An Educational Elasticity Problem With Friction, Part 2: Unloading for Strong Friction and Reloading

1982 ◽  
Vol 49 (1) ◽  
pp. 47-51 ◽  
Author(s):  
Maria Comninou ◽  
John Dundurs
Keyword(s):  
Elasticity Problem ◽  
Concentrated Force ◽  
Frictional Slip

This paper examines the case of unloading with strong friction, and also treats reloading of the unbounded solid with a semi-infinite cut. The solid is compressed uniformly normal to the cut, and a concentrated force acts on the tip of the cut causing localized separation and frictional slip.

An Educational Elasticity Problem With Friction, Part 3: General Load Paths

1983 ◽  
Vol 50 (1) ◽  
pp. 77-84 ◽  
Author(s):  
J. Dundurs ◽  
M. Comninou
Keyword(s):  
Elasticity Problem ◽  
Exact Nature ◽  
Load Path ◽  
Initial State ◽  
Concentrated Force ◽  
Load Paths

This concluding paper treats general load paths when the two components of the concentrated force are allowed to change independently with time. It is shown that there are two kinds of dependence on the load path. For certain directions of the forward tangent, the dependence is strict in that the deformations depend on the full details of the path. For other directions, however, the dependence is loose, and the deformations do not depend on the exact nature of the path as long as the forward tangent falls within given bounds. The problem also shows that, given an initial state, the load space can be subdivided into different regions each corresponding to a certain mode of deformations.

An Educational Elasticity Problem With Friction, Part 1: Loading, and Unloading for Weak Friction

1981 ◽  
Vol 48 (4) ◽  
pp. 841-845 ◽  
Author(s):  
John Dundurs ◽  
Maria Comninou
Keyword(s):  
Closed Form ◽  
Elasticity Problem ◽  
Concentrated Force ◽  
Initial Loading ◽  
Loading And Unloading

The paper treats an elasticity problem with friction that can be solved in closed form. It involves an unbounded solid with a semi-infinite cut. The solid is compressed in a direction perpendicular to the cut, but the cut is induced to separate and slip locally by applying a concentrated force at the tip of the cut. The first part deals with the initial loading phase and includes unloading for weak friction.

Use of the Finite Element Analysis Method in Pedodontics

2018 ◽  
Vol 55 (4) ◽  
pp. 666-675
Author(s):  
Mihaela Tanase ◽  
Dan Florin Nitoi ◽  
Marina Melescanu Imre ◽  
Dorin Ionescu ◽  
Laura Raducu ◽  
...  
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Structural Model ◽  
Analysis Method ◽  
Ansys Software ◽  
Concentrated Force ◽  
Element Analysis ◽  
Finite Element Analysis Method ◽  
The Finite Element Analysis ◽  
Solid Type

The purpose of this study was to determinate , using the Finite Element Analysis Method, the mechanical stress in a solid body , temporary molar restored with the self-curing GC material. The originality of our study consisted in using an accurate structural model and applying a concentrated force and a uniformly distributed pressure. Molar structure was meshed in a Solid Type 45 and the output data were obtained using the ANSYS software. The practical predictions can be made about the behavior of different restorations materials.

Clamped annular plate under a concentrated force.

AIAA Journal ◽  
1969 ◽  
Vol 7 (1) ◽  
pp. 151-153 ◽  
Author(s):  
RENE AMON ◽  
O. E. WIDERA
Keyword(s):  
Annular Plate ◽  
Concentrated Force

scholarly journals An old elasticity problem in a unilateral setting

1982 ◽  
Vol 12 (2) ◽  
pp. 231-238 ◽  
Author(s):  
J. Dundurs ◽  
Maria Comninou
Keyword(s):  
Elasticity Problem

scholarly journals Authoritarian Liberalism: From Schmitt via Ordoliberalism to the Euro

2016 ◽  
Vol 43 (4-5) ◽  
pp. 747-761 ◽  
Author(s):  
Werner Bonefeld
Keyword(s):  
European Union ◽  
Social Order ◽  
Weimar Republic ◽  
Political Theology ◽  
The European Union ◽  
Liberal State ◽  
Concentrated Force ◽  
Democratic Government ◽  
Strong State ◽  
The Relationship

The contribution examines the market liberal veracity of Hayek’s view that a dictatorship may be more liberal in its policies than an unlimited democratic assembly. Hayek’s warning about the potentially illiberal character of democratic government is key to the German ordoliberal thinking that emerged in the context of the crisis of the Weimar Republic. The ordoliberal thinkers were keenly aware of Schmitt’s political theology and argued with him that the state is the predominant power in the relationship between market and state, conceiving of this relationship as free economy and strong state. They maintained that the establishment of social order is the precondition of free economy; law does not apply to disorder and does not create order. The liberal state is the ‘concentrated force’ of that order. The contribution argues that ordoliberalism is best characterized as an authoritarian liberalism and assesses its contemporary veracity in relation to the European Union.

Analytical evaluation of track response in the vertical direction due to a moving load

2016 ◽  
Vol 23 (18) ◽  
pp. 2989-3006 ◽  
Author(s):  
Wlodzimierz Czyczula ◽  
Piotr Koziol ◽  
Dariusz Kudla ◽  
Sergiusz Lisowski
Keyword(s):  
Steady State ◽  
Moving Load ◽  
Vertical Direction ◽  
Vertical Displacement ◽  
Steady State Response ◽  
Concentrated Force ◽  
State Response ◽  
Weakly Coupled ◽  
Wide Range ◽  
Rail Deflection

In the literature, typical analytical track response models are composed of beams (which represent the rail) on viscoelastic or elastic foundations. The load is usually considered as a single concentrated force (constant or varying in time) moving with constant speed. Concentrated or distributed loads or multilayer track models have rarely been considered. One can find some interesting results concerning analysis of distributed loads and multilayer track structures that include both analytical and numerical approaches. However, there is a noticeable lack of sufficient comparison between track responses under concentrated or distributed load and between one and multilayer track models. One of the unique features of the present paper is a comparison of data obtained for a series of concentrated and distributed loads, which takes into account a wide range of track parameters and train speeds. One of the fundamental questions associated with the multilayer track model is the level of coupling between the rail and the vibrations of the sleepers. In this paper, it is proved that sleepers are weakly coupled with the rail if the track is without significant imperfections, and the steady-state response is analyzed for this case. In other words, sleeper vibrations do not influence the rail vibrations significantly. Therefore the track is analyzed by means of a two-stage model. The first step of this model determines rail vibration under a moving load, and then the sleeper vibration is calculated from previously obtained kinematic excitation. The model is verified by comparison of the obtained results with experimental data. Techniques based on Fourier series are applied to the solution of the steady-state track response. Another important problem associated with track response under moving loads arises from the analysis of the effect of longitudinal forces in rails on vertical displacement. It is shown that, in the case of the steady-state response, longitudinal forces do not influence rail displacements significantly and this observation remains correct for a wide range of track parameters and train speeds. The paper also analyzes the legitimacy of the statement that additional rail deflection between sleepers, compared to the continuous rail support, can be considered as a track imperfection.

Frictional Slip Between Layer and Substrate

1981 ◽  
Vol 107 (6) ◽  
pp. 1103-1118
Author(s):  
David Schmueser ◽  
John Dundurs ◽  
Maria Comninou
Keyword(s):  
Frictional Slip
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