scholarly journals A dynamical model of a crystal structure. III

1949 ◽  
Vol 196 (1045) ◽  
pp. 182-194 ◽  
Keyword(s):  
Repulsive Interaction ◽  
Shear Stresses ◽  
Displacement Curve ◽  
Plastic Yielding ◽  
Maximum Shear Strain ◽  
Perfect Lattice ◽  
Interaction Terms ◽  
Shear Strains ◽  
Sine Law ◽  
Small Shear

A calculation of the maximum shear strain under which a two-dimensional close-packed lattice is stable has been carried out in terms of the forces between the lattice components. Two types of force were used; those between floating bubbles, which enabled a comparison with experiments on actual rafts of bubbles to be made, and also the forces derived from a potential V = Ae β r 2 , which form has been frequently proposed as an approximation to the repulsive interaction terms between metal ions. The conclusion reached is that this maximum strain may be considerably less than that deduced from a simple sine law approximation to the shear force versus displacement curve. Detailed consideration is given to edge effects in bubble rafts, and reasonable agreement with experimental results obtained. The overall result is that the formation of dislocations and consequent plastic yielding can occur in an initially perfect lattice only at quite large shear strains. The analogy with metals is discussed, and we conclude that the low strengths of metallic single crystals are explicable only on the assumption that they are not perfect and that dislocations already exist in them and move under very small shear stresses.

Rheological properties of ethylene-propylene copolymers at small shear stresses

1982 ◽  
Vol 24 (6) ◽  
pp. 1488-1494 ◽  
Author(s):  
N.P. Zoteyev ◽  
G.M. Bartenev ◽  
N.V. Yermilova ◽  
O.I. Zoteyeva
Keyword(s):  
Rheological Properties ◽  
Shear Stresses ◽  
Ethylene Propylene ◽  
Small Shear

scholarly journals Cyclic and Permanent Shear Strains of a Soft Cohesive Soil Subjected to Combined Static and Cyclic Loading

2020 ◽  
Vol 10 (23) ◽  
pp. 8433
Author(s):  
Hernán Patiño ◽  
Rubén Galindo ◽  
Claudio Olalla Marañón
Keyword(s):  
Simple Shear ◽  
Cohesive Soil ◽  
Mediterranean Coast ◽  
Vertical Stress ◽  
Experimental Program ◽  
Shear Stresses ◽  
Shear Tests ◽  
Cyclic Shear ◽  
Shear Strains ◽  
Number Of Cycles

This paper refers to cyclic shear strains (γc) and permanent shear strains (γp) of a soft cohesive soil, when both monotonic shear stresses (τo) and cyclic shear stresses (τc) are applied. The research is backed by an extensive experimental program with 139 cyclic simple shear tests that included identification and classification tests. These cyclic simple shear tests were conducted under different levels of stresses, τo, before the cyclic phase. Laboratory tests were carried out on undisturbed samples from the Port of Barcelona, located in Spain on the Mediterranean coast, and characterized by a monotonic strength (τmax) approximately equal to 30% of the initial effective vertical stress (σ′ov). The samples were taken at depths between 29 and 52 m and correspond to an initial effective vertical stress between 277 and 413 kPa, respectively. In general, the results indicate that: (a) the combination of τo and τc controls the generation of γc and γp, (b) it is not always true that when τo/σ′ov + τc/σ′ov ≈ τmax/σ′ov, the soil reaches failure cyclically, and (c) empirical relations useful for design can be established between γc, γp, and the number of cycles (N), for different relationships varying (τo/σ′ov) between 0% and 25%.

Viscometric Analysis of Dispersions at Small Shear Stresses

1956 ◽  
Vol 27 (5) ◽  
pp. 468-471 ◽  
Author(s):  
Raymond R. Myers ◽  
John C. Miller ◽  
A. C. Zettlemoyer
Keyword(s):  
Shear Stresses ◽  
Small Shear

Influence of gas bubbles on creep of copper under small shear stresses

1986 ◽  
Vol 2 (2) ◽  
pp. 129-132 ◽  
Author(s):  
V.V. Kutumbarao ◽  
G.W. Greenwood
Keyword(s):  
Gas Bubbles ◽  
Shear Stresses ◽  
Small Shear

Direct Strain Oscillation: a new oscillatory method enabling measurements at very small shear stresses and strains

2002 ◽  
Vol 41 (4) ◽  
pp. 356-361 ◽  
Author(s):  
Jörg Läuger ◽  
Klaus Wollny ◽  
Siegfried Huck
Keyword(s):  
Shear Stresses ◽  
Small Shear

scholarly journals Isoperimetric problems for a nonlocal perimeter of Minkowski type

2017 ◽  
Vol 2 (1) ◽  
Author(s):  
Annalisa Cesaroni ◽  
Matteo Novaga
Keyword(s):  
Isoperimetric Inequality ◽  
Repulsive Interaction ◽  
Isoperimetric Problems ◽  
Quantitative Version ◽  
Interaction Terms ◽  
Existence Of Minimizers ◽  
Non Local

AbstractWe show a quantitative version of the isoperimetric inequality for a non local perimeter of Minkowski type. We also apply this result to study isoperimetric problems with repulsive interaction terms, under volume and convexity constraints.We prove existence of minimizers, and we describe their shape as the volume tends to zero or to infinity.

Morphology of Stress-Corrosion Cracks In Notched Specimens of Austenitic Stainless Steels

CORROSION ◽  
1964 ◽  
Vol 20 (5) ◽  
pp. 174t-178t ◽  
Author(s):  
J. C. SCULLY ◽  
T. P. HOAR
Keyword(s):  
Stainless Steel ◽  
Austenitic Stainless Steel ◽  
Tensile Stress ◽  
Stress Corrosion ◽  
Stress Corrosion Cracking ◽  
Stainless Steels ◽  
Austenitic Stainless Steels ◽  
Shear Stresses ◽  
Maximum Shear Strain ◽  
Notched Specimens

Abstract The pattern of stress-corrosion cracking of notched specimens of an 18 Cr-8 Ni austenitic stainless steel stressed in 42 percent aqueous magnesium chloride solutions is described. It illustrates the action of both tensile and shear stresses in promoting fracture: cracks are nucleated along directions of maximum shear strain and their propagation paths are determined by these and the acting tensile stress.

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