Prikladnaya Mekhanika Research Articles

Nonclassical Problems of Fracture/Failure Mechanics: on the Occasion of the 50th Anniversary of the Research (Review)

The main results of research on some nonclassical problems of fracture/failure mechanics are analyzed. These results have been obtained by the author and his followers at the Department of Dynamics and Stability of Continua of the S. P. Timoshenko Institute of Mechanics of the National Academy of Sciences of Ukraine (the NAS of Ukraine) during the last 50 years. The nonclassical problems of fracture/failure mechanics are problems to which the approaches and criteria of classical fracture mechanics are not applicable. A distinguishing feature of the results obtained by the author and his followers is application of three-dimensional theories of stability, dynamics, and statics of solid mechanics to study the nonclassical problems of fracture/failure mechanics. The majority of other researchers have been using various approximate theories of shells, plates, and rods as well as other approaches to studying the nonclassical problems of fracture/failure mechanics. The main scientific results of solving the eight nonclassical problems of fracture\failure mechanics obtained in the framework of the above mentioned approach (three-dimensional theories of solid mechanics) have been presented very briefly, with focus on the statement of problems, the analysis of corresponding experiments, the development of methods for their solution within the framework of approach under consideration, and the discussion of final results. The mathematical aspects of the methods for solving the mentioned problems and their computer-aided implementation have not been discussed in this review, with information on this subject briefly presented as annotation. The following eight nonclassical problems of fracture\failure mechanics (results by the author and his followers) are considered in this review: – first problem is fracture of composites compressed along the reinforcement; – second problem is short-fiber model in stability and fracture of composites under compression; – third problem is end-crush fracture of composites under compression along the reinforcement; – fourth problem is brittle fracture of cracked materials with initial (residual) stresses acting along the cracks; – fifth problem is shredding fracture of composites stretched or compressed along the reinforcement; – sixth problem is fracture of materials under compression along parallel cracks; – seventh problem is brittle fracture of cracked materials under dynamic loads (with contact interaction of the crack faces); – eighth problem is fracture of thin-walled cracked bodies under tension with prebuckling. About 523 monographs and papers published by the author and his followers on the eight nonclassical problems of fracture mechanics have been included in the references to this review. This review consists of three parts. The first part is General Problems; it is published in Prikladnaya Mekhanika (55, No. 2, 2019). The second part is Compressive Failure of Composite Materials; it is published in Prikladnaya Mekhanika (55, No. 3, 2019). The third part is Other Nonclassical Problems of Fracture/Failure Mechanics; it is published in Prikladnaya Mekhanika (55, No. 4, 2019).

Correction to: Generalizing the Faraday problem of the parametric oscillations of a cylindrical tank partially filled with a fluid

The bibliographic information on page 59 should read: Translated from Prikladnaya Mekhanika, Vol. 53, No. 1, pp. 75–84, January–February, 2017.

Recognition of the Achievements of the S. P. Timoshenko Institute of Mechanics by the World’s Scientific Community

The article is devoted to the forthcoming (in 2018) 100th anniversary of the National Academy of Sciences of Ukraine (NASU) and the S. P. Timoshenko Institute of Mechanics of NASU. Information on the recognition of scientific achievements of the S. P. Timoshenko Institute of Mechanics by the world’s scientific community is presented. The preparation of a three-volume collection Modern Problems in Mechanics devoted to the anniversary is announced. It will include reviews of scientific results obtained at the S. P. Timoshenko Institute of Mechanics and published in Prikladnaya Mekhanika in Russian and in International Applied Mechanics in English since 2011

Analysis of Various Bibliometric Indicators for the Evaluation of Scientific Journals and Scientists

Features of applying bibliometric indicators for scientific journals and scientists are discussed using, as examples, scientists of the S. P. Timoshenko Institute of Mechanics and the journal Prikladnaya Mekhanika (International Applied Mechanics), which is published by the institute in Russian and by Springer in English. Old and new scientific databases are described and commented on. Consideration is given to citation as the most popular parameter for bibliometric indicators, the Hirsch and Egghe indices as criteria for the evaluation of scientists, the Hirsch index, Impact-Factor, SJR, SNIP, and RIP as criteria for the evaluation of scientific journals, and a new approach to evaluation based on full-text article requests. In 1991–2011, Prikladnaya Mekhanika (International Applied Mechanics) had highest indicators among all Ukrainian scientific journals: Impact-Factor = 1.740 in 2005, SJR = 0.240 in 2006, RIP = 1.76 in 2006, SNIP = 2.45 in 2011

Integration of the journal Prikladnaya Mekhanika (International Applied Mechanics) into the world’s scientific community

Two new tendencies in the integration of the journal Prikladnaya Mekhanika (International Applied Mechanics) into the world’s scientific community are discussed. One tendency is that representatives of the world’s scientific community publish their articles in the journal. The other tendency is positioning of this journal in the world’s scientific information environment. The number of full-text article requests as per the document Springer—the Language of Science: International Applied Mechanics, Publisher’s Report, July 1 (2011) is discussed.Anew publication evaluation criterion based on this metric is offered

On the level of coverage and citation of publications by mechanicians of the national academy of sciences of Ukraine in the Scopus database

The paper analyzes the level of coverage and citation of publications by mechanicians of the National Academy of Sciences of Ukraine (NASU) in the Scopus database. Two groups of mechanicians are considered. One group includes 66 doctors of sciences of the S. P. Timoshenko Institute of Mechanics as representatives of the oldest institute of the NASU. The other group includes 34 members (academicians and corresponding members) of the Division of Mechanics of the NASU as representatives of the authoritative community of mechanicians in Ukraine. The results are presented for each scientist in the form of two indices—the total number of publications accessible in the database as the level of coverage of the scientist’s publications in this database and the h-index as the citation level of these publications. This paper may be considered to continue the papers [6–12] published in Prikladnaya Mekhanika (International Applied Mechanics) in 2005–2009

Citation analysis of publications of NASU mechanicians in the database of the Thomson Reuters Institute for Scientific Information

The paper performs a citation analysis of publications of mechanicians of the National Academy of Sciences of Ukraine (NASU) based on information tools developed by the Thomson Reuters Institute for Scientific Information. Two groups of mechanicians are considered: representatives of the S. P. Timoshenko Institute of Mechanics of the NASU (NASU members, heads of departments) and members (academicians) of the NASU Division of Mechanics. Three elements of the Citation Report (Results Found, Citation Index (Sum of the Times Cited), h-index) are presented for each scientist. This paper may be considered as a follow-up on the papers [6–11] published by Prikladnaya Mekhanika (International Applied Mechanics) in 2005–2009

Scopus: A system for the evaluation of scientific journals

The paper discusses the evaluation of scientific journals based on the Scopus database, information tools, and criteria. The SJR (SCImago Journal Rank) as the main criterion used by Scopus to evaluate scientific journals is considered. The Scopus and ISI systems are compared using information on the journal Prikladnaya Mekhanika (International Applied Mechanics), a number of world-known journals on mechanics, and some journals on natural sciences issued by the National Academy of Sciences of Ukraine. Some comments and proposals are formulated. This paper may be considered as a follow up on papers published in Prikladnaya Mekhanika (International Applied Mechanics) in 2005–2009

On awarding the Blaise Pascal Medal of the European Academy of Sciences to Alexander Nikolaevich Guz

National Committee of Ukraine on Theoretical and Applied Mechanics, S. P. Timoshenko Institute of Mechanics of the National Academy of Sciences of Ukraine, and Editorial Board of Prikladnaya Mekhanika inform that Prof. Helene de Rode, President of the European Academy of Sciences, congratulated Alexander Nikolaevich Guz by telephone on June 14, 2007 and in an official letter of June 20, 2007 on the award of the 2007 Blaise Pascal Medal in Materials Science and invited him to attend the General Assembly of the European Academy of Sciences with the Ceremony of Awards of the Blaise Pascal Medals 2007 to be held in Brussels (Belgium), September 12, 2007. On June 15, 2007, the Scientific Committee of the European Academy of Sciences in the persons of Profs. Marie-Paule Pileni (chair), Heinrich Begehr, Jiri Bicak, Dusan Repovs, and Enzo Tiezzi officially notified Alexander Nikolaevich Guz by letter of awarding him the 2007 Blaise Pascal Medal in Materials Science and congratulated him on behalf of the committee and academy. Information on the Blaise Pascal Medal can be found at http://www.eurasc.org/pb_medals.asp. We would like to congratulate Alexander Nikolaevich Guz, who is the chairman of National Committee of Ukraine on Theoretical and Applied Mechanics, the director of the S. P. Timoshenko Institute of Mechanics, and the editor-in-chief of the journal Prikladnaya Mekhanika, on the award of the 2007 Blaise Pascal Medal in Materials Science with the following formulation by the Scientific Committee: “In recognition of his outstanding achievements in fundamental aspects of modern mechanics. He personally developed the theory of composite materials including all levels of composite material structure: macro, meso, and micro. He is also one well-known leader in the three-dimensional linearized theory of stability of solids.” On behalf of the National Committee of Ukraine on Theoretical and Applied Mechanics, the S. P. Timoshenko Institute of Mechanics, and the editorial board of Prikladnaya Mekhanika, we wish Alexander Nikolaevich Guz much success in the future and great advances in his field for the benefit of science. The European Academy of Sciences (Brussels, Belgium) established the Blaise Pascal Medal in 2003 to recognize an outstanding and demonstrated personal contribution to science and technology and the promotion of excellence in research and education. The Blaise Pascal Medalists are selected by the Scientific Committee of The European Academy of Sciences. Up to six medals may be awarded in any one year. The Award consists of a Medal and a Certificate.

On the evolution of the scientific information environment

Problems arising in the development of the scientific information environment are considered. Emphasis is on the building of international databases for periodical publications and monographs, evaluation of publications and journals, and objective citation. The activity of the S. P. Timoshenko Institute of Mechanics and the journal Prikladnaya Mekhanika (International Applied Mechanics) in this field is exemplified. Suggestions on how to ensure objective citation in articles are discussed

Review Papers Published in Prikladnaya Mekhanika (International Applied Mechanics) over the Period from 2000 through 2004

Review Papers Published in Prikladnaya Mekhanika (International Applied Mechanics) over the Period from 2000 through 2004

On the publication of the 40th volume of the international scientific journal,Prikladnaya Mekhanika ? Official organ of the S. P. Timoshenko institute of mechanics of the academy of sciences of Ukraine

On the publication of the 40th volume of the international scientific journal,Prikladnaya Mekhanika ? Official organ of the S. P. Timoshenko institute of mechanics of the academy of sciences of Ukraine

Calculation of the velocity profile in a nonlinear wave in a fluid layer flowing down a vertical wall

CALCULATION OF THE VELOCITY PROFILE IN A NONLINEAR WAVE IN A FLUID LAYER FLOWING DOWN A VERTICAL WALL P. I. Geshev and Kh. Kh. Murtazaev UDC 532.62+532.594 A fluid flowing down a vertical surface due to gravity is an example of an active dissipative medium. The energy supply comes from the gravitational force while the dissipation comes from the viscous friction force. Studies of the linear stability of failing films of fluid [1, 2] have shown that smooth plane-parallel flow is unstable, no matter how small the Reynolds number. Usually motion in a film is considered laminar-wave flow up to Re - 300-400 [3]. Almost all theoretical research has been done in the long-wavelength approximation, which corresponds to experimental data. It has been shown [4] that the long-wavelength approximation can be used up to Re ~ 1000 for ordinary fluids. This approximation allows the complete system of the Navier-Stokes equations to be simplified to a boundary-layer system. An integral method [5] has been proposed which gives a semi-parabolic velocity profile. The assumption of self-similarity has been verified [6]. A system of two equations has been derived within the framework of the integral approach [7, 8]: one for the instantaneous thickness and one for the flow rate of the fluid for moderate Reynolds numbers. Stationary nonlinear running waves of the first kind, which are similar in form to sinusoidal waves, have been found from this approach [7, 8]. Highly nonlinear solutions of this system -- which correspond to waves with a smoothly sloping tail, a steep front, and a capillary ripple ahead of the wave -- can only be solved numerically [9, 10]. The development stages of both stimulated and naturally occurring waves, including two types of attractors, were examined [11] by extending an earlier theory [8, 12]. The theoretical results agreed quantitatively with experiment in the main part of the wave, but the capillary ripple, predicted by the integral approach, was much stronger and had a higher oscillation amplitude than in experiments. Nonlinear theory has been examined and the velocity profde has been determined for waves of the first kind in the long- wavelength approximation for stationary running waves [13]. Stationary nonlinear solutions, based on boundary-layer equations and integral equations for describing film flow, give good agreement with experiment [14]; a detailed comparison is in progress. A transient solution of the Navier-Stokes equations has been done in the long-wavelength approximation for the initial stage of wave development, up to the occurrence of reverse flow in the thinnest part of the t'tim [15]. Transient finite-element solutions for the complete system of Navier-Stokes equations have been found without any approximations [16]. A complete numerical solution using Galerkin's method has been presented for a stationary running wave in viscous fluid layers [17]. Calculations were done for various values of the dimensionless surface stress, including zero stress. Here a new pseudospectral method is presented for calculating the transient development of a wave within the framework of the long-wavelength approximation. It can compute the complete development of the wave until it becomes stationary. This stationary wave is compared with the solution to the stationary equations. The solution is extended parametrically to large Reynolds numbers in order to determine the effect of Reynolds number on the wave characteristics. Solutions found for the long- wavelength approximation are compared with solutions [17] of the complete system of equations. 1. PROBLEM FORMULATION A viscous incompressible fluid flows down a vertical plane by gravity. The flow is assumed to be two-dimensional and periodic with a wavelength X. The x-axis is directed downward along the gravity-acceleration vector g; the y-axis is perpendicular to the surface. We will assume that the wavelength is much larger than the film thickness. As Nusselt showed, a falling fluid film always has a trivial stationary solution with a smooth plane-parallel free surface: Novosibirsk. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, No. 1, pp. 53-61, January-February, 1994. Original article submitted November 17, 1992; revision submitted February 16, 1993. 0021-8944/94/3501-0053512.50 9 1994 Plenum Publishing Corporation 53

Effect of physical nonlinearity and orthotropy on the stress distribution around holes in a conical shell

9. I. P. Ermakovskaya, V. A. Maksimyuk, and I. S. Chernyshenko, "Nonlinearly elastic twodimensional problems of the statics of orthotropic thin shells and a method of their solution," edited for the journal "Prikladnaya Mekhanika," Kiev (1988), deposited in the All-Union Institute of Scientific and Technical Information on October 19, 1988, No. 7526-V 88. D. Kolarov, A. Baltov, and N. Boneva, Mechanics of Plastic Media [Russian translation], Mir, Moscow (1979). V. A. Lomakin and M. A. Yumashev, "Relationships between stresses and strains during the nonlinear deformation of orthotropic fiberglasses," Mekh. Polimo, No. 4, 28-34 (1965). A. N.. Guz', I. S. Chernyshenko, V. P. Georgievskii, and V. A. Maksimyuk, "On the stress state of thin-wall structural components fabricated from nonlinearly elastic composite materials," Prikl. Mekh., 24, No. 4, 25-32 (1988). Io E.. Petrushenko, V. A. Maksimyuk, and I. S. Chernyshenko, "On the physically nonlinear deformation of an orthotropic cylindrical shell with a circular hole," Prikl. Mekh., 24, No. i0, 41-46 (1988). V. G. Piskunov, V. E. Verizhenko, V. K. Prisyazhnyuk, et al., Design of Inhomogeneous Inclined Shells and Plates by the Finite Element Method [in Russian], Vishcha Shkola, Kiev (1987).

Remark on the paper by A. N. guz', ?three-dimensional stability theory for finite subcritical deformation,? Prikladnaya Mekhanika,8, No. 12 (1972)

Remark on the paper by A. N. guz', ?three-dimensional stability theory for finite subcritical deformation,? Prikladnaya Mekhanika,8, No. 12 (1972)