scholarly journals General method of solution of Schwinger-Dyson equations in Minkowski space

2010 ◽  
Author(s):  
Vladimir Sauli
Keyword(s):  
Minkowski Space ◽  
Method Of Solution ◽  
General Method

Stability and Vibrations of Compressed, Aeolotropic, Composite Cylindrical Shells

1982 ◽  
Vol 49 (4) ◽  
pp. 843-848 ◽  
Author(s):  
J. B. Greenberg ◽  
Y. Stavsky
Keyword(s):  
Fiber Orientation ◽  
Vibration Analysis ◽  
Solution Method ◽  
Cylindrical Shells ◽  
Critical Buckling Load ◽  
Method Of Solution ◽  
The Stability ◽  
Winding Angle ◽  
General Method ◽  
Composite Cylindrical Shells

A general method of solution, based on a complex finite Fourier transform, is adopted for the stability and vibration analysis of compressed, aeolotropic, composite cylindrical shells. A major feature of the solution method is its ability to handle both uniform and nonuniform conditions that hold at the boundaries of finite-length cylindrical shells. For the various shells investigated, an optimum winding angle was found for which a maximum frequency response and highest critical buckling load is attainable. Similar optimization was also discovered to be possible by controlling both/either shell heterogeneity and/or fiber orientation.

THE STATISTICAL RISK ANALYSIS AS THE BASIS OF THE SUSTAINABLE DEVELOPMENT

2012 ◽  
Vol 09 (03) ◽  
pp. 1250024
Author(s):  
KARTLOS J. KACHIASHVILI ◽  
MUNTAZIM A. HASHMI ◽  
ABDUL MUEED
Keyword(s):  
Sustainable Development ◽  
Bayesian Approach ◽  
Economic Effects ◽  
The Sustainable Development ◽  
Method Of Solution ◽  
Parameter Values ◽  
Ultimate Purpose ◽  
Statistical Risk ◽  
General Method

In the work the problem of sustainable development of production, i.e., an optimum choice of parameter values of technological process with the purpose of minimization of risk of obtaining production of not planed quality also incorrect making decision about quality of production and maximization of profit of production at the guaranteed social and economic effects is formalized. Different statements of the problem depending on the put ultimate purpose are considered. The general method of solution of the put task using Bayesian approach of testing many hypotheses is offered.

Thermal Stresses in Transversely Isotropic Semi-Infinite Elastic Solids

1958 ◽  
Vol 25 (1) ◽  
pp. 86-88
Author(s):  
Brahmadev Sharma
Keyword(s):  
Thermal Stress ◽  
Steady State ◽  
Thermal Stresses ◽  
Elastic Solid ◽  
Transversely Isotropic ◽  
Elastic Solids ◽  
Stress Problem ◽  
Method Of Solution ◽  
General Method

Abstract A general method of solution of the steady-state thermal-stress problem of a transversely isotropic semi-infinite elastic solid is given in this paper.

Thermal Stresses in an Orthotropic Elastic Semispace

1972 ◽  
Vol 39 (1) ◽  
pp. 87-90 ◽  
Author(s):  
A. Y. Ako¨z ◽  
T. R. Tauchert
Keyword(s):  
Temperature Field ◽  
Green's Functions ◽  
Thermal Stresses ◽  
Green’S Functions ◽  
Elastic Solid ◽  
Displacement Boundary ◽  
Steady State Temperature ◽  
Method Of Solution ◽  
Displacement Potentials ◽  
General Method

The thermal stresses in an orthotropic semi-infinite elastic solid subject to plane strain are investigated. A general method of solution based upon displacement potentials is presented for the case of a steady-state temperature field. Results are presented for both stress-free and zero-displacement boundary conditions. The stresses are written in terms of Green’s functions, where the Green’s functions represent stresses induced by a line source of temperature on the bounding plane.

Asymmetric Contact Problem Including Wear for Nonhomogeneous Half Space

1982 ◽  
Vol 49 (1) ◽  
pp. 43-46 ◽  
Author(s):  
T. S. Sankar ◽  
V. Fabrikant
Keyword(s):  
Integral Equation ◽  
Exact Solution ◽  
Elastic Modulus ◽  
Contact Problem ◽  
Half Space ◽  
Tangential Stresses ◽  
Method Of Solution ◽  
Work Done ◽  
General Method ◽  
Asymmetric Contact

Contact problem with wear for asymmetric rigid die acting on a half space whose elastic modulus is a power function of depth is considered for the case when the die is rotating according to an arbitrary law. Zone of contact is taken to be a circle, and the wear is proportional to the work done by the tangential stresses obeying Coloumb’s law. Integral equation of the problem is derived and an exact solution of the equation is obtained in closed form. The case of inclined flat die is discussed as an illustrative example of the general method of solution that is proposed.

Multiple Diffraction of X-Rays

1982 ◽  
Vol 37 (5) ◽  
pp. 437-447 ◽  
Author(s):  
Roberto Colella
Keyword(s):  
High Resolution ◽  
X Rays ◽  
Bragg Scattering ◽  
Multiple Diffraction ◽  
Phase Determination ◽  
Method Of Solution ◽  
Electric Effect ◽  
Effect Phase ◽  
Theory And Experiment ◽  
General Method

The phenomenon of n-be&m diffraction (n>2) is discussed with particular attention being devoted to the Bragg case of diffraction. The general method of solution is outlined, and some applications to specific situations are discussed. These include experiments in which strong quasi- monochromatic phonon beams are excited in a crystal using the Acousto-Electric effect, phase determination using the concept of „Virtual Bragg Scattering”, and high resolution Bragg reflec­tion topographs. In all cases the agreement between theory and experiment has been found excellent.

scholarly journals Stress systems in aeolotropic plates. VII

1945 ◽  
Vol 184 (998) ◽  
pp. 301-345 ◽  
Keyword(s):  
Stress Distributions ◽  
General Shape ◽  
Two Circular Holes ◽  
Spruce Wood ◽  
Tension Member ◽  
Method Of Solution ◽  
Circular Holes ◽  
Stress Functions ◽  
Elliptical Holes ◽  
General Method

The paper is divided into three parts. In Part I a general method of solution is given for problems of stress distributions in isotropic and aeolotropic plates containing a hole of a fairly general, shape when the boundary values of the displacements are prescribed, but applications for aeolotropic plates are at present limited to circular and elliptical holes. Part II is concerned with distributions of stress in aeolotropic plates containing a single circular discontinuity or hole when the boundary conditions at the edge of the circle are of a mixed type, i.e. they involve both the displacements and the stresses. A set of fundamental stress functions is obtained which are used to investigate stresses due to bolts and knots in stressed planks, and the work is illustrated numerically for a specimen of spruce wood. In Part III a general method of solution is given for problems of stress distributions in aeolotropic plates which contain any number of circular holes of varying sizes distributed in any manner. The solution is applied to the problem of two circular holes in a tension member, and a few numerical results are given for spruce.

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