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Simple shear
About: Simple shear is a research topic. Over the lifetime, 9560 publications have been published within this topic receiving 303669 citations.
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2,971 citations
TL;DR: In this article, it was shown that a sphere moving through a very viscous liquid with velocity V relative to a uniform simple shear, the translation velocity being parallel to the streamlines and measured relative to streamline through the centre, experiences a lift force 81·2μVa2k½/v½ + smaller terms perpendicular to the flow direction, which acts to deflect the particle towards the streamline moving in the direction opposite to V.
Abstract: It is shown that a sphere moving through a very viscous liquid with velocity V relative to a uniform simple shear, the translation velocity being parallel to the streamlines and measured relative to the streamline through the centre, experiences a lift force 81·2μVa2k½/v½ + smaller terms perpendicular to the flow direction, which acts to deflect the particle towards the streamlines moving in the direction opposite to V. Here, a denotes the radius of the sphere, κ the magnitude of the velocity gradient, and μ and v the viscosity and kinematic viscosity, respectively. The relevance of the result to the observations by Segree & Silberberg (1962) of small spheres in Poiseuille flow is discussed briefly. Comments are also made about the problem of a sphere in a parabolic velocity profile and the functional dependence of the lift upon the parameters is obtained.
2,912 citations
TL;DR: In this paper, it was deduced that the general strain energy function, W, has the form W=G4 ∑ i=13(λi−1λi)2+H 4 ∑ t=13 (λi2−1 ε)2 + H 4, where the λi's are the principal stretches, G is the modulus of rigidity, and H is a new elastic constant not found in previous theories.
Abstract: It is postulated that (A) the material is isotropic, (B) the volume change and hysteresis are negligible, and (C) the shear is proportional to the traction in simple shear in a plane previously deformed, if at all, only by uniform dilatation or contraction. It is deduced that the general strain‐energy function, W, has the form W=G4 ∑ i=13(λi−1λi)2+H4 ∑ t=13(λi2−1λi2), where the λi's are the principal stretches (1+principal extension), G is the modulus of rigidity, and H is a new elastic constant not found in previous theories. The differences between the principal stresses are σi[minus]σi=λi∂ W/∂λi[minus]λi∂ W/∂λi.Calculated forces agree closely with experimental data on soft rubber from 400 percent elongation to 50 percent compression.
2,775 citations
TL;DR: In this article, the authors defined the ration of the relative lateral movement of two parallel planes of slip to the distance between them, defined in the same way as the shear strain considered in the theory of elasticity.
Abstract: Experiments on the plastic deformation of single crystals, of metals and of rock salt have given results which differ in detail but possess certain common characteristics. In general the deformation of a single crystal in tension or compression consists of shear strain in which sheets of the crystal parallel to a crystal plane slip over one another, the direction of motion being some simple crystal-lographic axis. The measure of this strain, which will be represented by s , is the ration of the relative lateral movement of two parallel planes of slip to the distance between them. Thus it is defined in the same way as the shear strain considered in the theory of elasticity.
1,990 citations
01 Jul 1995-Materials Science and Engineering A-structural Materials Properties Microstructure and Processing
TL;DR: In this paper, simple shear can be considered a "near ideal" deformation method for structure and texture formation in metal-working, and the unusual effects that are observed in both the structure and physical-mechanical properties of various metals and alloys suggest many new applications of the simple Shear method in materials synthesis and processing.
Abstract: It is shown that simple shear can be considered a “near ideal” deformation method for structure and texture formation in metal-working. Equal channel angular extrusion (ECAE) is a special industrial process employed to realize this method. In comparison with traditional metal-working operations, this process has a number of advantages; the most important is that extra-large, strictly uniform and unidirectional deformations can be produced under relatively low pressure and load for massive products. The unusual effects that are observed in both the structure and physical-mechanical properties of various metals and alloys suggest many new applications of the simple shear method in materials synthesis and processing.
1,886 citations