Professor Teodor Atanackovic -- List of selected publications

 

Books
Selected Journal Papers


Books
  1. T. Atanackovic, Stability Theory of Elastic Rods. World Scientific, 1997
  2. T. M. Atanackovic, A. Guran, Theory of Elasticity for Scientists and Engineers. Birkhauser, 2000.
  3. T. M. Atanackovic, A. Guran, Lectures on Elasticity Theory, Sankt Petersburg University Press 2003 (in Russian).
  4. B. D. Vujanovic and T. M. Atanackovic, An Introduction to Modern Variational Techniques in Mechanics and Engineering. Birkhauser, Boston 2004.



Selected Journal Papers
  1. T. M. Atanackovic, B. Stankovic, Distribution-valued functions and their applications. Integral Transforms and Special Functions, 17, 115-118 (2006).

  2. B. Stankovic, T. M. Atanackovic, An expansion formula for fractional derivatives. Fractional Calculus and Applied Analysis 7, 365-378 (2004).

  3. B. Stankovic, T. M. Atanackovic, Generalized solutions to a linear discontinuous differential equation. J. Math. Anal. Applications, 324, 1462-1469 (2006).

  4. Z. D. Jelicic, T. M. Atanackovic, On an optimization problem for elastic rods. Structural and Multidisciplinary Optimization, 32, 59-64 (2006).

  5. T. M. Atanackovic, Optimal shape of column with own weight: bi and single modal optimization. Meccanica 41, 173-196 (2006).

  6. 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).

  7. 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).

  8. T. M. Atanackovic, M. Budincevic, S. Pilipovic, On a Fractional distributed-order oscillator. J. Phys. A: Math. Gen. 38, 6703-6713 (2005).

  9. 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).

  10. T. Atanackovic and S. Pilipovic, On a class of equations arising in linear viscoelasticity theory. Zeitschrift Angew. Math. Mech. (ZAMM) 85, 748-754 (2005).

  11. 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).

  12. D. T. Spasic and T. M. Atanackovic, Bimodal optimization of a compressed rotating rod. Acta Mechanica, 173, 77-87 (2004).

  13. 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).

  14. T. M. Atanackovic and D. Braun, The strongest rotating rod. International Journal of Non-Linear Mechanics 40, 747-754 (2005).

  15. B. Stankovic and T. M. Atanackovic, On an Inequality arising in Fractional oscillator Theory. Fractional Calculus and Applied Analysis, 7, 11-19 (2004).

  16. T. M. Atanackovic, V. Glavardanov, Optimal shape of heavy compressed column. Journal of Struct.Multidisc. Optim. 28, 388-396 (2004).

  17. 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).

  18. T. M. Atanackovic, On the optimal shape of the compressed rotating rod. Meccanica 39, 147-157 (2004).

  19. 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).

  20. 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).

  21. 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).

  22. 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.

  23. T. M. Atanackovic, D. T. Spasic, On a viscoelastic compliant conctact impact model. Juornal of Applied Mechanics (transactions of ASME), &1, 134-138 (2004).

  24. 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).

  25. T. M. Atanackovic, A Generalized model for the uniaxial isothermal deformation of a viscoelastic body. Acta Mechanica, 159, 77-86 (2002).

  26. T. M. Atanackovic, B. Stankovic, Dynamics of a Viscoelastic rod of Fractional Derivative Type. Zeitschrift Angew. Math. Mech. (ZAMM), 82, 377-386 (2002).

  27. T. M. Atanackovic, V. B. Glavardanov, Buckling of a twisted and compressed rod. International Journal of Solids and Structures, 39, 2987-2999 (2002).

  28. B. Stankovic, T. M. Atanackovic, On a Model of a Viscoelastic rod. Fractional Calculus & Applied Analysis, 4, 501-522 (2001).

  29. V. B. Glavardanov and T. M. Atanackovic, Optimal shape of a twisted compressed rod. Eur. J. Mech., A/Solids, 20, 795-809 (2001).

  30. T. M. Atanackovic, A modified Zener model of a viscoelastic body. Continuum Mechanics and Thermodynamics, 14, 137-148 (2002).

  31. T. M. Atanackovic, On the optimal shape of the rotating rod. Journal of Applied Mechanics (transactions of ASME) 86, 860-864 (2001).

  32. D. T. Spasic and T. M. Atanackovic, A model for three spheres in colinear impact. Archive of Applied Mechanics, 71, 327-340 (2001).

  33. 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).

  34. T.Atanackovic, On a bending problem for shape memory materials. Journal of the Mechanical Behaviour of Materials 11, 1-6 (2000).

  35. 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).

  36. T. M. Atanackovic, On a Vujanovic-type variational principle with application to rod theory. Quarterly J. Mechanics Applied Mathematics 54 1-11 (2001).

  37. T. M. Atanackovic and D. T. Spasic, On the impact of elastic bodies with adhesive forces, Meccanica 34 367-377 (1999).

  38. 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).

  39. T. M. Atanackovic and S. S. Simic, On the optimal shape of Pflüger column. Eur. J. Mech., A/Solids, 18, 903-913 (1999).

  40. 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).

  41. 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).

  42. 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).

  43. L. J. Cveticanin and T. M. Atanackovic, On Beck's column with shear and compressibility. Structural Engineering and Mechanics, 6, 747-756 (1998).

  44. L.J. Cveticanin, T. M. Atanackovic, Leipholz Column with Shear and Compressibility. Journal of Eng. Mechanics (ASCE), 124, 146-151 (1998).

  45. A. Guran and T.M. Atanackovic, Fluid conveying pipe with shear and compressibility. Eur. J. Mech., A/Solids, 17, 121 - 137 (1997).

  46. 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).

  47. T.M. Atanackovic, On the rotating rod with shear and extensibility. Continuum Mech. Thermodyn. 9, 143-153 (1997).

  48. T.M. Atanackovic, On the rotating rod with variable cross-section. Archive of Applied Mechanics 67, 447-456 (1997).

  49. T.M. Atanackovic, Buckling of a compressible elastic ring. Acta Mechanica. 127, 121-134 (1998).

  50. 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).

  51. T.M. Atanackovic and V. Glavardanov, Twisted axially loaded rod with shear and compressibility. Acta Mechanica, 119, 119-130 (1996).

  52. 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).

  53. Dj.S. Djukic and T.M. Atanackovic, Heavy horizontal rod with shear and compressibility. Int. J. Engineering Analysis and design, 2, 57-70 (1995).

  54. T.M. Atanackovic and I. Müller, A New form of ther Coherency Energy in Pseudoelasticity. Meccanica, 30, 467-474 (1995).

  55. 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).

  56. T.M. Atanackovic and D.T. Spasic, A Model for plane elastica with simple shear deformation pattern. Acta Mechanica, 104, 241-253 (1994).

  57. Dj.S. Djukic and T.M. Atanackovic, Stability of a vertically positioned heavy rotating rod. Continuum Mech. Thermodyn. 5, 51-65 (1993).

  58. T.M. Atanackovic and Dj.S. Djukic, Negativism: A Nonlinear Version. Journal of Applied Mechanics (transactions of ASME), 60, 241-243 (1993).

  59. 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).

  60. 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).

  61. Dj.S. Djukic and T.M. Atanackovic, Extremum variational principle for an inextensible rotating rod. Int. J. Non-Linear Mechanics, 27, 591-595 (1992).

  62. 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).

  63. 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).

  64. 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).

  65. 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).

  66. 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).

  67. 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).

  68. T.M. Atanackovic and L.J. Cveticanin, Pfluger rod with shear and extensibility. Archive of Applied Mechanics, 64, 497-508 (1994).

  69. L. Cveticanin and T.M. Atanackovic, Non-Linear vibration of an Extensible elastic beam. Journal of Sound and Vibration, 177, 159-171 (1994).

  70. T.M. Atanackovic and M. Achenbach, Moment-curvature relations for a pseudoplastic beam. Continuum Mech. Thermodyn. 1, 73-80 (1989).

  71. T.M. Atanackovic and M. Achenbach, Stability of an extensible rotating rod. Continuum Mech. Thermodyn. 1, 81-95 (1989).

  72. T.M. Atanackovic, Stability of a Compressible Elastic Rod with Imperfections. Acta Mechanica. 76, 203-222 (1989).

  73. 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).

  74. 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).

  75. S.E. Jones, T.M. Anatackovic and M. Dehn, Remarks on the brachistochrone with viscous friction. American J. of Physics, 56, 758-759 (1988).

  76. T.M. Atanackovic, Stability of rotating compressed rod with imperfections. Math. Proc. Camb. Phil. Soc. 101, 593-607 (1987).

  77. 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).

  78. 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).

  79. M. Achenbach, T. Atanackovic and I. Muller, A Model for Memory Alloys in Plane Strain. Int. J. Solids Structures, 22, 171-193 (1986).

  80. T.M. Atanackovic, Buckling of Rotating Compressed Rods. Acta Mechanica, 60, 49-66 (1986).

  81. 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).

  82. 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).

  83. T.M. Atanackovic, A Variational Principle for a non-linear diffusion problem. Int. J. Heat Mass Transfer, 28, 882-883 (1985).

  84. T.M. Atanackovic, Buckling of a Heavy copressed column with imperfections. Q. Jl. Mech. Appl. Math. 39, 361-379 (1985).

  85. T.M. Atanackovic, Variational Principle and Error Bounds for a Problem in Combustion Theory. Lettere al Nuovo Cimento, 43, 45-48 (1985).

  86. T.M. Atanackovic, Estimates of Maximum Deflection for Rotating Rod. Q. Jl. Mech. Appl. Math. 37, 515-523 (1984).

  87. Dj.S. Djukic and T.M. Atanackovic, An Extremum Variational Principle for Classical Hamiltonian Systems. Acta Mechanica, 50, 163-175 (1984).

  88. T.M. Atanackovic and Dj. S. Djukic, Error Bounds Via a New Variational Principle for Classical Hamiltonian Systems. Acta Mechanica, 50, 177-191 (1984).

  89. 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).

  90. 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).

  91. 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).

  92. T.M. Atanackovic, A Variational Principle for a Radiation Problem. Int. J. Heat Mass Transfer, 26, 1255-1256 (1983).

  93. T.M. Atanackovic, Estimates of maximun Deflection for a Buckled Column. Ingenieur-Archiv, 53, 419-427 (1983).

  94. T.M. Atanackovic, A Note on the Thomas-Fermi Equatiuon. Zeitschrift Angew. Math. Mech. (ZAMM), 63, 642-643 (1983).

  95. T.M. Atanackovic and Dj.S. Djukic, A Variational Principle for a Diffusion Problem. Zeitschrift Angew. Math. Mech. (ZAMM), 62, 417-418 (1982).

  96. Dj.S. Djukic and T.M. Atanackovic, Contribution to Error Estimate. Journal Math. Analysis Applications, 88, 183-195 (1982).

  97. 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).

  98. T.M. Atanackovic and B.M. Milisavljevic, Some Estimates for a Buckling Problem. Acta Mechanica, 41, 63-71 (1981).

  99. T.M. Atanackovic, Variational Principles for Column Buckling. IMA Jurnal of Applied Mathematics, 27, 221-228 (1981).

  100. Dj.S. Djukic and T.M. Atanackovic, The Least Squares Method: Kantorovich Approach. Int. J. Heat Mass Transfer, 24, 443-448 (1981).

  101. T.M. Atanackovic, On the Conservation laws for Continuous Bodies. Acta Mechanica, 38, 157-167 (1981).

  102. 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).

  103. 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).

  104. T.M. Atanackovic, Some Optimization Problems for Elastic Bodies. Journal of Optimiz. Theory and Applications, 32, 101-110 (1980).

  105. T.M. Atanackoivc, Two optimal Control Problems of Finite Elasticity Theory. Int. J. Non-Linear Mechanics, 14, 297-303 (1979).

  106. T.M. Atanackovic, The brachistrochrone for a material point with arbitrary initial velocity. American J. Physics, 46, 1274-1275 (1978).

  107. T.M. Atanackovic, A note on the Infinitesimal Inviscid-Like motions of Viscous Fluids. Meccanica, 12, 138-139 (1977).

  108. T.M. Atanackovic, On a Stationarity Principle for Non-Conservative Dynamical Systems. Int. J. Non-Linear Mechanics, 13, 139-143 (1978).

  109. T.M. Atanackovic, Optimal Control of Dynamically Controllable Motions: An Example. J. Inst. Maths. Applics. 21, 293-299 (1978).

  110. T.M. Atanackovic, Geometry of motion of a single elastic body point. J. Mathematical Physics, 19, 880-882 (1978).

  111. 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).

  112. T.M. Atanackovic, A note on a Variational Principle for Simple Elastic Materials. Acta Mechanica, 26, 331-335 (1977).

  113. T.M. Atanackovic and D.C. Leigh, Slip-Plane and Slip-Cylinder Theorems for Slow Viscous Flow. Acta Mechanica, 27, 121-126 (1977).

  114. T.M. Atanackovic, Slow Viscous Flows over a Flat Plate with Mixed Boundary Conditions. Ingenieur-Archiv, 46, 157-160 (1977).

  115. 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).

  116. Dj. S. Djukic and T.M. Atanackovic, A Note on the Classical Brachistochrone. Journal of Applied Mathematics and Physics (ZAMP), 27, 677-681 (1976).

  117. T.M. Atanackovic and S.E. Jones, Ageneralized variational Formulation. Journal Math. Analysis and Applications, 48, 672-679 (1974).

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