the deformed body divided by a small, undeformed area dA0, T0=dFdA0, first Piola-Kirchhoff tensor SI is defined by (B6.27)T0=SIN View chapter Chapter Fluid Mechanics of Viscoelasticity Rheology Series Book series1997, Rheology Series Exp...
Preliminary results of investigations made by the authors are included in the article.doi:10.1016/0021-8928(67)90071-8A.T. ListrovElsevier LtdJournal of Applied Mathematics and MechanicsListov A (1967) Model of a viscous fluid with an antisymmetric stress tensor. PMM J Appl Math Mech 31:112-...
One derives the mechanical equilibrium equation, as we do with all relevant transport equations, as a functional derivative from the free-energy functional δ .0 = ∇σ = ∇ F δ (7.2) in vector notation, where the stress .σ and strain . are rank-two tensors. The difficulty now is...