Teodor Atanacković
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Mathematics
Teodor Atanacković's Degrees
- PhD Mathematics University of Belgrade
- Masters Mathematics University of Belgrade
- Bachelors Mathematics University of Belgrade
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Why Is Teodor Atanacković Influential?
(Suggest an Edit or Addition)According to Wikipedia, Teodor Atanackovic is full professor of Mechanics since 1988 at the Faculty of Technical Sciences at the University of Novi Sad. He graduated from the Mechanical Engineering faculty in Novi Sad in 1969. In 1974 he obtained a PhD degree at Department of Mechanics, University of Kentucky, Lexington Ky. USA. He held Alexander von Humboldt research fellowship at the Technische Universität Berlin, Germany. Since 2009 he is full member of Serbian Academy of Sciences and Arts and in 2014 he was elected Professor emeritus of the University of Novi Sad. At present he is Secretary of the Branch in Novi Sad of Serbian Academy of Sciences and Arts. His research interests include Continuum mechanics, Variational principles of mechanics, Shape memory materials, Visco-elasticity of fractional type, Biomechanics, Stability of elastic systems, and the problems of Shape optimization of elastic rods.
Teodor Atanacković's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Fractional Calculus with Applications in Mechanics: Vibrations and Diffusion Processes (2014) (263)
- Variational problems with fractional derivatives: Euler–Lagrange equations (2008) (161)
- Fractional Calculus with Applications in Mechanics: Wave Propagation, Impact and Variational Principles (2014) (149)
- Theory of elasticity for scientists and engineers (2000) (130)
- On a numerical scheme for solving differential equations of fractional order (2008) (123)
- Similarity solutions to nonlinear heat conduction and Burgers/Korteweg-deVries fractional equations (2008) (121)
- Variational problems with fractional derivatives: Invariance conditions and N\ (2009) (119)
- Generalized wave equation in nonlocal elasticity (2009) (117)
- A modified Zener model of a viscoelastic body (2002) (117)
- Time distributed-order diffusion-wave equation. I. Volterra-type equation (2009) (116)
- On a fractional distributed-order oscillator (2005) (104)
- A generalized model for the uniaxial isothermal deformation of a viscoelastic body (2002) (92)
- Stability Theory Of Elastic Rods (1997) (91)
- Time distributed-order diffusion-wave equation. II. Applications of Laplace and Fourier transformations (2009) (89)
- A diffusion wave equation with two fractional derivatives of different order (2007) (88)
- Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod (2010) (66)
- On a mathematical model of a human root dentin. (2005) (66)
- On a system of differential equations with fractional derivatives arising in rod theory (2004) (65)
- On a distributed derivative model of a viscoelastic body (2003) (65)
- A new approach to the compartmental analysis in pharmacokinetics: fractional time evolution of diclofenac (2010) (65)
- An Expansion Formula for Fractional Derivatives and its Application (2004) (64)
- Fully fractional anisotropic diffusion for image denoising (2011) (63)
- On the fractional generalization of Eringenʼs nonlocal elasticity for wave propagation (2013) (62)
- On a nonlinear distributed order fractional differential equation (2007) (61)
- Dynamics of a Viscoelastic Rod of Fractional Derivative Type (2002) (59)
- On a class of differential equations with left and right fractional derivatives (2007) (57)
- Properties of the Caputo-Fabrizio fractional derivative and its distributional settings (2018) (57)
- An introduction to modern variational techniques in mechanics and engineering (2004) (54)
- A model for memory alloys in plane strain (1986) (51)
- Hamilton’s principle with variable order fractional derivatives (2011) (48)
- On a Differential Equation with Left and Right Fractional Derivatives (2007) (48)
- Moment-curvature relations for a pseudoelastic beam (1989) (46)
- A non-linear thermo-viscoelastic rheological model based on fractional derivatives for high temperature creep in concrete (2018) (46)
- Complex order fractional derivatives in viscoelasticity (2014) (42)
- Distributed-order fractional wave equation on a finite domain: creep and forced oscillations of a rod (2011) (40)
- Thermodynamical Restrictions and Wave Propagation for a Class of Fractional Order Viscoelastic Rods (2011) (40)
- The Cattaneo type space-time fractional heat conduction equation (2012) (38)
- A model of the viscoelastic behavior of flowable resin composites prior to setting. (2013) (37)
- Existence and calculation of the solution to the time distributed order diffusion equation (2009) (34)
- A model for shrinkage strain in photo polymerization of dental composites. (2008) (34)
- Fractional model for pharmacokinetics of high dose methotrexate in children with acute lymphoblastic leukaemia (2015) (34)
- On Viscoelastic Compliant Contact-Impact Models (2004) (33)
- A method of improving marginal adaptation by elimination of singular stress point in composite restorations during resin photo-polymerization. (2010) (32)
- Vibrations of an elastic rod on a viscoelastic foundation of complex fractional Kelvin–Voigt type (2015) (30)
- Optimal shape of an elastic column on elastic foundation (2006) (28)
- Stability of an elastic rod on a fractional derivative type of foundation (2004) (27)
- On the optimal shape of a Pflüger column (1999) (26)
- Distributional framework for solving fractional differential equations (2009) (25)
- Optimal Shape of Column with Own Weight: Bi and Single Modal Optimization (2006) (23)
- Expansion formula for fractional derivatives in variational problems (2014) (21)
- Application of Pontryagin’s principle to bimodal optimization problems (2008) (20)
- An expansion formula for fractional derivatives of variable order (2013) (20)
- Error bounds via a new extremum variational principle, mean square residual and weighted mean square residual (1980) (18)
- Analysis of Strain (2000) (18)
- On the Optimal Shape of a Compressed Rotating Rod (2004) (18)
- On a model of viscoelastic rod in unilateral contact with a rigid wall (2006) (18)
- Semilinear ordinary differential equation coupled with distributed order fractional differential equation (2008) (17)
- Stability and optimal shape of Pflüger micro/nano beam (2012) (17)
- Optimal shape of a twisted and compressed rod (2001) (17)
- Dynamics of a rod made of generalized Kelvin-Voigt visco-elastic material (2002) (17)
- On the Bagley–Torvik Equation (2013) (17)
- Two compartmental fractional derivative model with fractional derivatives of different order (2013) (17)
- Stability of rotating compressed rod with imperfections (1987) (16)
- A model for plane elastica with simple shear deformation pattern (1994) (16)
- Space–time fractional Zener wave equation (2014) (16)
- Optimal shape of a strongest inverted column (2007) (15)
- Nano- and viscoelastic Beck’s column on elastic foundation (2014) (15)
- Generalized Hamilton's principle with fractional derivatives (2010) (15)
- Forced oscillations of a body attached to a viscoelastic rod of fractional derivative type (2012) (15)
- Cauchy problems for some classes of linear fractional differential equations (2014) (14)
- On the Optimal Shape of a Rotating Rod (2001) (14)
- On the thermodynamical restrictions in isothermal deformations of fractional Burgers model (2020) (14)
- On the rotating rod with variable cross section (1997) (13)
- Wave equation for generalized Zener model containing complex order fractional derivatives (2016) (13)
- APPLICATION OF PONTRYAGIN'S PRINCIPLE TO BIMODAL OPTIMIZATION OF NANO RODS (2012) (13)
- On the optimal shape of a column with partial elastic foundation (2010) (12)
- Viscoelastic properties of uncured resin composites: Dynamic oscillatory shear test and fractional derivative model. (2015) (11)
- On a constitutive equation of heat conduction with fractional derivatives of complex order (2018) (11)
- The strongest rotating rod (2005) (11)
- A new form of the coherency energy in pseudoelasticity (1995) (11)
- On the optimal shape of a compressed column subjected to restrictions on the cross-sectional area (2011) (11)
- Stability of a compressible elastic rod with imperfections (1989) (11)
- Optimal shape of a vertical rotating column (2007) (11)
- Euler–Lagrange Equations for Lagrangians Containing Complex-order Fractional Derivatives (2017) (10)
- Analysis of Stress (2000) (10)
- EFFECT OF SHEAR AND COMPRESSIBILITY ON STABILITY OF A HEAVY COLUMN WITH AN END LOAD (1991) (10)
- Generalized solutions to a linear discontinuous differential equation (2006) (10)
- On a class of equations arising in linear viscoelasticity theory (2005) (10)
- Stability of the rotating compressed nano‐rod (2014) (10)
- On a Viscoelastic Rod with Constitutive Equation Containing Fractional Derivatives of Two Different Orders (2004) (10)
- Buckling of a twisted and compressed rod (2002) (10)
- Optimal Shape of a Rotating Rod With Unsymmetrical Boundary Conditions (2007) (9)
- Buckling of rotating compressed rods (1986) (9)
- Dynamic Stability of Axially Loaded Nonlocal Rod on Generalized Pasternak Foundation (2017) (9)
- On Beck's column with shear and compressibility (1998) (9)
- Optimal shape of an elastic rod in flexural – torsional buckling (2007) (8)
- Variational Problems with Fractional Derivatives (2014) (8)
- Predicting in vivo failure of rotary nickel-titanium endodontic instruments under cyclic fatigue. (2012) (8)
- Rotating Nanorod with clamped ends (2015) (8)
- Dynamics of Plane Motion of an Elastic Rod (1996) (8)
- Dissipativity and stability for a nonlinear differential equation with distributed order symmetrized fractional derivative (2011) (7)
- Complementary variational principles with fractional derivatives (2012) (7)
- BUCKLING OF COLUMN WITH BASE ATTACHED TO ELASTIC HALF-SPACE (2001) (7)
- Remarks on the mass balance for multi-compartmental models; a nonlinear compartmental model (2010) (7)
- Modeling the rheological properties of four commercially available composite core build-up materials (2020) (7)
- Twisted axially loaded rod with shear and compressibility (1996) (7)
- Bimodal optimization of a compressed rotating rod (2004) (7)
- Fluid conveying pipe with shear and compressibility (1998) (6)
- An extremum variational principle for a class of boundary value problems (1983) (6)
- On an optimization problem for elastic rods (2006) (6)
- Buckling and Postbuckling of a Heavy Compressed Nanorod on Elastic Foundation (2017) (6)
- Fractional Jeffreys-type diffusion equation (2010) (5)
- Stability of an extensible rotating rod (1989) (5)
- Some estimates for a buckling problem (1981) (5)
- A biomechanical model for a new incremental technique for tooth restoration. (2012) (5)
- A Note on the Thomas‐Fermi Equation (1983) (5)
- On Post-Critical Behavior of a Beam on an Elastic Foundation (2017) (5)
- Convergence analysis of a numerical scheme for two classes of non-linear fractional differential equations (2014) (5)
- Boundary Value Problems of Elasticity Theory (2000) (5)
- BUCKLING OF A HEAVY COMPRESSED COLUMN WITH IMPERFECTIONS (1986) (5)
- BOND STRENGTH COMPARISON OF THREE CORE BUILD-UP MATERIALS USED TO RESTORE MAXILLARY INCISOR TEETH (2011) (5)
- Wave propagation dynamics in a fractional Zener model with stochastic excitation (2020) (5)
- The influence of shear on the stability of a Pflüger column (1991) (5)
- Image denoising by a direct variational minimization (2011) (5)
- A model for three spheres in colinear impact (2001) (5)
- Vibrations of a system: Viscoelastic rod of fractional type and a body attached to the rod (2012) (4)
- Zener Model with General Fractional Calculus: Thermodynamical Restrictions (2022) (4)
- On a Vujanovic-type variational principle with application to rod theory (2001) (4)
- The least squares method: Kantorovich approach (1981) (4)
- Dynamics of a Fractional Derivative Type of a Viscoelastic Rod With Random Excitation (2015) (4)
- On the stability of an elastic column positioned on an elastic half space (1999) (4)
- On the use of Jourdain's variational principle in nonlinear mechanics and transport phenomena (1978) (4)
- Non-linear boundary value problems involving Caputo derivatives of complex fractional order (2018) (4)
- On the Impact of Elastic Bodies with Adhesive Forces (1999) (4)
- Variational problems of Herglotz type with complex order fractional derivatives and less regular Lagrangian (2019) (4)
- Buckling by extension: stability boundary and post-critical behaviour (1989) (3)
- An always extremum variational principle for classical mechanics via a canonical transformation (1990) (3)
- On a stationarity principle for non-conservative dynamical systems (1978) (3)
- On a system of equations arising in viscoelasticity theory of fractional type (2012) (3)
- On conservation laws for continuous bodies (1981) (3)
- Buckling of an Elastic Ring Forced by a Periodic Array of Compressive Loads (1999) (3)
- OPTIMAL SHAPE OF A HEAVY ELASTIC ROD LOADED WITH A TIP-CONCENTRATED FORCE AGAINST LATERAL BUCKLING (2009) (3)
- Variational Principles for Column Buckling (1981) (3)
- Leipholz column with shear and compressibility (1998) (3)
- The influence of shear and extensibility on the stability of a heavy rotating rod (1992) (3)
- Two compartmental fractional derivative model with general fractional derivative (2022) (3)
- Effect of Shear on Simple Buckling Problem (1993) (3)
- Corrigendum to On a nonlinear distributed order fractional differential equation [J. Math. Anal. A (2007) (2)
- Camomile autofermentation in polyethylene glycol/dextran two-phase system (2008) (2)
- Viscoelasticity of Fractional Order: New Restrictions on Constitutive Equations with Applications (2020) (2)
- ON STABILITY OF THE COLUMN WITH A STEP CHANGE IN A CROSS SECTION (2004) (2)
- Non-linear vibration of an extensible elastic beam (1994) (2)
- Variational principles with fractional derivatives (2019) (2)
- Stability of Pflüger's column with imperfections (1987) (2)
- A fractional nonlocal elastic model for lattice wave analysis (2022) (2)
- Buckling of a compressible elastic ring (1998) (2)
- A variational principle for a radiation problem (1983) (2)
- A variational principle for a non-linear diffusion problem ☆ (1985) (2)
- Noether’s theorem for variational problems of Herglotz type with real and complex order fractional derivatives (2021) (2)
- On the rotating rod with shear and extensibility (1997) (2)
- A generalized variational formulation (1974) (2)
- ON THE APPLICATION OF FRACTIONAL CALCULUS IN MECHANICS (2007) (2)
- A New Time Invariant for Heat Conduction with Finite Wave Speed (1980) (2)
- A note on the rotating chain problem (1985) (2)
- An initial value problem arising in mechanics (2012) (2)
- An extremum variational principle and error estimate procedure for qIV = f(q, x) (1982) (2)
- Stability of a pipe through which a string is pulled (2000) (2)
- Complex fractional Zener model of wave propagation in ℝ (2018) (2)
- An extremum variational principle and error estimate procedure for radial flow of a viscous fluid between porous discs (1987) (2)
- Bifurcation analysis of the rotating axially compressed nano‐rod with imperfections (2019) (1)
- A Variational Principle for a Diffusion Problem (1982) (1)
- Contribution to error estimate (1982) (1)
- Optimal shape of the rotating nano rod (2021) (1)
- Optimal Shape and First Integrals for Inverted Compressed Column (2020) (1)
- Pflüger rod with shear and extensibility (1994) (1)
- Vibrations of a finite length beam with an axially movable load (1996) (1)
- A Variational Principle for Equation of Hertz's Theory of Impact (2000) (1)
- Slow viscous flows over a flat plate with mixed boundary conditions (1977) (1)
- Restrictions on parameters in distributed order fractional linear constitutive equations (2022) (1)
- More on the Problem and the Solution of the Optimal Shape of a Javelin (2007) (1)
- Instability by Extension of an Extensible Elastic Column (1992) (1)
- On the lateral vibrations of an elastic rod with varying compressive force (2004) (1)
- Forced Oscillations of a Single Degree of Freedom System with Fractional Dissipation (2011) (1)
- An extremum variational principle for some non-linear diffusion problems (1990) (1)
- Optimal Control of Dynamically Controllable Motions: an Example (1978) (1)
- The brachistochrone for a material point with arbitrary initial velocity (1978) (1)
- A THEORY OF LINEAR DIFFERENTIAL EQUATIONS WITH FRACTIONAL DERIVATIVES (2012) (1)
- Pressure Between Two Bodies in Contact (2000) (1)
- On the lateral deformation of an elastic beam with step change in cross-section and arbitrary transversal loading (2007) (1)
- Variational principle and error bounds for a problem in combustion theory (1985) (1)
- Fractional Diffusion‐Wave Equations (2014) (1)
- A Method for Prediction of Femoral Component of Hip Prosthesis Durability due to Aseptic Loosening by Using Coffin/Manson Fatigue Model (2018) (1)
- A Least Square Solution and Error Estimate for some Vibration Problems (1985) (1)
- Vibrations with Fractional Dissipation (2014) (1)
- Generalized solutions of an equation with fractional derivatives (2009) (1)
- Fractional Heat Conduction Equations (2014) (1)
- Extremum variational principle for an inextensible rotating rod (1992) (1)
- Erratum to: A new approach to the compartmental analysis in pharmacokinetics: fractional time evolution of diclofenac (2010) (1)
- A note on a variational principle for simple elastic materials (1977) (1)
- Wave equation involving fractional derivatives of real and complex fractional order (2019) (1)
- Geometry of motion of a single elastic body point (1978) (0)
- Slip-plane and slip-cylinder theorems for slow viscous flow (1977) (0)
- Wave equation for generalized Zener model containing complex order fractional derivatives (2017) (0)
- Estimates of the maximum deflection for a buckled column (1983) (0)
- Forced oscillations of a body attached to a solid or fluid-like viscoelastic rod of fractional type (2012) (0)
- Shape optimization against buckling of micro- and nano-rods (2012) (0)
- The Elements of Analytical Mechanics Expressed Using the Lagrange-D’Alembert Differential Variational Principle (2004) (0)
- Basic Definitions and Properties of Fractional Integrals and Derivatives (2014) (0)
- Cauchy problems for some classes of linear fractional differential equations (2014) (0)
- Thanks to our reviewers (2020) (0)
- Moving point load on a beam with viscoelastic foundation containing fractional derivatives of complex order (2022) (0)
- Theoretical optimal shape of a longest reach cantilever (2021) (0)
- A Field Method Suitable for Application in Conservative and Nonconservative Mechanics (2004) (0)
- The tallest column problem: New first integrals and estimates (2019) (0)
- An initial value problem arising in mechanics (2013) (0)
- Some optimization problems for elastic bodies (1980) (0)
- A Variational Principle for an Isothermal Chemical Reaction (1989) (0)
- Forced Oscillations of a System: Viscoelastic Rod and Body (2014) (0)
- Complex order fractional derivatives in viscoelasticity (2016) (0)
- On the generalized Clausen problem (2022) (0)
- Vibrations of an elastic rod on a viscoelastic foundation of complex fractional Kelvin–Voigt type (2015) (0)
- A variational principle motivated by the optimal rod theory (2000) (0)
- Original Article Beck's rod with shear, compressibility and pulsating force (1996) (0)
- The dynamic method of stability analysis (1997) (0)
- The Cattaneo type space-time fractional heat conduction equation (2011) (0)
- Fractional two-compartmental model for articaine serum levels (2015) (0)
- A note on the infinitesimal inviscid-like motions of viscous fluids (1977) (0)
- Lateral Vibrations and Stability of Viscoelastic Rods (2014) (0)
- Solutions for Some Problems of Elasticity Theory (2000) (0)
- Plane State of Strain and Plane State of Stress (2000) (0)
- The energy method for stability analysis (1997) (0)
- Waves in Viscoelastic Materials of Fractional‐Order Type (2014) (0)
- Two optimal control problems of finite elasticity theory (1979) (0)
- Complementary variational principles with fractional derivatives (2011) (0)
- The adjacent equilibrium method for stability analysis (1997) (0)
- Impact of Viscoelastic Body Against the Rigid Wall (2014) (0)
- Elementary Theory of Plates (2000) (0)
- Variational Principles for Elastic Rods and Columns (2004) (0)
- Book Review: Asymptotic Methods in the Buckling Theory of Elastic Shells. by Petr E. Tovstik and Andrei L. Smirnov (2004) (0)
- Restrictions Following from the Thermodynamics for Fractional Derivative Models of a Viscoelastic Body (2014) (0)
- The Hamilton-Jacobi Method of Integration of Canonical Equations (2004) (0)
- Negativism : a nonlinear version (1993) (0)
- WEAK SOLUTIONS TO DIFFERENTIAL EQUATIONS WITH LEFT AND RIGHT FRACTIONAL DERIVATIVES DEFINED ON R (2009) (0)
- Wave equation in fractional Zener-type viscoelastic media involving Caputo–Fabrizio fractional derivatives (2018) (0)
- Mechanics, integrability, and control (2013) (0)
- Stability Bounds and Optimal Shape of Elastic Rods (2002) (0)
- Fractional two-compartmental model for articaine serum levels (2016) (0)
- Forced oscillations of a system: body and light fractional viscoelastic rod (2012) (0)
- Stochastic Zener model with complex order fractional derivatives (2022) (0)
- Erratum to: A new approach to the compartmental analysis in pharmacokinetics: fractional time evolution of diclofenac (2010) (0)
- Noether’s theorem for Herglotz type variational problems utilizing complex fractional derivatives (2021) (0)
- Internal Variable Theory in Viscoelasticity: Fractional Generalizations and Thermodynamical Restrictions (2022) (0)
- The Influence of Temperature on Rheological Properties of Three Root Canal Sealers (2022) (0)
- Phase diagrams modified by interfacial penalties (2007) (0)
- Variable End Points, Natural Boundary Conditions, Bolza Problems (2004) (0)
- Energy Method in Elasticity Theory (2000) (0)
- ON THE BENDING AND STABILITY PROBLEMS FOR SHAPE MEMORY MATERIALS (2000) (0)
- The Hamiltonian Variational Principle and Its Applications (2004) (0)
- On a constitutive equation of heat conduction with fractional derivatives of complex order (2017) (0)
- Transformation Properties of the Lagrange— D’Alembert Variational Principle: Conservation Laws of Nonconservative Dynamical Systems (2004) (0)
- On the compressed elastic rod with rotary inertia on a viscoelastic (2006) (0)
- Nano- and viscoelastic Beck’s column on elastic foundation (2015) (0)
- An application of fractional calculus to growth mechanics (2010) (0)
- Euler–Lagrange Equations for Lagrangians Containing Complex-order Fractional Derivatives (2016) (0)
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