Theoretical Analysis of Gas and Oil Storage Cavern in Bedded Salt Rock Using a Love Function

2012 ◽  
Vol 204-208 ◽  
pp. 1499-1502 ◽  
Author(s):  
Gui Jun Wang ◽  
Peng Xie
Keyword(s):  
Theoretical Analysis ◽  
Boundary Conditions ◽  
Elastic Theory ◽  
Elastic Displacement ◽  
Salt Rock ◽  
Axisymmetric Model ◽  
Rock Formation ◽  
Oil Storage ◽  
Stress Components ◽  
Logarithmic Functions

Based upon the elastic theory, the gas and oil storage cavern in bedded salt rock formation is generalized as a spatially axisymmetric model. A Love function was built from polynomial and logarithmic functions at first, and then solved, considering the gravity, the internal gas and oil pressure of the cavern, the boundary conditions, as well as the continuity conditions at the interface between salt and non-salt media. Finally, the elastic displacement and stress components are achieved which are satisfied to the main boundary and continuity conditions.

The Refined Equations of Special Orthotropic Piezoelectric Plate-I: Anti-Symmetrical Transverse Surface Loadings

2012 ◽  
Vol 249-250 ◽  
pp. 348-351
Author(s):  
Bao Sheng Zhao ◽  
Di Wu
Keyword(s):  
General Solution ◽  
Boundary Conditions ◽  
Thick Plate ◽  
Ad Hoc ◽  
Piezoelectric Plate ◽  
Deformation Field ◽  
Elastic Theory ◽  
Surface Loading ◽  
Stress Components ◽  
Stress States

The deformation field and stress states of special orthotropic piezoelectric plate are analyzed. Based on elastic theory, the refined equations of bending thick plate are derived by using Elliott-Lodge’s general solution and Lur’e method without ad hoc assumptions. At first, expressions were obtained for all the displacements and stress components of a piezoelectric plate. Based on boundary conditions, the refined equations for the plate with anti-symmetrical transverse surface loading are obtained.

scholarly journals A neutral core of degressively proportional allocations under lexicographic preferences of agents

2021 ◽  
Author(s):  
Katarzyna Cegiełka ◽  
Piotr Dniestrzański ◽  
Janusz Łyko ◽  
Arkadiusz Maciuk ◽  
Maciej Szczeciński
Keyword(s):  
European Union ◽  
Numerical Analysis ◽  
Theoretical Analysis ◽  
Boundary Conditions ◽  
Case Studies ◽  
The European Union ◽  
Practical Applications ◽  
Lexicographic Preferences ◽  
Degree Of Acceptance ◽  
Feasible Solutions

AbstractOne of the main problems of practical applications of degressively proportional allocations of goods and burdens is lack of uniqueness of this principle. Even under given boundary conditions of allocation, i.e. determined minimal and maximal amounts of a good that can be assigned in a given allocation, there are usually many feasible solutions. The lack of formal rules of allocation is the reason why the allocation is typically a result of negotiations among its agents. A number of allocations favor some of agents or their groups, therefore other agents cannot accept them. The aim of this paper is to indicate a way of reducing the set of all feasible solutions exclusively to those that are neutral to all agents. As a result of the term of lexicographic preference of allocation agents defined on the basis of the relation theory followed by a numerical analysis of sets of all feasible solutions, it is possible to determine a core of this set in the form of a subset of all feasible solutions that are acceptable by all agents. In addition, this subset can be further divided into smaller subsets with regard to the degree of acceptance of their elements. Theoretical analysis is complemented by case studies, one of which is application of this idea to the allocation of seats in the European Parliament among the member states of the European Union.

scholarly journals MFS fading regularization method for the identification of boundary conditions from partial elastic displacement field data

2018 ◽  
Author(s):  
L. Caillé ◽  
J L. Hanus ◽  
F. Delvare ◽  
N. Michaux-Leblonda
Keyword(s):  
Inverse Problem ◽  
Boundary Conditions ◽  
Displacement Field ◽  
Regularization Method ◽  
Synthetic Data ◽  
Fundamental Solutions ◽  
Image Correlation ◽  
Method Of Fundamental Solutions ◽  
Elastic Displacement ◽  
Isotropic Elasticity

A method is proposed to solve an inverse problem in twodimensional linear isotropic elasticity. The inverse problem consists of the determination of both the entire displacement field and the boundary conditions inaccessible to the measurement from the partial knowledge of the displacement field. The algorithm is based on a fading regularization method (FRM) and is numerically implemented using the method of fundamental solutions (MFS). The inverse technique is first validated with synthetic data and is then applied to the interpretation of experimental measurements obtained by digital image correlation (DIC).

Experiments on the Buckling of Simply-Supported Rectangular Plates

1969 ◽  
Vol 73 (703) ◽  
pp. 607-608 ◽  
Author(s):  
A. C. Mills
Keyword(s):  
Experimental Investigation ◽  
Theoretical Analysis ◽  
Boundary Conditions ◽  
Buckling Load ◽  
Theoretical Solution ◽  
Rectangular Plates ◽  
Uniform Load ◽  
Simply Supported

In ref. (1) Pope presents a theoretical analysis of the buckling of rectangular plates tapered in thickness under uniform load in the direction of taper. An experimental investigation into the end load buckling problem for a plate having simply-supported edges with the sides prevented from moving normally in the plane of the plate is described in ref. (2). For these boundary conditions the theoretical solution is exact. However, the compatability equation is not satisfied exactly when the sides are free to move in the plane of the plate. This experimental investigation demonstrates that the buckling load is nevertheless adequately predicted by the analysis in these circumstances.

Prophylactic Versus Therapeutic Inoculation Treatments for Resistance to Influence

2019 ◽  
Vol 30 (3) ◽  
pp. 330-343 ◽  
Author(s):  
Josh Compton
Keyword(s):  
Literature Review ◽  
Theoretical Analysis ◽  
Boundary Conditions ◽  
Research Design ◽  
Theory Building ◽  
Therapeutic Interventions ◽  
Research Development ◽  
Inoculation Theory ◽  
Review Analysis ◽  
Future Challenges

Abstract One of the most significant departures from conventional inoculation theory is its intentional application for individuals already “infected”—that is, inoculation not as a preemptive strategy to protect existing positions from future challenges, but instead, inoculation as a means to change a position (e.g., from negative to positive) and to protect the changed position against future challenges. The issue is important for persuasion scholarship in general, as theoretical boundary conditions help at each stage of persuasion research development, serving as a guide for literature review, analysis, synthesis, research design, interpretation, theory building, and so on. It is an important issue for inoculation theory and resistance to influence research, specifically, for it gets at the very heart—and name and foundation—of inoculation theory. This article offers a theoretical analysis of inoculation theory used as both prophylactic and therapeutic interventions and concludes with a set of recommendations for inoculation theory scholarship moving forward.

scholarly journals Factor spaces and implications on Kirchhoff equations with clamped boundary conditions

2001 ◽  
Vol 6 (8) ◽  
pp. 441-488 ◽  
Author(s):  
Irena Lasiecka ◽  
Roberto Triggiani
Keyword(s):  
Boundary Conditions ◽  
Boundary Control ◽  
Exact Controllability ◽  
Elastic Displacement ◽  
Kirchhoff Equations ◽  
Quotient Spaces ◽  
Mixed Problems ◽  
Duality Argument ◽  
Regularity Results ◽  
New Phenomena

We consider mixed problems for the Kirchhoff elastic and thermoelastic systems, subject to boundary control in the clamped boundary conditions BC (clamped control). Ifwdenotes the elastic displacement andθthe temperature, we establish sharp regularity of{w,wt,wtt}in the elastic case, and of{w,wt,wtt,θ}in the thermoelastic case. Our results complement those by Lagnese and Lions (1988), where sharp (optimal) trace regularity results are obtained for the corresponding boundary homogeneous cases. The passage from the boundary homogeneous cases to the corresponding mixed problems involves a duality argument. However, in the present case of clamped BC, and only in this case, the duality argument in question is both delicate and technical. In this respect, the clamped BC are “exceptional” within the set of canonical BC (hinged, clamped, free BC). Indeed, it produces new phenomena which are accounted for by introducing new, untraditional factor (quotient) spaces. These are critical in describing both interior regularity and exact controllability of mixed elastic and thermoelastic Kirchhoff problems with clamped controls.

Analyzing the Contacting Stresses of Ball in Servo Disc Brake

2013 ◽  
Vol 419 ◽  
pp. 280-285
Author(s):  
Jin Yue Tian ◽  
Zheng Ning Ren ◽  
Jin Wei Wang ◽  
Jin Yu Yao ◽  
Shi Xin Lan ◽  
...  
Keyword(s):  
Stress Distribution ◽  
Theoretical Analysis ◽  
Contact Stress ◽  
Contact Surface ◽  
Optimization Design ◽  
Three Dimensional ◽  
Elastic Displacement ◽  
Disc Brake ◽  
Ball Bearings

The ball's stress distribution in tractor servo disc brake usually is three dimensional in tractor. In this article,the contact theoretical analysis is used to calculate the contact face action distribution between the saddle ball bearings, the elastic displacement, train and stress distributed situation was determined in contact surface. The results show that the method is completely feasible, this method was suitable similarly for the solution contact stress question, the data has provided the important reference for the contact face optimization design.

Multiple Artificial Geothermal Cracks in a Hot Dry Rock Mass for Extraction of Heat

1985 ◽  
Vol 107 (2) ◽  
pp. 274-279 ◽  
Author(s):  
Y. Shibuya ◽  
H. Sekine ◽  
Y. Takahashi ◽  
H. Abe´
Keyword(s):  
Rock Mass ◽  
Stress Distribution ◽  
Theoretical Analysis ◽  
Boundary Conditions ◽  
Singular Integral ◽  
Inversion Formula ◽  
Singular Integral Equations ◽  
Fluid Temperature ◽  
Two Dimensional ◽  
Dimensional Theory

Theoretical analysis is made for multiple geothermal cracks. A periodic array of two-dimensional cracks is considered as a model of the multiple geothermal cracks, and is anlayzed on the basis of the two-dimensional theory of quasi-static thermo-elasticity. The singular integral equations are derived from the boundary conditions, and they are solved by applying the combination of inversion formula and collocation method. Numerical results for the fluid temperature at an outlet, the rock mass temperature, the shape of the geothermal cracks and the stress distribution around the geothermal cracks are shown in graphs.

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