Department of Mechanics

The Department of Mechanics is part of the Faculty of Technical Sciences at the University of Novi Sad, Serbia

An interesting problem...

Euler's disk...

Mechanics is a science that deals with motion and deformation of bodies under the action of forces. Its essential ingredients are axioms, theorems, proofs, definitions, principles, but at the heart of it, what mechanics really consist of, are problems and solutions.

BSc and Master Studies

Specialized courses

Doctoral program

Forthcomming events

ICFDA16 , International Conference on Fractional Differentiation and its Applications, Novi Sad, Serbia, 2016

Fractional Calculus for Modelling Phenomena from our Life, Workshop, Novi Sad, Serbia, September 2016

Personal Data

Academician Teodor Atanacković

Location: SASA Branch in Novi Sad, Nikole Pasica 6, Room 307

Tel: ++381 21 420 210, ++381 21 485 2240

Fax: +381 (0)21 450 207

E-mail: atanackovic@uns.ac.rs

Address: University of Novi Sad, 21000 Novi Sad, Trg D. Obradovica 6, Serbia

Academic background

BS degree in Mech. Engineering 1969, University of Novi Sad
PhD degree in Eng. Mechanics 1974, Department of Mechanics, University of Kentucky, Lexington, Ky. USA Thesis: Some Flows satisfying no-slip no-shear boundary conditions.

Permanent positions:

Assistant, Faculty of Technical Sciences, University of Novi Sad, 1975-1978;
Assistant Professor, Faculty of Technical Sciences, University of Novi Sad, 1978-1983;
Full Professor, Faculty of Technical Sciences, University of Novi Sad, 1988-2013;
Professor Emeritus, University of Novi Sad, 2014 to present;

Main research interest:

Stability of Elastic Systems;
Variational Principles of Mechanics;
Viscoelasticty of fractional order
Shape Optimization of elastic rods

Projects leadership:

Contemporary Problems of Mechanics of deformable body (2006-2010). Project is financed by Ministry of Science and Environmental Protection of Serbia- basic research in Mathematics and Mechanics.
Phase Diagrams. A joint Project between Technical University Berlin and Faculty of Technical Sciences Novi Sad (2002-2005). Financed by Alexander von Humboldt Foundation.

Recent visiting possitions:

Technische Universitat Berlin, (1982-1983)...(2005)
Greek National Technical University (2002)

Selected books

T. Atanackovic, Stability Theory of Elastic Rods. World Scientific, 1997
T. M. Atanackovic, A. Guran, Theory of Elasticity for Scientists and Engineers. Birkhauser, 2000.
T. M. Atanackovic, A. Guran, Lectures on Elasticity Theory, Sankt Petersburg University Press 2003 (in Russian).
B. D. Vujanovic and T. M. Atanackovic, An Introduction to Modern Variational Techniques in Mechanics and Engineering. Birkhauser, Boston 2004.
T.M. Atanackovic, S.Pilipovic, B. Stankovic, D. Zorica, Fractional calculus with Application in Mechanics: Vibrations and Diffusion Processes, ISTE, London, John Wiley & Sons, New York, 2014.
T.M. Atanackovic, S.Pilipovic, B. Stankovic, D. Zorica, Fractional calculus with Application in Mechanics: Wave Propagation, Impact and Variational Principles, ISTE, London, John Wiley & Sons, New York, 2014.

Selected Journal Papers

T.M. Atanackovic, Y. Bouras, D. Zorica, Nano- and viscoelastic Becks column on elastic foundation. Acta Mechanica, 226, 2335-2345 (2015).
T. M. Atanackovic, M. Janev, S. Konjik, S. Pilipovic, D. Zorica, Vibrations of an elastic rod on a viscoelastic foundationof complex fractional KelvinVoigt type. Meccanica, 50, 1679-1692 (2015).
T. M. Atanackovic, M. Janev, Lj. Oparnica, S. Pilipovic, D. Zorica, Spacetime fractional Zener wave equation. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 471 (2015), 20140614.
Lj. M. Petrovic, D. M. Zorica, I. Lj Stojanac,V. S. Krstonosic, M. S. Hadnadjev, M. B. Janev, M. T. Premovic, T. M. Atanackovic, Viscoelastic properties of uncured resin composites: Dynamic oscillatory shear test and fractional derivative model. Dental Materials, 31, 1003-1009 (2015).
B. Petronijevic, I. Sarcev, D. Zorica, M. Janev, T.M. Atanackovic, Fractional two-compartmental model for articaine serum levels. Heat Mass Transfer, DOI 10.1007/s00231-015-1639-7 (2015).
T.M. Atanackovic, M. Nedeljkov, S. Pilipovic, Danijela Rajter-Ciric, Dynamics of a Fractional Derivative Type of a Viscoelastic Rod With Random Excitation. Fractional Calculus and Applied Analysis, 18, 1232-1251 (2015).
T.M. Atanackovic, S. Pilipovic, D. Zorica, On a System of Equations Arising in Viscoelasticity Theory of Fractional Type. Appl. Math. & Math. Physics, 1, 27-46, (2015) (?????????? ?????????? ? ?????????????? ??????, 1, ?1, 27-46 (2015) (DOI 10.18262/ammp.2015.0101-03)).
T. M. Atanackovic, B. N. Novakovic, Z. Vrcelj, D. Zorica, Rotating Nano-rod with Clamped Ends. International Journal of Structural Stability and Dynamics, 15, No. 3 1450050 (2015) (8 pages)
J. K. Popovic, D.T. Spasic, J.Toic, J.L. Kolarovic, R. Malti, I. M. Mitic, S. Pilipovic, T.M. Atanackovic, Fractional model for pharmacokinetics of high dose methotrexate in children with acute lymphoblastic leukaemia. Commun Nonlinear Sci Numer Simulat 22, 451471 (2015)
T. M. Atanackovic, B. Stankovic, Linear fractional differential equation with variable coefficients II, Bull. de l Acad. Serbe Sci. Arts, Cl. Math. 39 5378 (2014).
T. M. Atanackovic, M. Janev, S. Konjik, S. Pilipovic, D. Zorica, Expansion formula for fractional derivatives in variational problems. J. Math. Anal. Appl. 409, 911924 (2014).
T. M. Atanackovic, D. Zorica, Stability of the rotating compressed nano-rod. ZAMM. Z. Angew. Math. Mech., . 94, No. 6, 499 504 (2014).
T. M. Atanackovic, S. Pilipovic, D. Zorica, An initial value problem arising in mechanics. Arch Appl Mech 84, 219233 (2014).
T. M. Atanackovic, M. Janev, S. Pilipovic, D. Zorica, Convergence analysis of a numerical scheme for two classes of non-linear fractional differential equations. Applied Mathematics and Computation 243, 611623 (2014).
T.M. Atanackovic, D. Dolicanin, S. Pilipovic, B. Stankovic, Cauchy Problems for some Classes of Linear Fractional Differential Equations. Fract. Calc. Appl. Anal., 17, No 4 10391059 (2014).
Challamel N., Zorica D., Atanackovic T.M. and Spasic D. T., On the fractional generalization of Eringens nonlocal elasticity for wave propagation, Comptes Rendus de Mécanique, 341 298303, (2013).
J. K. Popovic, S. Pilipovic, T. M. Atanackovic, Two compartmental fractional derivative model with fractional derivatives of different order. Commun Nonlinear Sci Numer Simulat. 18, 25072514 (2013).
Lj. M. Petrovic, D. M. Zorica, I. Lj Stojanac,V. S. Krstonosic, M. S. Hadnadjev, T.M. Atanackovic, A model of the viscoelastic behavior of flowableresin composites prior to setting. Dental Materials, 29, 929934 (2013).
T. M. Atanackovic, M. Janev, S. Pilipovic, D. Zorica, An expansion formula for fractional derivatives of variable order. Cent. Eur. J. Phys., 11 (10) 1350-1360 (2013).
T. M. Atanackovic, S. Pilipovic, D. Zorica, Forced oscillations of a body attached to a viscoelastic rod of fractional derivative type. International Journal of Engineering Science 64) 5465 (2013).
T. M. Atanackovic, D. Zorica, On the BagleyTorvik Equation. Journal of Applied Mechanics (transcaction of ASME), 80, 2013, / 041013-1.
T. M. Atanackovic, M. Janev, S. Pilipovic, D. Zorica, Complementary variational principles with fractional derivatives. Acta Mech. 223, 685704 (2012)
T. M. Atanackovic, S. Konjik, Lj. Oparnica, D. Zorica, The Cattaneo-type space-time fractional heat conduction equation. Continuum Mech. Thermodyn. 24 293-311 (2012).
T. M. Atanackovic, B. N. Novakovic, Z. Vrcelj, Application of Pontryagins principle to Bimodal Optimization of Nano Rods. Int. Journal of Structural Stability and Dynamics, 12, No 3, 1250012 (11 pages) (2012).
T. M. Atanackovic, B. N. Novakovic, Z. Vrcelj, Shape optimization against buckling of micro- and nano-rods. Arch Appl Mech DOI 10.1007/s00419-012-0661-1 (2012).
I. Stojanac, M. Drobac, Lj. Petrovic, T. M. Atanackovic, Predicting in vivo failure of rotary nickel-titanium endodontic instruments under cyclic fatigue. Dental Materials Journal, 31(4) 650655 (2012).
I. N. Sarcev, B. S. Petronijevic, T. M. Atanackovic, An incremental technique with improved marginal adaptation of dental composite resin. Acta of Bioengineering and Biomechanics 14 (3) 85-91 (2012).
V.B. Glavardanov, D.T. Spasic, T.M. Atanackovic, Stability and optimal shape of Pflüger micro/nano beam. International Journal of Solids and Structures, 49, 25592567 (2012).
T. M. Atanackovic, S. Pilipovic, B. Stankovic, A theory of Linear Differential equations with fractional Derivatives. Bulletin de lAcadémie des sciences et arts. Classe des sciences mathématiques et naturalles, sciences mathématiques, 37, 7397 (2012).
T.M. Atanackovic, S. Pilipovic, D. Zorica, Distributed order fractional wave equation on a finite domain: creep and forced oscillations of a rod. Continuum Mech. Thermody., 23 305-318 (2011).
T.M. Atanackovic, S. Pilipovic, D. Zorica, Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod. International Journal of Engineering Science, 49 175-190 (2011).
T. M. Atanackovic, S. Pilipovic, Hamilton's principle with variable order fractional derivatives. Fractional Calculus and Applied Analysis. 14, No-1, 94-109 (2011).
B. N. Novakovic, T. M. Atanackovic, On the optimal shape of a compressed column subjected to restrictions on the cross-sectional area. Struct Multidisc Optim 43 683-691 (2011).
M. Janev, S. Pilipovic, T. Atanackovic, R. Obradovic, N. Ralevic, Fully fractional anisotropic diffusion for image denoising. Mathematical and Computer Modelling 54 (1-2), 729-741 (2011).
T.M. Atanackovic, D.C. Dolicanin, S. Pilipovic, Forced oscillations of a single degree of freedom system with Fractional dissipation. Scientific Publications of the State University of Novi Pazar, Ser A: Appl. Math. Inform. And Mech. 3, 1 1-10, (2011).
M. Janev, T.M. Atanackovic, S. Pilipovic, R. Obradovic, Image denoising by a direct variational minimization. EURASIP Journal on Advances in Signal Processing (2011), 2011:8 doi:10.1186/1687-6180-2011-8.
T.M. Atanackovic, S. Konjik, Lj. Oparnica, D. Zorica, Thermodynamical Restrictions and Wave Propagation for a Class of Fractional Order Viscoelastic Rods. Abstract and Applied Analysis, Volume 2011, Article ID 975694, 32 pages doi:10.1155/2011/975694
T.M. Atanackovic, A.P. Seyranian, Bimodal optimization with constraints: critical value of the constraint and post-critical congurations. Theoret. Appl. Mech., 38, 107-124 (2011).
J. K. Popovic, D. Dolicanin, M.R. Rapaic, S.L. Popovic, S. Pilipovic, T.M. Atanackovic, A nonlinear two compartmental fractional derivative model. Eur J Drug Metab Pharmacokinet., DOI 10.1007/s13318-011-0057-6 (2011).
T.M. Atanackovic, S. Konjik, Lj. Oparnica, D. Zorica, The Cattaneo type space-time fractional heat conduction equation. Continuum Mech. Thermodyn. DOI 10.1007/s00161-011-0199-4 (2011).
Lj. M. Petrovic, M.R. Drobac, I. Lj. Stojanac, T. M. Atanackovic, A method of improving marginal adaptation by elimination of singular stress point in composite restorations during resin photo-polymerization. Dental materials, 26, 449-455, (2010).
T.M. Atanackovic, B. B. Jakovljevic, M. R. Petkovic, On the optimal shape of a column with partial elastic foundation. European Journal of Mechanics A/Solids 29, 283-289, (2010).
J.K. Popovic, M. T. Atanackovic, A. S. Pilipovic, M. R. Rapaic, S. Pilipovic, T. M. Atanackovic, A new approach to the compartmental analysis in pharmacokinetics: fractional time evolution of diclofenac. J. Pharmacokinet Pharmacodyn, 37, 119-134 (2010).
J.K. Popovic, M. T. Atanackovic, A. S. Pilipovic, M. R. Rapaic, S. Pilipovic, T. M. Atanackovic, Remarks on the mass balance for multi-compartmental models; a nonlinear compartmental model. J Pharmacokinet Pharmacodyn, 37, 217-220 (2010).
T. M. Atanackovic, S. Konjik, Lj. Oparnica, S. Pilipovic, Generalized Hamilton's principle with fractional derivatives. J. Phys. A: Math. Theor. 43 (2010) 255203 (12pp). doi:10.1088/1751-8113/43/25/255203.
T. M. Atanackovic, B. N. Novakovic, E. Basara, On the optimal shape of a compressed column. Theoret. Appl. Mech., 37, No.1, pp. 37-48 (2010).
T. M. Atanackovic, S. Konjik, S. Pilipovic, S. Simic, Variational problems with fractional derivatives: Invariance conditions and Noether Theorem. Nonlinear Analysis (2009) Doi: 10.1016/j.na.2008.12.043.
T. M. Atanackovic, S. Pilipovic, D. Zorica: Time distributed order diffusion-wave equation Part I: Voltera type equation. Proc. of the Royal Society London. Ser. A. (2009) doi:10.109 8 /rspa.2008.0445.
T. M. Atanackovic, S. Pilipovic, D. Zorica: Time distributed order diffusion-wave equation Part II: Applications of the Laplace and Fourier transformations. Proc. of the Royal Society London. Ser. A. (2009) doi:10.1098/rspa.2008.0446.
T.M. Atanackovic, S. Pilipovic, D. Zorica, Existence and calculation of the solution to the time distributed order diffusion equation. Physica Scripata (2009).
B.N. Novakovic, T.M. Atanackovic, Optimal shape of a heavy elastic rod loaded with a tip concentrated force against buckling. International Journal of Structural Stability and Dynamics Vol.9, No.2 , 1-8 (2009).
T.M. Atanackovic, Ljubica Oparnica, S. Pilipovic, Distributional framework for solving fractional differential equations. Integral Transforms and Special Functions 20 215-222 (2009).
T.M Atanackovic, B. Stankovic, On a generalized wave equation in non-local elasticity. Acta Mechanica, DOI 10.1007/s00707-008-0120-9 (2008).
T.M. Atanackovic, Ljubica Oparnica, S. Pilipovic, Semilinear ordinary differential equation coupled with distributed order fractional differential equation. arXiv
T.M. Atanackovic, B. Stankovic, On a numerical scheme for solving differential equations of fractional order. Mechanics Research Communications 35 429-438 (2008).
B. Stankovic, T. M. Atanackovic, Generalized solutions of an equation with fractional derivatives. European. Journal of Applied Mathematics (2008) doi:10.1017/S095 679250800 7778
V. D. Djordjevic, T. M. Atanackovic, Similarity solutions to nonlinear conduction and Burgers/Korteweg-deVries fractional equations. Journal of Computational and Applied Mathematics. (2008) doi:10.1016/j.cam.2007.12013.
T. M. Atanackovic, A. P. Seyranian, Application of Pontryagin's principle to bimodal optimization problems. Struct Multidisc Optim. vol.37, 1-12. Dio 10.1007/s00158-007-0211-6.
T. M. Atanackovic, S. Konjik, S. Pilipovic, Variational problems with fractional derivatives: Euler-Lagrange equations. J. Phys. A: Math. Theor. 41, 095201 (2008). Doi:10.1088/1751-8113/41/9/095201.
Lj. M. Petrovic, T. M. Atanackovic, A model for shrinkage strain in photo polymerization of dental composites. Dental Materials, 24, 556-560 (2008).
T. M. Atanackovic, Y. Huo, Z. Jelicic, I. Mueller, Phase diagrams modified by interfacial penalties. Theoret. Appl. Mech., 34, 249-288 (2007).
T. M. Atanackovic, B. Stankovic, On the lateral deformation od an elastic beam with step change in cross-section and arbitrary transversal loading. Int. J. Dynamical Systems and Differential Equations, 1, No 2 139-146 (2007).
T. M. Atanackovic, Optimal Shape of a Rotating Rod with Unsymmetrical Boundary Conditions. Journal of Appl. Mechanics (transactions of ASME) 74, 1234-1238 (2007).
T. M. Atanackovic, B. Stankovic, On a class of differential equations with left and right fractional derivatives. Z. Angew. Math. Mech. (ZAMM) 87, 537-546 (2007).
T. M. Atanackovic, Optimal shape of an Elastic rod in flexural-torsional buckling. Z. Angew. Math. Mech. (ZAMM) 87, 399-405 (2007).
T. M. Atanackovic, B. Stankovic, On a Differential Equation with left and and right fractional derivatives. Fractional Calculus and Applied Analysis 10, 138-150 (2007).
T. M. Atanackovic, B. S. Baclic, More on the Problem and the Solution of the Optimal Shape of a Javelin. Studies in Applied Mathematics, 119, 173-189 (2007)
T. M. Atanackovic, Optimal Shape of a strongest inverted column. Journal of Computational and Applied Mathematics, 203, 209-218 (2007)
T. M. Atanackovic, Ljubica Oparnica and S. Pilipovic, On a nonlinear distributed order fractional differential equation. J. Math. Anal. Applications, 328, 590-608 (2007)
Z. D. Jelicic, T. M. Atanackovic, Optimal shape of a vertical rotating column. International Journal of Non-Linear Mechanics 42, 172-179 (2007)
T. M. Atanackovic, S. Pilipovic, D. Zorica, Diffusion wave equation with two fractional derivatives of different order. J. Phys. A: Math. Theor. 40, 5319-5333 (2007)
V. D. Djordjevic, T. M. Atanackovic, On the Application of Fractional Calculus in Mechanics. Plenary Lecture. Proceedings of the 1st International Congress of Serbian Society of Mechanics, 29-44 (2007)
T. M. Atanackovic, B. Stankovic, Distribution-valued functions and their applications. Integral Transforms and Special Functions, 17, 115-118 (2006).
B. Stankovic, T. M. Atanackovic, Generalized solutions to a linear discontinuous differential equation. J. Math. Anal. Applications, 324, 1462-1469 (2006).
Z. D. Jelicic, T. M. Atanackovic, On an optimization problem for elastic rods. Structural and Multidisciplinary Optimization, 32, 59-64 (2006).
T. M. Atanackovic, Optimal shape of column with own weight: bi and single modal optimization. Meccanica 41, 173-196 (2006).
T. M. Atanackovic and B. N. Novakovic, Optimal Shape of an elastic column on elastic foundation. European J. Mechanics, A/Solids, 25, 154-165 (2006).
T. M. Atanackovic, Lj. Oparnica and S. Pilipovic, On a model of viscoelastic rod in unilateral contact with a rigid wall. IMA Journal of Applied Mathematics 71, 1-13 (2006).
T. Atanackovic and S. Pilipovic, On a class of equations arising in linear viscoelasticity theory. Zeitschrift Angew. Math. Mech. (ZAMM) 85, 748-754 (2005).
Lj. M. Petrovic, D. T. Spasic and T. M. Atanackovic, On a mathematical model of a human root dentin. Dental Materials 21. 125-128 (2005).
T. M. Atanackovic and D. Braun, The strongest rotating rod. International Journal of Non-Linear Mechanics 40, 747-754 (2005).
T. M. Atanackovic, M. Budincevic, S. Pilipovic, On a Fractional distributed-order oscillator. J. Phys. A: Math. Gen. 38, 6703-6713 (2005).
B. N. Novakovic and T. M. Atanackovic, On Stability of the Column with a step change in a cross section. Iranian Journal of Science & Technology, Transactions B, 28, No B4 479-488 (2004).
D. T. Spasic and T. M. Atanackovic, Bimodal optimization of a compressed rotating rod. Acta Mechanica, 173, 77-87 (2004).
B. Stankovic, T. M. Atanackovic, An expansion formula for fractional derivatives. Fractional Calculus and Applied Analysis 7, 365-378 (2004).
B. Stankovic and T. M. Atanackovic, On an Inequality arising in Fractional oscillator Theory. Fractional Calculus and Applied Analysis, 7, 11-19 (2004).
T. M. Atanackovic, V. Glavardanov, Optimal shape of heavy compressed column. Journal of Struct.Multidisc. Optim. 28, 388-396 (2004).
T. M. Atanackovic and B. Stankovic, On a system of differential equations with fractional derivatives arising in rod theory. Journal of Physics A: Mathematical and General, 37, No 4, 1241-1250 (2004).
T. M. Atanackovic, On the optimal shape of the compressed rotating rod. Meccanica 39, 147-157 (2004).
T. M. Atanackovic, D. T. Spasic, On a viscoelastic compliant conctact impact model. Juornal of Applied Mechanics (transactions of ASME), &1, 134-138 (2004).
T. M. Atanackovic and B. Stankovic, Stability of an Elastic rod on a Fractional derivative type of Foundation. Journal of Sound and Vibration 227, 149-161 (2004).
T. M. Atanackovic, Z. D. Jelicic, Optimal shape and deformations of a lifting line with winglets. Bulletin de l'Académie Serbe des Sciences et des Arts. Classe des Sciences techniques 29, 57-79 (2003).
T. M. Atanackovic, On a Distributed derivative model of a Viscoelastic Body. Comptes Rendus de L'Academie des Sciences, Paris, Mechanics, 331 No 10, 687-692 (2003).
B. Stankovic and T. M. Atanackovic, On a viscoelastic rod with constitutive equation containing fractional derivative of two different orders. Mathematics and Mechanics of Solids, 9, 629-656 (2003).
T. M. Atanackovic, A modified Zener model of a viscoelastic body. Continuum Mechanics and Thermodynamics, 14, 137-148 (2002).
T. M. Atanackovic, Stability Bounds and Optimal Shape of Elastic rods. In Modern Problems of Structural Stability, pp. 1-56. Edited by: A. Seyranian and Isaac Elishakoff. International Centre for Mechanical Sciences, Courses and Lectures No 436, Springer Wien, New York, 2002.
B. Stankovic, T. M. Atanackovic, Dynamics of a Rod made of Generalized Kelvin-Voigt material. Journal of Mathematical Analysis and Applications, 268, 550-563 (2002).
T. M. Atanackovic, A Generalized model for the uniaxial isothermal deformation of a viscoelastic body. Acta Mechanica, 159, 77-86 (2002).
T. M. Atanackovic, B. Stankovic, Dynamics of a Viscoelastic rod of Fractional Derivative Type. Zeitschrift Angew. Math. Mech. (ZAMM), 82, 377-386 (2002).
T. M. Atanackovic, V. B. Glavardanov, Buckling of a twisted and compressed rod. International Journal of Solids and Structures, 39, 2987-2999 (2002).
B. Stankovic, T. M. Atanackovic, On a Model of a Viscoelastic rod. Fractional Calculus & Applied Analysis, 4, 501-522 (2001).
V. B. Glavardanov and T. M. Atanackovic, Optimal shape of a twisted compressed rod. Eur. J. Mech., A/Solids, 20, 795-809 (2001).
T. M. Atanackovic, On a Vujanovic-type variational principle with application to rod theory. Quarterly J. Mechanics Applied Mathematics 54 1-11 (2001).
T. M. Atanackovic, On the optimal shape of the rotating rod. Journal of Applied Mechanics (transactions of ASME) 86, 860-864 (2001).
D. T. Spasic and T. M. Atanackovic, A model for three spheres in colinear impact. Archive of Applied Mechanics, 71, 327-340 (2001).
R. B. Maretic, T. M. Atanackovic, Buckling of a Column with base Attached to elastic half-space. Journal of Engineering Mechanics (transactions of ASCE), 127, 242-247 (2001).
T.Atanackovic, On a bending problem for shape memory materials. Journal of the Mechanical Behaviour of Materials 11, 1-6 (2000).
B. S. Baclic and T. M. Atanackovic, Stability and creep of a Fractional order viscoelastic rod. Bull. de l'Académie Serbe des Sciences et des Arts. Classe des Sciences mathématiques et naturelles 25, 115-131 (2000).
T. M. Atanackovic and D. T. Spasic, On the impact of elastic bodies with adhesive forces, Meccanica 34 367-377 (1999).
A. F. Vakakis and T. M. Atanackovic, Buckling of an Elastic Ring Forced by a Periodic Array of Compressive Loads. Juornal of Applied Mechanics (transactions of ASME), 66 361-367 (1999).
T. M. Atanackovic and S. S. Simic, On the optimal shape of Pflüger column. Eur. J. Mech., A/Solids, 18, 903-913 (1999).
V. B. Glavardanov and T. M. Atanackovic, Stability of a pipe through which a sring is pulled. Int. J. Non-Linear Mechanics Mechanics 35, 7-20 (2000).
T. M. Atanackovic, B. D. Vujanovic and B. S. Baclic, , A Variational principle motivated by the optimal rod Theory. Acta Mechanica, 139, 57-71 (2000).
T. M. Atanackovic, R. B. Maretic and J. M. Milidragovic, On the Stability of an Elastic rod positioned on elastic half Space. Archive of Applied Mechanics, 69, 94-104 (1999).
L. J. Cveticanin and T. M. Atanackovic, On Beck's column with shear and compressibility. Structural Engineering and Mechanics, 6, 747-756 (1998).
L.J. Cveticanin, T. M. Atanackovic, Leipholz Column with Shear and Compressibility. Journal of Eng. Mechanics (ASCE), 124, 146-151 (1998).
A. Guran and T.M. Atanackovic, Fluid conveying pipe with shear and compressibility. Eur. J. Mech., A/Solids, 17, 121 - 137 (1997).
T.M. Atanackovic, D.S. Djukic and S.E. Jones, On the rotating rod with shear and extensibility. Int. J. Non-Linear Mechanics 33, 593-606 (1998).
T.M. Atanackovic, On the rotating rod with shear and extensibility. Continuum Mech. Thermodyn. 9, 143-153 (1997).
T.M. Atanackovic, On the rotating rod with variable cross-section. Archive of Applied Mechanics 67, 447-456 (1997).
T.M. Atanackovic, Buckling of a compressible elastic ring. Acta Mechanica. 127, 121-134 (1998).
L. Cveticanin and T. Atanackovic, Vibrations of a finite length beam with an axially movable load. Eur. J. Mech., A/Solids, 15, 667-680 (1996).
T.M. Atanackovic and V. Glavardanov, Twisted axially loaded rod with shear and compressibility. Acta Mechanica, 119, 119-130 (1996).
T.M. Atanackovic and L.J. Cveticanin, Dynamics of Plane Motion of an Elastic Rod. Journal of Applied Mechanics (transactions of ASME), 63 392-398 (1996).
Dj.S. Djukic and T.M. Atanackovic, Heavy horizontal rod with shear and compressibility. Int. J. Engineering Analysis and design, 2, 57-70 (1995).
T.M. Atanackovic and I. Müller, A New form of ther Coherency Energy in Pseudoelasticity. Meccanica, 30, 467-474 (1995).
L.J. Cveticanin, T.M. Atanackovic and Dj.S. Djukic, Beck's rod with shear, compressibility and pulsating force. Continuum Mech. Thermodyn. 8, 103-113 (1996).
T.M. Atanackovic and D.T. Spasic, A Model for plane elastica with simple shear deformation pattern. Acta Mechanica, 104, 241-253 (1994).
Dj.S. Djukic and T.M. Atanackovic, Stability of a vertically positioned heavy rotating rod. Continuum Mech. Thermodyn. 5, 51-65 (1993).
T.M. Atanackovic and Dj.S. Djukic, Negativism: A Nonlinear Version. Journal of Applied Mechanics (transactions of ASME), 60, 241-243 (1993).
Dj.S. Djukic and T.M. Atanackovic, Effect of Shear on Simple Buckling Problem. Journal of Engineering Mechanics (transactions of ASCE), 119, 1109-1115 (1993).
T.M. Atanackovic, Dj.S. Djukic and A.M. Strauss, Instability by Extension of an Extensible Elastic column. Zeitschrift Angew. Math. Mech. (ZAMM), 72, 209-218 (1992).
Dj.S. Djukic and T.M. Atanackovic, Extremum variational principle for an inextensible rotating rod. Int. J. Non-Linear Mechanics, 27, 591-595 (1992).
T.M. Atanackovic and Dj.S. Djukic, The influence of shear and extensibility on the stability of a heavy rotating rod. Dynamics and Stability of Systems, 7, 207-218 (1992).
Dj.S Djukic, T.M. Atanackovic and A.M. Strauss, An always extremun principle for classical mechanics via a canonical transformation. Int. J. Non-Linear Mechanics, 25, 583-595 (1991).
T.M. Atanackovic and Dj.S. Djukic, The influence of shear on the stability of a Pfluger column. Journal of Sound and Vibration, 144, 531-535 (1991).
T.M. Atanackovic, Dj.S. Djukic and S.E. Jones, Effect of shear on stability and nonlinear behavior of a rotating rod. Archive of Applied Mechanics, 61, 285-294 (1991).
T.M. Atanackovic and D.T. Spasic, Effect of shear and compressibility on stability of a heavy column with an end load. Q. Jl. Mech. App. Math. 44, 601-617 (1991).
T.M. Atanackovic and Dj.S. Djukic, An extremum variational principle for some non-linear diffusion problems. Int. J. Heat Mass Transfer, 33, 1081-1085 (1990).
T.M. Atanackovic and L.J. Cveticanin, Pfluger rod with shear and extensibility. Archive of Applied Mechanics, 64, 497-508 (1994).
L. Cveticanin and T.M. Atanackovic, Non-Linear vibration of an Extensible elastic beam. Journal of Sound and Vibration, 177, 159-171 (1994).
T.M. Atanackovic and M. Achenbach, Moment-curvature relations for a pseudoplastic beam. Continuum Mech. Thermodyn. 1, 73-80 (1989).
T.M. Atanackovic and M. Achenbach, Stability of an extensible rotating rod. Continuum Mech. Thermodyn. 1, 81-95 (1989).
T.M. Atanackovic, Stability of a Compressible Elastic Rod with Imperfections. Acta Mechanica. 76, 203-222 (1989).
T.M. Atanackovic, Dj.S. Djukic and A.M. Strauss, A Variational Principle for an Isothermal Chemical Reaction. Zeitschrift Angew. Math. Mech. (ZAMM), 69, 104-106 (1989).
T.M. Atanackovic and Dj.S. Djukic, Buckling by extension:stability boundary and post-critical behaviour. Dynamics and Stability of Systems, 4, 81-94 (1989).
S.E. Jones, T.M. Atanackovic and M. Dehn, Remarks on the brachistochrone with viscous friction. American J. of Physics, 56, 758-759 (1988).
T.M. Atanackovic, Stability of rotating compressed rod with imperfections. Math. Proc. Camb. Phil. Soc. 101, 593-607 (1987).
T.M. Atanackovic and A.M. Strauss, Stability of Pflüger's column with imperfections. Journal of Applied Mathematics and Physics (ZAMP), 38, 839-855 (1987).
Dj.S. Djukic and T.M. Atanackovic, An Extremum Variational Principle and error estimate procedure for Radial flow of a Viscous fluid between porous discs. Int. J. non-Linear Mechanics, 22, 81-87 (1987).
M. Achenbach, T. Atanackovic and I. Muller, A Model for Memory Alloys in Plane Strain. Int. J. Solids Structures, 22, 171-193 (1986).
T.M. Atanackovic, Buckling of Rotating Compressed Rods. Acta Mechanica, 60, 49-66 (1986).
T.M. Atanackovic and M. Achenbach, A Least Square Solution and Error Estimate for Some Vibration Problems. Zeitschrift Angew. Math. Mech. (ZAMM), 65, 57-59 (1985).
T.M. Atanackovic and Dj.S. Djukic, A Note on the rotating chain problem. Journal of Applied Mathematics and Physics (ZAMP), 36, 757-763 (1985).
T.M. Atanackovic, A Variational Principle for a non-linear diffusion problem. Int. J. Heat Mass Transfer, 28, 882-883 (1985).
T.M. Atanackovic, Buckling of a Heavy copressed column with imperfections. Q. Jl. Mech. Appl. Math. 39, 361-379 (1985).
T.M. Atanackovic, Variational Principle and Error Bounds for a Problem in Combustion Theory. Lettere al Nuovo Cimento, 43, 45-48 (1985).
T.M. Atanackovic, Estimates of Maximum Deflection for Rotating Rod. Q. Jl. Mech. Appl. Math. 37, 515-523 (1984).
Dj.S. Djukic and T.M. Atanackovic, An Extremum Variational Principle for Classical Hamiltonian Systems. Acta Mechanica, 50, 163-175 (1984).
T.M. Atanackovic and Dj. S. Djukic, Error Bounds Via a New Variational Principle for Classical Hamiltonian Systems. Acta Mechanica, 50, 177-191 (1984).
Dj.S. Djukic and T.M. Atanackovic, Extremum Variational Principles in Classical Mechanics. Atti della Accademia delle Scienze di Torino Supplemento al Vol 117, 481-506 (1983).
T.M. Atanackovic, The Sufficient Conditions for an Extremum in the Variational Principle with Non-conservative Rules. Atti della Accademia delle Scienze di Torino Supplemento al Vol 117, 463-467 (1983).
T.M. Atanackovic and Dj.S. Djukic, An Extremum Variational Principle for a Class of Boundary value Problems. Journal Math. Analysis Applications, 93, 344-362 (1983).
T.M. Atanackovic, A Variational Principle for a Radiation Problem. Int. J. Heat Mass Transfer, 26, 1255-1256 (1983).
T.M. Atanackovic, Estimates of maximun Deflection for a Buckled Column. Ingenieur-Archiv, 53, 419-427 (1983).
T.M. Atanackovic, A Note on the Thomas-Fermi Equatiuon. Zeitschrift Angew. Math. Mech. (ZAMM), 63, 642-643 (1983).
T.M. Atanackovic and Dj.S. Djukic, A Variational Principle for a Diffusion Problem. Zeitschrift Angew. Math. Mech. (ZAMM), 62, 417-418 (1982).
Dj.S. Djukic and T.M. Atanackovic, Contribution to Error Estimate. Journal Math. Analysis Applications, 88, 183-195 (1982).
Dj.S. Djukic and T.M. Atanackovic, An Extremum Variational Principle and error estimate procedure for $q^{iv}=f(q,x)$. Math. Proc. Camb. Phil. Soc. 92, 307-316 (1982).
T.M. Atanackovic and B.M. Milisavljevic, Some Estimates for a Buckling Problem. Acta Mechanica, 41, 63-71 (1981).
T.M. Atanackovic, Variational Principles for Column Buckling. IMA Jurnal of Applied Mathematics, 27, 221-228 (1981).
Dj.S. Djukic and T.M. Atanackovic, The Least Squares Method: Kantorovich Approach. Int. J. Heat Mass Transfer, 24, 443-448 (1981).
T.M. Atanackovic, On the Conservation laws for Continuous Bodies. Acta Mechanica, 38, 157-167 (1981).
Dj.S. Djukic and T.M. Atanackovic, Error Bounds via a New Extremum Variational Principle, Mean Square Residual and Weighted Mean Square Residual. Journal Math. Analysis and Applications, 75, 203-218 (1980).
T. Atanackovic and B. Baclic, A new Time invariant for Heat Conduction with Finite Wave Speed. Zeitschrift Angew. Math. Mech. (ZAMM), 60, 168-169 (1980).
T.M. Atanackovic, Some Optimization Problems for Elastic Bodies. Journal of Optimiz. Theory and Applications, 32, 101-110 (1980).
T.M. Atanackovic, Two optimal Control Problems of Finite Elasticity Theory. Int. J. Non-Linear Mechanics, 14, 297-303 (1979).
T.M. Atanackovic, The brachistrochrone for a material point with arbitrary initial velocity. American J. Physics, 46, 1274-1275 (1978).
T.M. Atanackovic, A note on the Infinitesimal Inviscid-Like motions of Viscous Fluids. Meccanica, 12, 138-139 (1977).
T.M. Atanackovic, On a Stationarity Principle for Non-Conservative Dynamical Systems. Int. J. Non-Linear Mechanics, 13, 139-143 (1978).
T.M. Atanackovic, Optimal Control of Dynamically Controllable Motions: An Example. J. Inst. Maths. Applics. 21, 293-299 (1978).
T.M. Atanackovic, Geometry of motion of a single elastic body point. J. Mathematical Physics, 19, 880-882 (1978).
B. Vujanovic and T. Atanackovic, On the Use of Jourdain's Variational Principle in Nonlinear Mechanics and Transport Phenomena. Acta Mechanica, 29, 229-238 (1978).
T.M. Atanackovic, A note on a Variational Principle for Simple Elastic Materials. Acta Mechanica, 26, 331-335 (1977).
T.M. Atanackovic and D.C. Leigh, Slip-Plane and Slip-Cylinder Theorems for Slow Viscous Flow. Acta Mechanica, 27, 121-126 (1977).
T.M. Atanackovic, Slow Viscous Flows over a Flat Plate with Mixed Boundary Conditions. Ingenieur-Archiv, 46, 157-160 (1977).
T.M. Atanackovic, On the Plane Creeping Flow of Second order Fluids with mixed Boundary Conditions. Publications de L'Institut Mathématique, NS 21, 21-27 (1977).
Dj. S. Djukic and T.M. Atanackovic, A Note on the Classical Brachistochrone. Journal of Applied Mathematics and Physics (ZAMP), 27, 677-681 (1976).
T.M. Atanackovic and S.E. Jones, Ageneralized variational Formulation. Journal Math. Analysis and Applications, 48, 672-679 (1974).