Therefore, the invariants of the stress tensor can reflect the characteristics on the state of deformation. This paper illustrates that the value of the second invariant of the stress deviator can be used to judge the plastic or elastic state of the body, and the sign of the third invariant ...
Second-invariant-preserving Remap of the 2D deviatoric stress tensor in ALE methodsdoi:10.1016/j.camwa.2018.06.012Matěj KlímaMilan KuchaíkJan VelechovskMikhail ShashkovPergamon
The shear, or strain, rate is often calculated based on the square root of the second invariant of rate-of-strain tensor. The tensor itself is made up of all the possible deformation of a fluid element, which includes volumetric and shear deformation. I would like to invite comments from ...
However, most of them have turned out to be insufficient due to inadequate accuracy of the numerical scheme, grid resolution, and turbulence modeling. The recent workshops stated that turbulence modeling may be the most important issue for the problem. This paper presents a new turbulent energy ...
Many fruitful analogies have emerged between the theories of quantum entanglement and thermodynamics, motivating the pursuit of an axiomatic description of entanglement akin to the laws of thermodynamics. A long-standing open problem has been to establis
(Fig.2c) have similar fourfold patterns with 45°-oriented lobes for both polarities. For each bias polarity, these pattern symmetries appear to be invariant with the magnitude of the voltage, and thus can be fitted using a second-order[Math Processing Error]χ(2)susceptibility tensor with ...
Launder, B. E., Reece, G. L., and Rodi, W., 1975, “Progress in the development of a Reynolds-stress turbulence closure,” J. Fluid Mech. Lewellen, W. C., 1977, “Use of invariant modeling,” Handbook of Turbulence. Volume 1: Fundamentals and Applications (W. Frost, T. H. Moul...
Table 5 contrasts yield functions which employ a single invariant (von Mises, J2), or multiple invariants (J2/J3) with anisotropic yield surfaces [Hill (Hill 1948), Cazacu–Plunkett–Barlat (Cazacu et al. 2006)]. The labels Hill and CPB06 represent the Hill and Cazacu–Plunkett–Barlat ...
gradient energy terms allow for an effective prediction of the onset of internal shear boundary layers which are transition zones between two different shear deformation modes. The existence of these boundary layers cannot be described by a simple first-gradient model, and its features are related ...
2012 The importance of the second strain invariant in the constitutive modeling of elastomers and soft biomaterials. Mech. Mater. 51, 43-52. (doi:10.1016/j.mechmat.2012.03.007)Horgan CO, Smayda MG (2012) The importance of the second strain invariant in the constitutive modeling of elastomers...