Edit Profile Panayotounakos, Dimitrios E. Compute Distance To: Compute 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) Publications by Year all cited Publications top 5 cited Publications 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 1078.34505Panayotounakos, Dimitrios E. 16 2005 Exact analytic solutions of unsolvable classes of first- and second-order nonlinear ODEs (Part II: Emden–Fowler and relative equations). Zbl 1080.34501Panayotounakos, Dimitrios E.; Sotiropoulos, Nikos 9 2005 Exact analytic solutions of the Abel, Emden-Fowler and generalized Emden-Fowler nonlinear ODEs. Zbl 1114.34002Panayotounakos, Dimitrios E.; Kravvaritis, Dimitrios C. 6 2006 Exact parametric analytic solutions of the elastica ODEs for bars including effects of the transverse deformation. Zbl 1348.74134Sotiropoulou, Anastasia B.; Panayotounakos, Dimitrios E. 5 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 1238.34002Panayotounakos, Dimitrios E.; Zarmpoutis, Theodoros I. 4 2011 Exact analytic solutions for the damped Duffing nonlinear oscillator. Zbl 1119.34002Panayotounakos, Dimitrios E.; Theotokoglou, Efstathios E.; Markakis, Michalis P. 4 2006 On the lack of analytic solutions of the Van der Pol oscillator. Zbl 1038.34008Panayotounakos, D. E.; Panayotounakou, N. D.; Vakakis, A. F. 4 2003 Analytic solutions for nonlinear differential equations describing the elastica of straight bars: Theory. Zbl 0655.73028Panayotounakos, D. E.; Theocaris, P. S. 4 1988 Exact solution for an approximate differential equation of a straight bar under conditions of a nonlinear equilibrium. Zbl 0601.73049Panayotounakos, D. E.; Theocaris, P. S. 4 1986 Exact analytic solutions of nonlinear boundary value problems in fluid mechanics (Blasius equations). Zbl 1067.76031Panayotounakos, D. E.; Sotiropoulos, N. B.; Sotiropoulou, A. B.; Panayotounakou, N. D. 3 2005 Exact solution of the nonlinear differential equation concerning the elastic line of a straight rod due to terminal loading. Zbl 0498.73042Theocaris, P. S.; Panayotounakos, D. E. 3 1982 The dynamically loaded circular beam on an elastic foundation. Zbl 0436.73069Panayotounakos, D. E.; Theocaris, P. S. 3 1980 On the reduction and the existence of approximate analytic solutions of some basic nonlinear ODEs in mathematical physics and nonlinear mechanics. Zbl 1070.34004Panayotounakos, Dimitrios E.; Sotiropoulos, Nikolaos V. 2 2004 Ad hoc closed form solutions of the two-dimensional nonlinear steady small perturbation equation in fluid mechanics. Zbl 0837.76038Panayotounakos, D. E.; Markakis, M. 2 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 0715.73056Panayotounakos, D. E.; Markakis, M. 2 1990 Large deflections of buckled bars under distributed axial load. Zbl 0676.73016Panayotounakos, D. E.; Theocaris, P. S. 2 1988 The differential equations of uniform skew-curved bars in harmonic motion. Zbl 0537.73043Theocaris, P. S.; Panayotounakos, D. E. 2 1983 A closed form solution for the static analysis of continuous skew-curved beams. Zbl 0441.73056Panayotounakos, D. E.; Theocaris, P. S. 2 1980 Nonlinear analysis of cantilever rods due to terminal moments. Zbl 0436.73060Panayotounakos, D. E.; Theocaris, P. S. 2 1980 Flexibility matrix for skew-curved beams. Zbl 0408.73042Panayotounakos, D. E.; Theocaris, P. S. 2 1979 On the construction of the exact analytic or parametric closed-form solutions of standing waves concerning the cubic nonlinear Schrödinger equation. Zbl 1293.35303Panayotounakos, D. E.; Zarmpoutis, T. I.; Siettos, C. I. 1 2012 A new mathematical construction of the general nonlinear ODEs of motion in rigid body dynamics (Euler’s equations). Zbl 1281.70009Panayotounakos, Dimitrios E.; Rizou, Ioanna; Theotokoglou, Efstathios E. 1 2011 Exact analytic solutions of the nonlinear partial differential equations governing rigid perfect plasticity problems. Zbl 1078.74007Stampouloglou, I. H.; Theotokoglou, E. E.; Panayotounakos, D. E. 1 2005 Ad hoc exact solutions for the stress and velocity fields in rigid, perfectly plastic materials under plane-strain conditions. Zbl 0898.73027Panayotounakos, D. E. 1 1996 Analytical solutions of mixed mode plane strain crack problems in elastic perfectly plastic materials. Zbl 0755.73076Panayotounakos, D. E.; Markakis, M. 1 1991 On the decoupling and solution of the Euler kinematic equations governing the motion of a gyro. Zbl 0711.70008Panayotounakos, D. E.; Theocaris, P. S. 1 1990 On the decoupling and the solutions of the Euler dynamic equations governing the motion of a gyroscope. Zbl 0736.70003Panayotounakos, D. E.; Theocaris, P. S. 1 1990 Closed-form solutions of the nonlinear partial differential equations governing the stress-field in a rigid, perfectly-plastic body. Zbl 0686.73029Panayotounakos, Dimitrios E.; Zisis, Basilios 1 1989 A closed-form solution for the stress field in a rigid-perfectly plastic material under plane-strain conditions. Zbl 0681.73021Panayotounakos, D. E.; Andrianopoulos, N. P. 1 1989 Nonlinear and buckling analysis of continuous bars lying on rigid supports. Zbl 0583.73045Panayotounakos, D. E.; Theocaris, P. S. 1 1986 On the free motions of a uniform elastic helicoidal bar. Zbl 0587.73076Panayotounakos, D. E. 1 1985 Theorem on decoupling of higher-order linear ordinary differential systems with variable coefficients. Zbl 0529.34016Theocaris, P. S.; Panayotounakos, D. E. 1 1983 Forced motions of cantilever planar-curved bars considered as discrete systems by the flexibility method. Zbl 0525.73074Panayotounakos, D. E. 1 1983 Forced harmonic vibration of a cantilever skew-curved beam considered as a discrete system by the flexibility method. Zbl 0537.73042Panayotounakos, D. E.; Theocaris, P. S. 1 1982 Large elastic deformations in thin cantilever rods due to concentrated loadings. Zbl 0513.73057Panayotounakos, D. E.; Theocaris, P. S. 1 1981 Nonlinear and buckling analysis in planar curved bars. Zbl 0471.73048Panayotounakos, D. E.; Theocaris, P. S. 1 1981 Nonlinear elastic analysis of planar curved beams loaded by co-planar concentrated forces. Zbl 0467.73064Panayotounakos, D. E.; Theocaris, P. S. 1 1981 A closed form solution for the static analysis of skew-curved beams. Zbl 0474.73062Panayotounakos, D. E.; Theocaris, P. S. 1 1980 Non-linear elastic analysis of circular beams loaded by co-planar concentrated forces. Zbl 0454.73040Panayotounakos, D. E.; Theocaris, P. S. 1 1980 On the construction of the exact analytic or parametric closed-form solutions of standing waves concerning the cubic nonlinear Schrödinger equation. Zbl 1293.35303Panayotounakos, D. E.; Zarmpoutis, T. I.; Siettos, C. I. 1 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 1238.34002Panayotounakos, Dimitrios E.; Zarmpoutis, Theodoros I. 4 2011 A new mathematical construction of the general nonlinear ODEs of motion in rigid body dynamics (Euler’s equations). Zbl 1281.70009Panayotounakos, Dimitrios E.; Rizou, Ioanna; Theotokoglou, Efstathios E. 1 2011 Exact analytic solutions of the Abel, Emden-Fowler and generalized Emden-Fowler nonlinear ODEs. Zbl 1114.34002Panayotounakos, Dimitrios E.; Kravvaritis, Dimitrios C. 6 2006 Exact analytic solutions for the damped Duffing nonlinear oscillator. Zbl 1119.34002Panayotounakos, Dimitrios E.; Theotokoglou, Efstathios E.; Markakis, Michalis P. 4 2006 Exact analytic solutions of unsolvable classes of first and second order nonlinear ODEs I: Abel’s equations. Zbl 1078.34505Panayotounakos, Dimitrios E. 16 2005 Exact analytic solutions of unsolvable classes of first- and second-order nonlinear ODEs (Part II: Emden–Fowler and relative equations). Zbl 1080.34501Panayotounakos, Dimitrios E.; Sotiropoulos, Nikos 9 2005 Exact analytic solutions of nonlinear boundary value problems in fluid mechanics (Blasius equations). Zbl 1067.76031Panayotounakos, D. E.; Sotiropoulos, N. B.; Sotiropoulou, A. B.; Panayotounakou, N. D. 3 2005 Exact analytic solutions of the nonlinear partial differential equations governing rigid perfect plasticity problems. Zbl 1078.74007Stampouloglou, I. H.; Theotokoglou, E. E.; Panayotounakos, D. E. 1 2005 Exact parametric analytic solutions of the elastica ODEs for bars including effects of the transverse deformation. Zbl 1348.74134Sotiropoulou, Anastasia B.; Panayotounakos, Dimitrios E. 5 2004 On the reduction and the existence of approximate analytic solutions of some basic nonlinear ODEs in mathematical physics and nonlinear mechanics. Zbl 1070.34004Panayotounakos, Dimitrios E.; Sotiropoulos, Nikolaos V. 2 2004 On the lack of analytic solutions of the Van der Pol oscillator. Zbl 1038.34008Panayotounakos, D. E.; Panayotounakou, N. D.; Vakakis, A. F. 4 2003 Ad hoc exact solutions for the stress and velocity fields in rigid, perfectly plastic materials under plane-strain conditions. Zbl 0898.73027Panayotounakos, D. E. 1 1996 Ad hoc closed form solutions of the two-dimensional nonlinear steady small perturbation equation in fluid mechanics. Zbl 0837.76038Panayotounakos, D. E.; Markakis, M. 2 1995 Analytical solutions of mixed mode plane strain crack problems in elastic perfectly plastic materials. Zbl 0755.73076Panayotounakos, D. E.; Markakis, M. 1 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 0715.73056Panayotounakos, D. E.; Markakis, M. 2 1990 On the decoupling and solution of the Euler kinematic equations governing the motion of a gyro. Zbl 0711.70008Panayotounakos, D. E.; Theocaris, P. S. 1 1990 On the decoupling and the solutions of the Euler dynamic equations governing the motion of a gyroscope. Zbl 0736.70003Panayotounakos, D. E.; Theocaris, P. S. 1 1990 Closed-form solutions of the nonlinear partial differential equations governing the stress-field in a rigid, perfectly-plastic body. Zbl 0686.73029Panayotounakos, Dimitrios E.; Zisis, Basilios 1 1989 A closed-form solution for the stress field in a rigid-perfectly plastic material under plane-strain conditions. Zbl 0681.73021Panayotounakos, D. E.; Andrianopoulos, N. P. 1 1989 Analytic solutions for nonlinear differential equations describing the elastica of straight bars: Theory. Zbl 0655.73028Panayotounakos, D. E.; Theocaris, P. S. 4 1988 Large deflections of buckled bars under distributed axial load. Zbl 0676.73016Panayotounakos, D. E.; Theocaris, P. S. 2 1988 Exact solution for an approximate differential equation of a straight bar under conditions of a nonlinear equilibrium. Zbl 0601.73049Panayotounakos, D. E.; Theocaris, P. S. 4 1986 Nonlinear and buckling analysis of continuous bars lying on rigid supports. Zbl 0583.73045Panayotounakos, D. E.; Theocaris, P. S. 1 1986 On the free motions of a uniform elastic helicoidal bar. Zbl 0587.73076Panayotounakos, D. E. 1 1985 The differential equations of uniform skew-curved bars in harmonic motion. Zbl 0537.73043Theocaris, P. S.; Panayotounakos, D. E. 2 1983 Theorem on decoupling of higher-order linear ordinary differential systems with variable coefficients. Zbl 0529.34016Theocaris, P. S.; Panayotounakos, D. E. 1 1983 Forced motions of cantilever planar-curved bars considered as discrete systems by the flexibility method. Zbl 0525.73074Panayotounakos, D. E. 1 1983 Exact solution of the nonlinear differential equation concerning the elastic line of a straight rod due to terminal loading. Zbl 0498.73042Theocaris, P. S.; Panayotounakos, D. E. 3 1982 Forced harmonic vibration of a cantilever skew-curved beam considered as a discrete system by the flexibility method. Zbl 0537.73042Panayotounakos, D. E.; Theocaris, P. S. 1 1982 Large elastic deformations in thin cantilever rods due to concentrated loadings. Zbl 0513.73057Panayotounakos, D. E.; Theocaris, P. S. 1 1981 Nonlinear and buckling analysis in planar curved bars. Zbl 0471.73048Panayotounakos, D. E.; Theocaris, P. S. 1 1981 Nonlinear elastic analysis of planar curved beams loaded by co-planar concentrated forces. Zbl 0467.73064Panayotounakos, D. E.; Theocaris, P. S. 1 1981 The dynamically loaded circular beam on an elastic foundation. Zbl 0436.73069Panayotounakos, D. E.; Theocaris, P. S. 3 1980 A closed form solution for the static analysis of continuous skew-curved beams. Zbl 0441.73056Panayotounakos, D. E.; Theocaris, P. S. 2 1980 Nonlinear analysis of cantilever rods due to terminal moments. Zbl 0436.73060Panayotounakos, D. E.; Theocaris, P. S. 2 1980 A closed form solution for the static analysis of skew-curved beams. Zbl 0474.73062Panayotounakos, D. E.; Theocaris, P. S. 1 1980 Non-linear elastic analysis of circular beams loaded by co-planar concentrated forces. Zbl 0454.73040Panayotounakos, D. E.; Theocaris, P. S. 1 1980 Flexibility matrix for skew-curved beams. Zbl 0408.73042Panayotounakos, D. E.; Theocaris, P. S. 2 1979 all cited Publications top 5 cited Publications 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) Citations by Year