From: ag3l+@andrew.cmu.edu (Arun K. Gupta)
Newsgroups: sci.research.careers
Subject: Re: Fabrikant's CV
Date: 29 Aug 92 20:06:04 GMT
Article-I.D.: andrew.kec4Yga00VpCQYj0Q5
Organization: Physics, Carnegie Mellon, Pittsburgh, PA

From INSPEC : Hope this helps judge the scientific work:

Author       FABRIKANT, V.I.; Sankar, T.S.; 
             Dept. of Mech. Eng., Concordia Univ., Montreal, Que., Canada
Title        CAD of planar mechanisms
Source       Theory of Machines and Mechanisms. Proceedings of the 7th 
             World Congress; Sevilla, Spain; 17-22 Sept. 1987; 
             Sponsored by:  Int. Federation Theory Machines and Mech.; Univ.
             Seville; Spanish Open Univ.; et al; 
             Oxford, UK; Pergamon; 3 vol. xxx+1909 pp.; 1987; pp. 945-8 vol.
             2
Editor       Bautista, E.; Garcia-Lomas, J.; Navarro, A.
Abstract     It is shown that computer graphics allows an effective use of 
             graphical, rather than analytical, methods in CAD, simplifies 
             the programming and debugging, spares the time and computer 
             memory, and all this without jeopardizing the accuracy of the 
             results. A universal subroutine CROS has been developed which 
             gives the points of intersection of an arbitrary curve with 
             several others. There is neither need for any explicit 
             mathematical expressions for the curves involved nor for any 
             approximation procedure. The only requirement is that the 
             curves be explicitly given on the graphics screen. There are 
             numerous applications of the subroutine. The four bar 
             mechanism analysis is considered as an example. A comparison 
             with the exact analytical solution shows that the graphical 
             methods are sufficiently accurate.

Author       FABRIKANT, V.I.; 
             Concordia Univ., Montreal, Que., Canada
Title        Close interaction of coplanar circular cracks in an elastic 
             medium
Source       Acta Mech. (Austria); vol.67, no.1-4; May 1987; pp. 39-59
Abstract     A new method is proposed for the stress analysis of an elastic 
             space weakened by several arbitrarily located coplanar 
             circular cracks under the action of an arbitrary normal 
             pressure. The method is based on a new type of integral 
             equations which has definite advantages over the existing 
             methods: equations are non-singular, the iteration procedure 
             is rapidly convergent even for very close interactions; there 
             is no need to solve the integral equations if one is 
             interested only in obtaining the upper and the lower bounds 
             for the quantities of interest. In the case of the cracks far 
             apart, these bounds are so close that provide, in fact, a 
             sufficiently accurate solution to the problem.

Author       FABRIKANT, V.I.; 
             Concordia Univ., Montreal, Que., Canada
Title        Frictionless elastic contact problem for a curved rigid punch 
             of arbitrary shape
Source       Acta Mech. (Austria); vol.67, no.1-4; May 1987; pp. 1-25
Abstract     A new method is proposed for the analysis of elastic contact 
             problems for a curved punch of non-elliptic platform under the 
             action of a normal force. The punch base is assumed to be a 
             quadratic surface. The method is based on an integral 
             representation for the reciprocal distance between two points 
             obtained by the author earlier. Some general relationships are 
             established between the applied force and the punch settlement.
             Specific formulae are derived for a punch whose planform has a 
             shape of a polygon, a rectangle, a rhombus and a cross. An 
             example of a finite rigid cylinder lying on its generator and 
             pressed against an elastic half-space is considered in detail. 
             The method allows for singular stresses at the cylinder edges 
             and zero stresses at the rest of the boundary of the contact 
             domain. The last condition serves for defining the width of 
             the domain of contact. All the formulae are checked against 
             the solutions known in the literature, and a good accuracy is 
             confirmed in a sufficiently wide range of the aspect ratio.

Author       FABRIKANT, V.I.; 
             Dept. of Mech. Eng., Concordia Univ., Montreal, Que., Canada
Title        Green's functions for a penny-shaped crack under normal loading
Source       Engineering Fracture Mechanics; 
             Eng. Fract. Mech. (UK); vol.30, no.1; 1988; pp. 87-104
Abstract     A new method is proposed here which allows us to obtain exact 
             and complete solutions to the problem of a penny-shaped crack 
             in a transversely isotropic elastic body subjected to an 
             arbitrary pressure. All the relevant Green's functions are 
             derived explicitly and in elementary functions. The method is 
             based on the new results in potential theory obtained earlier 
             by the author; no integral transforms or special function 
             expansions are involved. Several examples are considered.

Author       FABRIKANT, V.I.; 
             Dept. of Mech. Eng., Concordia Univ., Montreal, Que., Canada
Title        Sound penetration through an arbitrarily shaped aperture in a 
             soft screen: analytical approach
Source       J. Sound Vib. (UK); vol.121, no.1; 22 Feb. 1988; pp. 1-12
Abstract     Van Bladel (1968) has reduced the problem of low-frequency 
             scattering through an aperture in a soft screen to a sequence 
             of static integral equations. Analytical solutions are known 
             at the moment for a circular and an elliptic aperture only. A 
             new analytical method is proposed here which is valid for the 
             apertures of arbitrary shape. The method is based on an 
             integral representation for the reciprocal distance between 
             two points obtained by the author earlier. Specific 
             approximate formulae are derived for evaluating the average 
             value of the zeroth-order term in the low-frequency expansion 
             for an aperture in the shape of a polygon, a triangle, a 
             rectangle, a rhombus, a circular sector and a circular segment.
             All the formulae are checked against the numerical solutions 
             known in the literature, and a good agreement is confirmed.

Author       FABRIKANT, V.I.; Sankar, T.S.; 
             Dept. of Mech. Eng., Concordia Univ., Montreal, Que., Canada
Title        Singularities at angular points in elastic contact problems
Source       Commun. Appl. Numer. Methods (UK); vol.4, no.2; March-April 
             1988; pp. 173-8
Abstract     A new procedure is suggested for numerical treatment of 
             elastic contact problems for non-classical domains. The 
             numerical procedure is based on formulae derived for an 
             accurate computer evaluation of singular integrals. These 
             formulae define the value of the singular integral in the 
             neighbourhood of the singularities, while the regular part of 
             the integral can be evaluated by any standard subroutine. The 
             method allows practically exact solution of elastic contact 
             problems for punches of various plan forms like, for example, 
             rectangle, rhombus, triangle, oval, etc. The nature of the 
             stress singularity at the boundary of the domain of contact is 
             clarified. Numerical results presented for a rectangle 
             indicate that the assumption of a square root singularity is 
             wrong, and that the power of the singularity is not constant 
             along a rectangle edge.

Author       FABRIKANT, V.I.; 
             Dept. of Mech. Eng., Concordia Univ., Montreal, Que., Canada
Title        Elastic field around a circular punch
Source       Transactions of the ASME. Journal of Applied Mechanics; 
             Trans. ASME, J. Appl. Mech. (USA); vol.55, no.3; Sept. 1988; pp
             . 604-10
Abstract     A solution is called complete when the explicit expressions 
             are derived for the field of displacements as well as stresses 
             in an elastic body. A new method is proposed here which allows 
             us to obtain exact and complete solutions to various contact 
             problems in elementary functions; no integral transforms or 
             special function expansions are involved. The method is based 
             on the new results in potential theory obtained earlier by the 
             author. The main potential function and the relevant Green's 
             functions are derived explicitly. The interaction between an 
             arbitrarily located concentrated load and a circular flat 
             punch is considered. The use of the method is illustrated by 
             examples.

Author       FABRIKANT, V.I.; 
             Dept. of Mech. Eng., Concordia Univ., Montreal, Que., Canada
Title        Reissner-Sagoci problem for non-classical domains
Source       Ingenieur-Archiv; 
             Ing.-Arch. (West Germany); vol.59, no.6; 1989; pp. 422-33
Abstract     The problem of torsion of a transversely isotropic elastic 
             half-space by a punch of general planform is considered. An 
             approximate analytical solution is derived by a method based 
             on some new results in potential theory obtained by the author 
             earlier. A general relationship is established between the 
             torque and the torsion angle. Some specific formulae are 
             derived for punches having the planform of a polygon, a 
             rectangle, a rhombus and a cross.

Author       FABRIKANT, V.I.; 
             Dept. of Mech. Eng., Concordia Univ., Montreal, Que., Canada
Title        Analytical approach to some non-classical elastic contact and 
             crack problems
Source       Zeitschrift fur Angewandte Mathematik und Mechanik; 
             Z. Angew. Math. Mech. (East Germany); vol.69, no.11; 1989; pp. 
             415-18
Abstract     A general formula relating the tangential displacement of a 
             general domain to the resulting shear force, is derived. The 
             formula is exact for an ellipse and is deemed to be 
             sufficiently accurate for general domains. Some specific 
             formulae are derived for a polygon, isosceles triangle, 
             rectangle, rhombus, circular sector and segment and a cross. A 
             qualitative analysis of the general solution is given.

Author       FABRIKANT, V.I.; 
             Dept. of Mech. Eng., Corncordia Univ., Montreal, Que., Canada
Title        Elastic half-space with several domains subjected to 
             tangential displacements
Source       Ingenieur-Archiv; 
             Ing.-Arch. (West Germany); vol.60, no.2; 1989; pp. 73-82
Abstract     The mixed boundary value problem for a transversely isotropic 
             elastic half-space is considered for the case when uniform 
             tangential displacements are prescribed over several domains 
             of arbitrary shape, and the rest of the half-space boundary is 
             stress free. The problem can be interpreted either as that of 
             two elastic half-spaces interconnected by several regions of 
             general shape and subjected to remote shear loading, or as a 
             contact problem of several flexible punches, connected to the 
             half-space, with different tangential displacements prescribed.
             A general theorem is established which relates the resulting 
             tangential forces, acting on each domain, with their 
             generalized displacements through a system of linear algebraic 
             equations. The theorem is applied to the case of arbitrarily 
             located elliptical domains subjected to uniform tangential 
             displacements. Several specific examples are considered.

Author       FABRIKANT, V.I.; 
             Concordia Univ., Montreal, Que., Canada
Title        Flat crack under shear loading
Source       Acta Mechanica; 
             Acta Mech. (Austria); vol.78, no.1-2; June 1989; pp. 1-31
Abstract     A solution is called complete when the explicit expressions 
             are derived for the field of displacements as well as stresses 
             in an elastic body. A new method is proposed here which allows 
             the author to obtain exact and complete solutions to various 
             crack problems in elementary functions; no integral transforms 
             or special function expansions are involved. The method is 
             based on the new results in potential theory obtained earlier 
             by the author. The method is applied to the case of a 
             concentrated tangential loading of a penny-shaped crack. The 
             main potential function and the relevant Green's functions are 
             derived. An approximate analytical solution is obtained for a 
             flat crack of general shape. A new set of asymptotic 
             expressions is presented for the field of stresses and 
             displacements near the crack tip in a transversely isotropic 
             space. The use of the method is illustrated by examples.

Author       FABRIKANT, V.I.; 
             Dept. of Mech. Eng., Concordia Univ., Montreal, Que., Canada
Title        Interaction of a normal load with a bonded circular punch
Source       Journal of Physics A (Mathematical and General); 
             J. Phys. A, Math. Gen. (UK); vol.23, no.3; 7 Feb. 1990; pp. 
             285-98
Abstract     The problem of a flat circular punch bonded to a transversely 
             isotropic elastic half-space and interacting with an 
             arbitrarily located normal concentrated load is considered. 
             The closed form exact solution is obtained for the linear and 
             angular displacements of the punch. The solution is based on 
             the results previously obtained by the author and combined 
             with the reciprocal theorem. A numerical example is presented, 
             in order to compare the linear and angular displacements of a 
             smooth punch with the similar parameters for a bonded punch.

Author       FABRIKANT, V.I.; 
             Dept. of Mech. Eng., Concordia Univ., Montreal, Que., Canada
Title        An arbitrary tangential load underneath a smooth circular punch
Source       Transactions of the ASME. Journal of Applied Mechanics; 
             Trans. ASME, J. Appl. Mech. (USA); vol.57, no.3; Sept. 1990; pp
             . 596-9
Abstract     The problem of a smooth circular punch penetrating a 
             transversely isotropic elastic half space and interacting with 
             an arbitrarily located tangential concentrated load is 
             considered. For the first time, a closed-form exact solution 
             is obtained for the stress distribution under the punch as 
             well as for the linear and angular displacements of the punch. 
             The solution is based on the results previously obtained by 
             the author and combined with the reciprocal theorem. A 
             numerical example is presented as an illustration.


Author       Ramm, A.G.; FABRIKANT, V.I.; 
             Dept. of Math., Kansas State Univ., Manhattan, KS, USA
Title        Justification of FABRIKANT's method for solving mixed problems 
             of potential theory
Source       Computers & Mathematics with Applications; 
             Comput. Math. Appl. (UK); vol.22, no.6; 1991; pp. 97-103
Abstract     A rigorous justification is given to the method devised by 
             FABRIKANT (1986) for solving various mixed boundary value 
             problems in potential theory. The L-operator is defined in 
             such a way that its main property is valid for any value of 
             the parameter. An example is presented.

Author       FABRIKANT, V.I.; 
             Dept. of Mech. Eng., Concordia Univ., West Montreal, Que., 
             Canada
Title        External circular crack under concentrated antisymmetric 
             loading
Source       International Journal of Solids and Structures; 
             Int. J. Solids Struct. (UK); vol.27, no.3; 1991; pp. 343-54
Abstract     A complete solution is given for the first time to the title 
             problem. Explicit expressions are derived for the field of 
             stresses and displacement in a transversely isotropic space 
             weakened by an external circular crack and subjected to two 
             antisymmetrically concentrated forces. The method is based on 
             the new results in potential theory obtained by the author 
             earlier. The presented results may be used as Green's 
             functions for a general case of antisymmetric loading so that 
             the complete solution can be presented in quadratures.

Author       FABRIKANT, V.I.; 
             Dept. of Mech. Eng., Concordia Univ., Montreal, Que., Canada
Title        Internal circular crack under normal antisymmetric loading
Source       Archive of Applied Mechanics; 
             Arch. Appl. Mech. (Germany); vol.61, no.1; Jan. 1991; pp. 2-17
Abstract     A complete solution is given for the first time. Explicit 
             expressions are derived for the field of stresses and 
             displacements in a transversely isotropic space weakened by a 
             penny-shaped crack and subjected to two antisymmetrically 
             applied normal concentrated forces. The method is based on the 
             new results in potential theory obtained by the author earlier.
             The presented results may be used as Green's functions for a 
             general case of antisymmetric loading so that the complete 
             solution can be presented in quadratures. Several specific 
             applications to fracture mechanics are considered.

Author       FABRIKANT, V.A.
Title        How the concept of acceleration took shape in the mechanics of 
             Galileo
Source       Uspekhi Fizicheskii Nauk; 
             Usp. Fiz. Nauk (USSR); vol.161, no.2; 
             Translated in:  Soviet Physics - Uspekhi; Sov. Phys.-Usp. (USA)
             ; vol.34, no.2; Feb. 1991; pp. 201-3; Feb. 1991; pp. 193-4
Abstract     Galileo moved between two definitions of acceleration: the 
             change of velocity with the path traveled, or with time. First,
             Galileo chose the first definition and used it to analyze the 
             law of falling bodies. Before conducting fairly accurate 
             experiments using an inclined plane, Galileo thought that the 
             value of acceleration corresponding to the first definition is 
             constant during fall. However, even before making the 
             experiments, by means of a purely logical analysis, Galileo 
             came to the correct conclusion that such a law of motion 
             generally cannot be achieved for falling bodies. The original 
             hypothesis formulated by Galileo was incorrect, although it 
             later led him to the correct conclusion.

Author       FABRIKANT, V.I.; 
             Dept. of Mech. Eng., Concordia Univ., Montreal, Que., Canada
Title        Non-axisymmetric normal load on an annular crack
Source       Theoretical and Applied Fracture Mechanics; 
             Theor. Appl. Fract. Mech. (Netherlands); vol.15, no.3; Aug. 
             1991; pp. 229-36
Abstract     A formulation is given for an annular crack under general 
             normal loading condition. This has led to a new integral 
             equation with an elementary kernel. Examples on axisymmetric 
             and non-axisymmetric loading are discussed.