# zbMATH — the first resource for mathematics

## Panayotounakos, Dimitrios E.

Compute Distance To:
 Author ID: panayotounakos.dimitrios-e Published as: Panayotounakos, D.; Panayotounakos, D. E.; Panayotounakos, Dimitrios E.
 Documents Indexed: 72 Publications since 1979
all top 5

#### Co-Authors

 10 single-authored 25 Theocaris, Pericles S. 6 Markakis, Michalis P. 5 Theotokoglou, Efstathios E. 4 Sotiropoulos, Nikos B. 4 Sotiropoulou, Anastasia B. 3 Andrianopoulos, N. P. 3 Andriotaki, Petra N. 3 Panayotounakou, N. D. 3 Younis, C. J. 2 Anastasselou, Eleni G. 2 Zarmpoutis, Theodore I. 1 Boulougouris, V. C. 1 Dafalias, Yannis F. 1 Drikakis, Dimitris 1 Kostogiannis, Anastasios G. 1 Kravvaritis, Dimitrios C. 1 Manios, Manos 1 Papandonopoulos, G. 1 Pitouras, Zacharias 1 Prassianakis, J. N. 1 Rizou, Ioanna 1 Siettos, Constantinos I. 1 Sotiropoulos, Nikolaos V. 1 Sotiropoulos, Panayotis 1 Sotoropoulou, A. 1 Spyropoulos, C. P. 1 Stampouloglou, Ioannis H. 1 Vakakis, Alexander F. 1 Zafeiropoulos, K. P. 1 Zarmpoutis, Theodoros I. 1 Zisis, Basilios
all top 5

#### Serials

 11 International Journal of Non-Linear Mechanics 6 Acta Mechanica 5 International Journal of Solids and Structures 4 Computers and Structures 4 Ingenieur-Archiv 4 Industrial Mathematics 4 Mathematical Problems in Engineering 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 International Journal of Plasticity 2 Journal of Applied Mechanics 2 Journal of the Franklin Institute 2 Journal of Mathematical Physics 2 Applied Mathematics and Computation 2 Applied Mathematics Letters 1 AIAA Journal 1 Journal of Sound and Vibration 1 Quarterly Journal of Mechanics and Applied Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Meccanica 1 Rozprawy Inzynierskie 1 Solid Mechanics Archives. Solid Mechanics Division, University of Waterloo 1 Applied Mathematical Modelling 1 Journal of Elasticity 1 SIAM Journal on Applied Mathematics 1 Archive of Applied Mechanics 1 Analele Universităţii din Craiova. Seria Matematică Informatică 1 Mathematics and Mechanics of Solids 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Nonlinear Analysis. Real World Applications 1 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 Journal de Mécanique Appliquée
all top 5

#### Fields

 48 Mechanics of deformable solids (74-XX) 19 Ordinary differential equations (34-XX) 13 Partial differential equations (35-XX) 8 Fluid mechanics (76-XX) 6 Mechanics of particles and systems (70-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH

39 Publications have been cited 100 times in 59 Documents Cited by Year
Exact analytic solutions of unsolvable classes of first and second order nonlinear ODEs I: Abel’s equations. Zbl 1078.34505
Panayotounakos, Dimitrios E.
2005
Exact analytic solutions of unsolvable classes of first- and second-order nonlinear ODEs (Part II: Emden–Fowler and relative equations). Zbl 1080.34501
Panayotounakos, Dimitrios E.; Sotiropoulos, Nikos
2005
Exact analytic solutions of the Abel, Emden-Fowler and generalized Emden-Fowler nonlinear ODEs. Zbl 1114.34002
Panayotounakos, Dimitrios E.; Kravvaritis, Dimitrios C.
2006
Exact parametric analytic solutions of the elastica ODEs for bars including effects of the transverse deformation. Zbl 1348.74134
Sotiropoulou, Anastasia B.; Panayotounakos, Dimitrios E.
2004
Construction of exact parametric or closed form solutions of some unsolvable classes of nonlinear ODEs (Abel’s nonlinear ODEs of the first kind and relative degenerate equations). Zbl 1238.34002
Panayotounakos, Dimitrios E.; Zarmpoutis, Theodoros I.
2011
Exact analytic solutions for the damped Duffing nonlinear oscillator. Zbl 1119.34002
Panayotounakos, Dimitrios E.; Theotokoglou, Efstathios E.; Markakis, Michalis P.
2006
On the lack of analytic solutions of the Van der Pol oscillator. Zbl 1038.34008
Panayotounakos, D. E.; Panayotounakou, N. D.; Vakakis, A. F.
2003
Analytic solutions for nonlinear differential equations describing the elastica of straight bars: Theory. Zbl 0655.73028
Panayotounakos, D. E.; Theocaris, P. S.
1988
Exact solution for an approximate differential equation of a straight bar under conditions of a nonlinear equilibrium. Zbl 0601.73049
Panayotounakos, D. E.; Theocaris, P. S.
1986
Exact analytic solutions of nonlinear boundary value problems in fluid mechanics (Blasius equations). Zbl 1067.76031
Panayotounakos, D. E.; Sotiropoulos, N. B.; Sotiropoulou, A. B.; Panayotounakou, N. D.
2005
Exact solution of the nonlinear differential equation concerning the elastic line of a straight rod due to terminal loading. Zbl 0498.73042
Theocaris, P. S.; Panayotounakos, D. E.
1982
The dynamically loaded circular beam on an elastic foundation. Zbl 0436.73069
Panayotounakos, D. E.; Theocaris, P. S.
1980
On the reduction and the existence of approximate analytic solutions of some basic nonlinear ODEs in mathematical physics and nonlinear mechanics. Zbl 1070.34004
Panayotounakos, Dimitrios E.; Sotiropoulos, Nikolaos V.
2004
Ad hoc closed form solutions of the two-dimensional nonlinear steady small perturbation equation in fluid mechanics. Zbl 0837.76038
Panayotounakos, D. E.; Markakis, M.
1995
Closed form solutions of the differential equations governing the plastic fracture field in a power-law hardening material with low strain- hardening exponent. Zbl 0715.73056
Panayotounakos, D. E.; Markakis, M.
1990
Large deflections of buckled bars under distributed axial load. Zbl 0676.73016
Panayotounakos, D. E.; Theocaris, P. S.
1988
The differential equations of uniform skew-curved bars in harmonic motion. Zbl 0537.73043
Theocaris, P. S.; Panayotounakos, D. E.
1983
A closed form solution for the static analysis of continuous skew-curved beams. Zbl 0441.73056
Panayotounakos, D. E.; Theocaris, P. S.
1980
Nonlinear analysis of cantilever rods due to terminal moments. Zbl 0436.73060
Panayotounakos, D. E.; Theocaris, P. S.
1980
Flexibility matrix for skew-curved beams. Zbl 0408.73042
Panayotounakos, D. E.; Theocaris, P. S.
1979
On the construction of the exact analytic or parametric closed-form solutions of standing waves concerning the cubic nonlinear Schrödinger equation. Zbl 1293.35303
Panayotounakos, D. E.; Zarmpoutis, T. I.; Siettos, C. I.
2012
A new mathematical construction of the general nonlinear ODEs of motion in rigid body dynamics (Euler’s equations). Zbl 1281.70009
Panayotounakos, Dimitrios E.; Rizou, Ioanna; Theotokoglou, Efstathios E.
2011
Exact analytic solutions of the nonlinear partial differential equations governing rigid perfect plasticity problems. Zbl 1078.74007
Stampouloglou, I. H.; Theotokoglou, E. E.; Panayotounakos, D. E.
2005
Ad hoc exact solutions for the stress and velocity fields in rigid, perfectly plastic materials under plane-strain conditions. Zbl 0898.73027
Panayotounakos, D. E.
1996
Analytical solutions of mixed mode plane strain crack problems in elastic perfectly plastic materials. Zbl 0755.73076
Panayotounakos, D. E.; Markakis, M.
1991
On the decoupling and solution of the Euler kinematic equations governing the motion of a gyro. Zbl 0711.70008
Panayotounakos, D. E.; Theocaris, P. S.
1990
On the decoupling and the solutions of the Euler dynamic equations governing the motion of a gyroscope. Zbl 0736.70003
Panayotounakos, D. E.; Theocaris, P. S.
1990
Closed-form solutions of the nonlinear partial differential equations governing the stress-field in a rigid, perfectly-plastic body. Zbl 0686.73029
Panayotounakos, Dimitrios E.; Zisis, Basilios
1989
A closed-form solution for the stress field in a rigid-perfectly plastic material under plane-strain conditions. Zbl 0681.73021
Panayotounakos, D. E.; Andrianopoulos, N. P.
1989
Nonlinear and buckling analysis of continuous bars lying on rigid supports. Zbl 0583.73045
Panayotounakos, D. E.; Theocaris, P. S.
1986
On the free motions of a uniform elastic helicoidal bar. Zbl 0587.73076
Panayotounakos, D. E.
1985
Theorem on decoupling of higher-order linear ordinary differential systems with variable coefficients. Zbl 0529.34016
Theocaris, P. S.; Panayotounakos, D. E.
1983
Forced motions of cantilever planar-curved bars considered as discrete systems by the flexibility method. Zbl 0525.73074
Panayotounakos, D. E.
1983
Forced harmonic vibration of a cantilever skew-curved beam considered as a discrete system by the flexibility method. Zbl 0537.73042
Panayotounakos, D. E.; Theocaris, P. S.
1982
Large elastic deformations in thin cantilever rods due to concentrated loadings. Zbl 0513.73057
Panayotounakos, D. E.; Theocaris, P. S.
1981
Nonlinear and buckling analysis in planar curved bars. Zbl 0471.73048
Panayotounakos, D. E.; Theocaris, P. S.
1981
Nonlinear elastic analysis of planar curved beams loaded by co-planar concentrated forces. Zbl 0467.73064
Panayotounakos, D. E.; Theocaris, P. S.
1981
A closed form solution for the static analysis of skew-curved beams. Zbl 0474.73062
Panayotounakos, D. E.; Theocaris, P. S.
1980
Non-linear elastic analysis of circular beams loaded by co-planar concentrated forces. Zbl 0454.73040
Panayotounakos, D. E.; Theocaris, P. S.
1980
On the construction of the exact analytic or parametric closed-form solutions of standing waves concerning the cubic nonlinear Schrödinger equation. Zbl 1293.35303
Panayotounakos, D. E.; Zarmpoutis, T. I.; Siettos, C. I.
2012
Construction of exact parametric or closed form solutions of some unsolvable classes of nonlinear ODEs (Abel’s nonlinear ODEs of the first kind and relative degenerate equations). Zbl 1238.34002
Panayotounakos, Dimitrios E.; Zarmpoutis, Theodoros I.
2011
A new mathematical construction of the general nonlinear ODEs of motion in rigid body dynamics (Euler’s equations). Zbl 1281.70009
Panayotounakos, Dimitrios E.; Rizou, Ioanna; Theotokoglou, Efstathios E.
2011
Exact analytic solutions of the Abel, Emden-Fowler and generalized Emden-Fowler nonlinear ODEs. Zbl 1114.34002
Panayotounakos, Dimitrios E.; Kravvaritis, Dimitrios C.
2006
Exact analytic solutions for the damped Duffing nonlinear oscillator. Zbl 1119.34002
Panayotounakos, Dimitrios E.; Theotokoglou, Efstathios E.; Markakis, Michalis P.
2006
Exact analytic solutions of unsolvable classes of first and second order nonlinear ODEs I: Abel’s equations. Zbl 1078.34505
Panayotounakos, Dimitrios E.
2005
Exact analytic solutions of unsolvable classes of first- and second-order nonlinear ODEs (Part II: Emden–Fowler and relative equations). Zbl 1080.34501
Panayotounakos, Dimitrios E.; Sotiropoulos, Nikos
2005
Exact analytic solutions of nonlinear boundary value problems in fluid mechanics (Blasius equations). Zbl 1067.76031
Panayotounakos, D. E.; Sotiropoulos, N. B.; Sotiropoulou, A. B.; Panayotounakou, N. D.
2005
Exact analytic solutions of the nonlinear partial differential equations governing rigid perfect plasticity problems. Zbl 1078.74007
Stampouloglou, I. H.; Theotokoglou, E. E.; Panayotounakos, D. E.
2005
Exact parametric analytic solutions of the elastica ODEs for bars including effects of the transverse deformation. Zbl 1348.74134
Sotiropoulou, Anastasia B.; Panayotounakos, Dimitrios E.
2004
On the reduction and the existence of approximate analytic solutions of some basic nonlinear ODEs in mathematical physics and nonlinear mechanics. Zbl 1070.34004
Panayotounakos, Dimitrios E.; Sotiropoulos, Nikolaos V.
2004
On the lack of analytic solutions of the Van der Pol oscillator. Zbl 1038.34008
Panayotounakos, D. E.; Panayotounakou, N. D.; Vakakis, A. F.
2003
Ad hoc exact solutions for the stress and velocity fields in rigid, perfectly plastic materials under plane-strain conditions. Zbl 0898.73027
Panayotounakos, D. E.
1996
Ad hoc closed form solutions of the two-dimensional nonlinear steady small perturbation equation in fluid mechanics. Zbl 0837.76038
Panayotounakos, D. E.; Markakis, M.
1995
Analytical solutions of mixed mode plane strain crack problems in elastic perfectly plastic materials. Zbl 0755.73076
Panayotounakos, D. E.; Markakis, M.
1991
Closed form solutions of the differential equations governing the plastic fracture field in a power-law hardening material with low strain- hardening exponent. Zbl 0715.73056
Panayotounakos, D. E.; Markakis, M.
1990
On the decoupling and solution of the Euler kinematic equations governing the motion of a gyro. Zbl 0711.70008
Panayotounakos, D. E.; Theocaris, P. S.
1990
On the decoupling and the solutions of the Euler dynamic equations governing the motion of a gyroscope. Zbl 0736.70003
Panayotounakos, D. E.; Theocaris, P. S.
1990
Closed-form solutions of the nonlinear partial differential equations governing the stress-field in a rigid, perfectly-plastic body. Zbl 0686.73029
Panayotounakos, Dimitrios E.; Zisis, Basilios
1989
A closed-form solution for the stress field in a rigid-perfectly plastic material under plane-strain conditions. Zbl 0681.73021
Panayotounakos, D. E.; Andrianopoulos, N. P.
1989
Analytic solutions for nonlinear differential equations describing the elastica of straight bars: Theory. Zbl 0655.73028
Panayotounakos, D. E.; Theocaris, P. S.
1988
Large deflections of buckled bars under distributed axial load. Zbl 0676.73016
Panayotounakos, D. E.; Theocaris, P. S.
1988
Exact solution for an approximate differential equation of a straight bar under conditions of a nonlinear equilibrium. Zbl 0601.73049
Panayotounakos, D. E.; Theocaris, P. S.
1986
Nonlinear and buckling analysis of continuous bars lying on rigid supports. Zbl 0583.73045
Panayotounakos, D. E.; Theocaris, P. S.
1986
On the free motions of a uniform elastic helicoidal bar. Zbl 0587.73076
Panayotounakos, D. E.
1985
The differential equations of uniform skew-curved bars in harmonic motion. Zbl 0537.73043
Theocaris, P. S.; Panayotounakos, D. E.
1983
Theorem on decoupling of higher-order linear ordinary differential systems with variable coefficients. Zbl 0529.34016
Theocaris, P. S.; Panayotounakos, D. E.
1983
Forced motions of cantilever planar-curved bars considered as discrete systems by the flexibility method. Zbl 0525.73074
Panayotounakos, D. E.
1983
Exact solution of the nonlinear differential equation concerning the elastic line of a straight rod due to terminal loading. Zbl 0498.73042
Theocaris, P. S.; Panayotounakos, D. E.
1982
Forced harmonic vibration of a cantilever skew-curved beam considered as a discrete system by the flexibility method. Zbl 0537.73042
Panayotounakos, D. E.; Theocaris, P. S.
1982
Large elastic deformations in thin cantilever rods due to concentrated loadings. Zbl 0513.73057
Panayotounakos, D. E.; Theocaris, P. S.
1981
Nonlinear and buckling analysis in planar curved bars. Zbl 0471.73048
Panayotounakos, D. E.; Theocaris, P. S.
1981
Nonlinear elastic analysis of planar curved beams loaded by co-planar concentrated forces. Zbl 0467.73064
Panayotounakos, D. E.; Theocaris, P. S.
1981
The dynamically loaded circular beam on an elastic foundation. Zbl 0436.73069
Panayotounakos, D. E.; Theocaris, P. S.
1980
A closed form solution for the static analysis of continuous skew-curved beams. Zbl 0441.73056
Panayotounakos, D. E.; Theocaris, P. S.
1980
Nonlinear analysis of cantilever rods due to terminal moments. Zbl 0436.73060
Panayotounakos, D. E.; Theocaris, P. S.
1980
A closed form solution for the static analysis of skew-curved beams. Zbl 0474.73062
Panayotounakos, D. E.; Theocaris, P. S.
1980
Non-linear elastic analysis of circular beams loaded by co-planar concentrated forces. Zbl 0454.73040
Panayotounakos, D. E.; Theocaris, P. S.
1980
Flexibility matrix for skew-curved beams. Zbl 0408.73042
Panayotounakos, D. E.; Theocaris, P. S.
1979
all top 5

#### Cited by 94 Authors

 19 Panayotounakos, Dimitrios E. 5 Theotokoglou, Efstathios E. 3 Theocaris, Pericles S. 2 Anastasselou, Eleni G. 2 Cariñena, José F. 2 de Lucas, Javier 2 Levyakov, Stanislav V. 2 Mingari Scarpello, Giovanni 2 Olm, Josep M. 2 Panayotounakou, N. D. 2 Pikulin, Sergei Vladimirovich 2 Ritelli, Daniele 2 Sotiropoulos, Nikos B. 2 Sotiropoulou, Anastasia B. 2 Stampouloglou, Ioannis H. 2 Zarmpoutis, Theodoros I. 1 Abady, I. M. 1 Al-Ghamedy, H. N. 1 AlGhamdi, Saeid Aboud 1 Amer, Tarek S. 1 Andrianopoulos, N. P. 1 Andriotaki, Petra N. 1 Annin, Boris D. 1 Arakere, Nagaraj K. 1 Assanto, Gaetano 1 Ballmann, Josef 1 Bougoffa, Lazhar 1 Bouquet, Serge 1 Bravo, José Luis 1 Cai, Meixiang 1 Carpentieri, Mario 1 Chucheepsakul, Somchai 1 Conte, Robert M. 1 Deblassie, Dante 1 Deng, Jin 1 Elías-Zúñiga, Alex 1 English, Shawn A. 1 Fernandez, Manuel Jose 1 Fischer, Franz Dieter 1 Fossas, Enric 1 Gasull, Armengol 1 Ghaneai, Husain 1 Ghosh, Subail Chandra 1 Guedda, Mohammed 1 Hosseini, Mohammad-Mehdi 1 Iacono, Roberto 1 Jolly, Jean-Claude 1 Kelsch, Vincent 1 Khan, Yasir 1 Khrennikov, Andreĭ Yur’evich 1 Kravvaritis, Dimitrios C. 1 Kuznetsov, Viktor Vasilevich 1 Leach, Peter Gavin Lawrence 1 Lee, Byoung Koo 1 Lin, Xiao 1 Llibre, Jaume 1 Louvet, Fabien 1 MacNeil, J. Michael L. 1 Mancas, Stefan C. 1 Markakis, Michail P. 1 Markakis, Michalis P. 1 Martínez-Castro, J. 1 Mohiuddin, M. A. 1 Muñoz, Rafael 1 Oh, Sang Jin 1 Okhotkin, K. G. 1 Park, Kwang Kyou 1 Phungpaingam, Boonchai 1 Pourhadi, Ehsan 1 Rammerstorfer, Franz G. 1 Rizou, Ioanna 1 Ros-Oton, Xavier 1 Rosu, Haret C. 1 Roy, Avik 1 Roy, Debashis 1 Sachkov, Yuriĭ Leonidovich 1 Salinas-Hernández, Encarnación 1 Schreiner, W. H. 1 M-Seara, Tere 1 Siettos, Constantinos I. 1 Sira-Ramírez, Hebertt J. 1 Šmarda, Zdeněk 1 Smits, Robert G. 1 Smyth, Noel F. 1 Sotiropoulos, Nikolaos V. 1 Sotoropoulou, A. 1 Tsukamoto, Ichiro 1 Valls Anglés, Cláudia 1 Vergura, Silvano 1 Vlasov, A. Yu. 1 Yang, Jianping 1 Zakharov, Yuriy V. 1 Zarmpoutis, Theodore I. 1 Zivieri, Roberto
all top 5

#### Cited in 34 Serials

 6 Acta Mechanica 5 Applied Mathematics and Computation 4 Journal of Mathematical Physics 3 Ingenieur-Archiv 3 Journal of Mathematical Analysis and Applications 3 Archive of Applied Mechanics 2 Journal of the Franklin Institute 2 International Journal of Mathematics and Mathematical Sciences 2 Meccanica 2 Physica D 2 Computational Mathematics and Mathematical Physics 2 Applied Mathematical Modelling 2 Mathematical Problems in Engineering 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Plasticity 1 Mathematical Methods in the Applied Sciences 1 Journal of Computational and Applied Mathematics 1 Tokyo Journal of Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Probability Theory and Related Fields 1 Annales Mathématiques Blaise Pascal 1 Discrete and Continuous Dynamical Systems 1 Mathematics and Mechanics of Solids 1 Nonlinear Dynamics 1 Journal of Applied Mechanics and Technical Physics 1 Engineering Computations 1 Journal of Nonlinear Mathematical Physics 1 Nonlinear Analysis. Real World Applications 1 Advanced Nonlinear Studies 1 Proceedings of the Steklov Institute of Mathematics 1 Acta Mechanica Sinica 1 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 1 International Journal of Structural Stability and Dynamics
all top 5

#### Cited in 17 Fields

 25 Ordinary differential equations (34-XX) 23 Mechanics of deformable solids (74-XX) 8 Partial differential equations (35-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Fluid mechanics (76-XX) 4 Mechanics of particles and systems (70-XX) 3 Special functions (33-XX) 3 Numerical analysis (65-XX) 2 Functions of a complex variable (30-XX) 2 Probability theory and stochastic processes (60-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)