Response of a Viscoelastic Annulus to a Step Transverse Load

1970 ◽  
Vol 92 (3) ◽  
pp. 425-434
Author(s):  
S. R. Robertson
Keyword(s):  
Plane Strain ◽  
Poisson’S Ratio ◽  
Logarithmic Decrement ◽  
Poisson's Ratio ◽  
Transverse Load ◽  
Transverse Loads ◽  
Work Done

The problem of finding the response of a viscoelastic annulus in plane strain to step, transverse loads is solved. It is solved by employing Valanis’ method which assumes constant Poisson’s ratio. The resulting displacements are used to calculate the work done by the applied transverse load for various thicknesses of the annuli. A simple spring-dashpot model is then fitted to the work versus time curves so as to provide the logarithmic decrement for design.

Settlement of a strip footing on a confined clay layer

1983 ◽  
Vol 20 (3) ◽  
pp. 535-542
Author(s):  
Brian B. Taylor ◽  
Elmer L. Matyas
Keyword(s):  
Stress Distribution ◽  
Plane Strain ◽  
Poisson’S Ratio ◽  
Ground Surface ◽  
Finite Depth ◽  
Strip Footing ◽  
Poisson's Ratio ◽  
Clay Layer ◽  
Line Load ◽  
Settlement Analysis

A procedure is described that permits an estimation of either consolidation or immediate settlements of a uniformly loaded, flexible strip footing founded below the ground surface. The soil above the base of the footing is sand, and the soil below the base consists of clay, which extends to a finite depth. The procedure is based on a solution of Kelvin's equations for a line load acting within an infinite solid. Charts are presented which permit an estimate of settlement for various compression moduli, Poisson's ratio, and clay thickness.The proposed method predicts consolidation settlements that are generally slightly greater than those predicted from Boussinesq theory. Consolidation settlements increase as Poisson's ratio increases. Immediate settlements are slightly greater than those reported previously. Keywords: consolidation, elasticity, footings, plane strain, settlement analysis, stress distribution.

Plane-strain investigation of rubber specimens using a variable Poisson's ratio

1972 ◽  
Vol 5 (2) ◽  
pp. 284-285
Author(s):  
B. M. Gorelik ◽  
M. A. Maiskaya ◽  
V. G. Loginov ◽  
G. I. Fel'dman
Keyword(s):  
Plane Strain ◽  
Poisson’S Ratio ◽  
Poisson's Ratio

Behaviour and ultimate strength of continuous steel plates subjected to uniform transverse loads

1986 ◽  
Vol 13 (1) ◽  
pp. 76-85 ◽  
Author(s):  
K. P. Ratzlaff ◽  
D. J. L. Kennedy
Keyword(s):  
Lower Bound ◽  
Ultimate Strength ◽  
Poisson’S Ratio ◽  
Plastic Hinge ◽  
Offshore Structures ◽  
Poisson's Ratio ◽  
Transverse Load ◽  
The Arctic ◽  
Membrane Action ◽  
Finite Element Program

The authors previously established that an initially flat rectangular steel plate, clamped on all four edges, displays three modes of behaviour as the intensity of a distributed transverse load increases: elastic flexural-membrane action, inelastic flexural-membrane action, and inelastic-membrane action.For a long narrow plate, elastic flexural-membrane action exists up to the load at which yielding of the extreme fibres along the long edges occurs. Subsequent plastic hinge formation along the long edges reduces the stiffness. The second stage ends with complete yielding in tension along the long edges. From this point onward, the plate acts essentially as a membrane straining inelastically as yielding gradually progresses from both edges toward the centre. A lower bound to this behaviour is obtained by assuming that Poisson's ratio is the elastic value and the maximum membrane stress is the yield stress. A higher lower bound is obtained using the plastic value of Poisson's ratio. The load–deflection curve gradually moves from the lower value to the higher and, because the edge forces can exceed yield, will finally exceed the latter, as confirmed by tests.A finite element program modelling plane stress conditions, the inelastic Poisson's ratio, and the stress–strain behaviour to failure gave a load–deflection response closely following the three predicted regions of behaviour. Two failure criteria have been established: a limiting tensile strain due to bending and tension at the edge and the shear resistance there. The behaviour and failure loads have been confirmed by two tests. Strain measurements taken during the tests substantiate, in general, the predicted behaviour.Implications of using the ultimate strength of plates for the design of offshore structures for oil exploration and production in the Arctic are presented. Key words: deflection, design, finite elements, inelastic, membrane, plates, steel, strains, stresses, transverse load, ultimate strength.

Parameters governing load trasnfer for single reinforcing members

1973 ◽  
Vol 8 (1) ◽  
pp. 35-42
Author(s):  
N C Remedios ◽  
W G Wood
Keyword(s):  
Aspect Ratio ◽  
Plane Strain ◽  
Plane Stress ◽  
Poisson’S Ratio ◽  
Stress Transfer ◽  
Quantitative Comparison ◽  
Poisson's Ratio ◽  
Stiffness Parameter ◽  
Stress Diffusion ◽  
Matrix Modulus

The diffusion of stress between a single reinforcing member and a matrix is shown to be a function of three main parameters. These are: position along the stiffener; a stiffness parameter which is the product of the ratio of stiffener to matrix modulus and the aspect ratio of the stiffener; a matrix-width parameter. The effects of variations in Poisson's ratio are found to be small so that similar patterns of stress transfer occur in plane-stress and plane-strain systems if the governing parameters for the systems are the same. No quantitative comparison can be made between stress diffusion in plane and axisymmetric systems.

scholarly journals Bond-based peridynamics: A tale of two Poisson's ratios

2019 ◽  
Author(s):  
Jeremy Trageser ◽  
Pablo Seleson
Keyword(s):  
Plane Strain ◽  
Plane Stress ◽  
Poisson’S Ratio ◽  
Poisson's Ratio ◽  
Two Dimensional ◽  
Isotropic Materials ◽  
Stress Models ◽  
Poisson's Ratios ◽  
Poisson’S Ratios

This paper explores the restrictions imposed by bond-based peridynamics, particularly with respect to plane strain and plane stress models. We begin with a review of the derivations in [2] wherein for isotropic materials a Poisson's ratio restriction of 1/4 for plane strain and 1/3 for plane stress is deduced. Next, we show Cauchy's relations are an intrinsic limitation of bond-based peridynamics and specialize this result to plane strain and plane stress models, generalizing the results of [2] and demonstrating the Poisson's ratio restrictions in [2] are simply a consequence of Cauchy's relations. We conclude with a discussion of the validity of peridynamic plane strain and plane stress models formulated from two-dimensional bond-based peridynamic models.

The Model for Calculating Elastic Modulus and Poisson's Ratio of Coal Body

2013 ◽  
Vol 6 (1) ◽  
pp. 36-43 ◽  
Author(s):  
Ai Chi ◽  
Li Yuwei
Keyword(s):  
Elastic Modulus ◽  
Poisson’S Ratio ◽  
Fractured Rock ◽  
Rock Block ◽  
Poisson's Ratio ◽  
Linear Elastic ◽  
Study Results ◽  
The Face ◽  
Block Face ◽  
Coal Rock

Coal body is a type of fractured rock mass in which lots of cleat fractures developed. Its mechanical properties vary with the parametric variation of coal rock block, face cleat and butt cleat. Based on the linear elastic theory and displacement equivalent principle and simplifying the face cleat and butt cleat as multi-bank penetrating and intermittent cracks, the model was established to calculate the elastic modulus and Poisson's ratio of coal body combined with cleat. By analyzing the model, it also obtained the influence of the parameter variation of coal rock block, face cleat and butt cleat on the elastic modulus and Poisson's ratio of the coal body. Study results showed that the connectivity rate of butt cleat and the distance between face cleats had a weak influence on elastic modulus of coal body. When the inclination of face cleat was 90°, the elastic modulus of coal body reached the maximal value and it equaled to the elastic modulus of coal rock block. When the inclination of face cleat was 0°, the elastic modulus of coal body was exclusively dependent on the elastic modulus of coal rock block, the normal stiffness of face cleat and the distance between them. When the distance between butt cleats or the connectivity rate of butt cleat was fixed, the Poisson's ratio of the coal body initially increased and then decreased with increasing of the face cleat inclination.

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