Applied Analysis and Applied Algebra

• Partial differential equations
• Applications of Lie groups to partial differential equations:  Derivation of conservation laws based on Lie-point symmetries (technique of P. Olver), Prolongation method for vector and tensor fields
• Calculus of variations: Variational symmetries, divergence symmetries, Symmetry groups and conservation laws (Noether’s theorem), Balance laws, Evolution equations-Equations of motion

Mathematical Aspects of Material Science and Continuum Mechanics

• Elasticity: Isotropic and Anisotropic, Linear and Non-linear, Compatible and Incompatible
• Generalized theories of elasticity: Gradient theories of elasticity, Non-local theory of elasticity
• Electroelasticity, Piezoelectricity: Compatible and Incompatible, Gradient electroelasticity and piezoelectricity theories

Defects in Solids: Eshelbian-Configurational Mechanics

• Cracks-Fracture Mechanics: Balance laws for cracked elastic bodies (dynamics),  Eshelby stress tensor, material (configurational) forces and vector moments, J-, M- and L-integrals, Energy release rates, Asymptotic homogenization for micro-fractured bodies (dynamics)
• Dislocations: Gauge theory of dislocations , Elastodynamics of dislocations, Eshelby stress tensor, Peach-Koehler force, Configurational forces, configurational work,  configurational vector moments, J-, M- and L-integrals, Energy release rates, Prelogarithmic energy factor, Interaction energy, self-energy, core energy

 Mathematical Modelling of Novel Materials: Quasicrystals

• Dynamics of quasicrystals: Phason dynamics, Elastodynamic model of wave-telegraph type, Equations of motio
• Dislocations in quasicrystals:  Dislocation theory (statics and dynamics), Dislocation key-formulas, Peach-Koehler force, Green functions
• Conservation and balance laws Eshelby stress tensor, configurational forces, and J-integral, Scaling flux vector, configurational work, and M-integral, Angular momentum tensor, configurational vector moments, and L-integral, Isotropy conditions
• Piezoelectricity in quasicrystals

Mathematical Physics

• Differential geometry of defects in solids
• Tensor analysis
• Conformal invariance in classical field theory

2018 (SS)

• Mathematical Methods in Physics
  Lecturer-Lehrauftrag (in German) 2+2 SWS
  Department of Physics, Darmstadt University of Technology

2011 (SS)

• Mathematical Methods in Physics
  Assistance-Seminar (in English) 2 SWS
  Department of Physics, Darmstadt University of Technology

10/10/2006-30/06/2007

• Calculus and Applications
  Lecturer- Lehrauftrag 4 SWS
  Department of Communications, Informatics and Management
  Technological Educational Institute (TEI) of Epirus (Greece)

10/10/2006-30/06/2007

• Calculus
  Lecturer- Lehrauftrag 4 SWS
  Department of Floriculture and Landscape Architecture
  Technological Educational Institute (TEI) of Epirus (Greece)

2001-2004 (WS)

• Applied Mathematics 3 SWS
  Department of Biological Applications and Technology
  University of Ioannina

1999-2001 (WS+SS)

• Calculus and Applied Mathematics 2 WSW
  EPE (Extended Programs of Education: Environment)
  Department of Chemistry, University of Ioannina

                                                                                                                  (Bold Roman: Refereed Journal Articles)

2020

Agiasofitou, E., Lazar, M.:
Electro-elastic dislocations in piezoelectric materials.
Phil. Mag. 100, 1059-1101 (2020)

Lazar, M., Agiasofitou, E., Po, G.:
Three-dimensional nonlocal anisotropic elasticity: A generalized continuum theory of Ångström-mechanics.
Acta Mechanica 231, 743-781 (2020)

2018

Agiasofitou, E., Lazar, M.:
Novel aspects in dislocation continuum theory: J-, M- and L-integrals.
41st Solid Mechanics Conference (SOLMECH 2018), 30-31 (2018)

Lazar, M., Agiasofitou, E.:
The J-, M- and L-integrals of body charges and body forces: Maxwell meets Eshelby.
Journal of Micromechanics and Molecular Physics 3, Nos. 3 & 4 (34 pages) (2018)

Lazar, M., Agiasofitou, E.:
Preface to the Special Issue: Advances in Micromechanics of Defects.
Journal of Micromechanics and Molecular Physics 3 (3,4) (2018)

Agiasofitou, E., Lazar, M.:
A new insight into the J-, M-, and L-integrals of dislocations.
Proceedings in Applied Mathematics and Mechanics, Eds.: Höffner, Lukas, PAMM 18(1), 1-2 (2018)

Lazar, M., Agiasofitou, E.:
Eshelbian dislocation mechanics: J-, M- and L- integrals of straight dislocations.
Mech. Res. Commun. 93, 89-95 (2018)

2017

Agiasofitou, E., Lazar, M.:
Micromechanics of dislocations: J-, M- and L- integrals and their fundamental relations.
Int. J. Engng. Sci. 114, 16-40 (2017)

2016

Lazar, M., Agiasofitou, E.:
Eshelbian mechanics of novel materials: Quasicrystals.
Journal of Micromechanics and Molecular Physics 1, Nos. 3 & 4, 164008 (39 pages) (2016)

2015

Lazar, M., Agiasofitou, E., Polyzos, D.:
On gradient enriched elasticity theories: A reply to “Comment on ‘On non-singular crack fields in Helmholtz type enriched elasticity theories’ ” and important theoretical aspects.
Int. J. Solids Struct. (2015)
DOI: 10.1016/j.ijsolstr.2015.02.036

2014

Lazar, M., Agiasofitou, E.:
Fundamentals in generalized elasticity and dislocation theory of quasicrystals: Green tensor, dislocation key-formulas and dislocation loops.
Phil. Mag. 94(35), 4080-4101 (2014)

Agiasofitou, E., Lazar, M.:
On the equations of motion of dislocations in quasicrystals.
Mech. Res. Commun. 5, 27-33 (2014)

Agiasofitou, E., Lazar, M.:
The elastodynamic model of wave-telegraph type for quasicrystals.
Int. J. Solids Struct. 51, 923-929 (2014)

Agiasofitou, E., Lazar, M.:
Phason dynamics in quasicrystals.
Acta Cryst. A 70, C86 (2014)

2011

Lazar, M., Agiasofitou, E.:
Screw dislocation in nonlocal anisotropic elasticity.
Int. J. Engng. Sci. 49, 1404-1414 (2011)

2010
   
Lazar, M., Agiasofitou, E., Kirchner, H.:
Generalized dynamics of moving dislocations in quasicrystals.
J. Phys.: Condens. Matter 22, 495401 (8pp) (2010)
   
Agiasofitou, E., Lazar, M.:
On the nonlinear continuum theory of dislocations: a gauge field theoretical approach.
J. Elast. 99, 163-178 (2010)

2009

Agiasofitou, E., Lazar, M.:
On the nonlinear continuum theory of dislocations,
Proceedings of the 7th EUROMECH Solid Mechanics Conference, Eds. J. Ambrosio et al., 111-112, Lisbon, September 7-11 (2009)

Agiasofitou, E., Lazar, M.:
Anisotropic gradient elasticity of grade three: conservation and balance laws,
in IUTAM Symposium on Progress in the Theory and Numerics of Configurational Mechanics, IUTAM Bookseries Vol. 17, Ed.: P. Steinmann, pp. 179191, Springer Science+ Business Media B.V. (2009)

Agiasofitou, E., Lazar, M.:
Conservation and balance laws in linear elasticity of grade three.
J.  Elast. 94, 69-85 (2009)

2008

Dascalu, C., Bilbie, G., Agiasofitou, E.K.:
Damage and size effects in elastic solids: A homogenization approach.
Int. J. Solids Struct. 45, 409-430 (2008)

2007

Agiasofitou, E.K., Dascalu, C.:
Material forces in microfractured bodies.
Arch. Appl.  Mech. 77, 75-84 (2007)

2006

Dascalu, C., Agiasofitou, E.K., Bilbie, G.:
Multiscale modeling of configurational forces in microfractured bodies.
Proceedings of the 6th European Solid Mechanics Conference, CD-Rom (2pp), Budapest, 28 August-1 September (2006)

Agiasofitou, E.K., Dascalu, C., Bilbie, G.:
Asymptotic homogenization for heterogeneous media with evolving microcracks,
Proceedings of the 16th European Conference of Fracture, Edited by E.E. Gdoutos, CD (8pp), Springer, ISBN: 1-4020-4971-4, Alexandroupolis, July 3-7 (2006)

Agiasofitou, E.K., Kalpakides, V.K.:
The concept of a balance law for a cracked elastic body and the configurational force and moment at the crack tip.
Int. J. Engng. Sci. 44, 127-139 (2006)

2005

Kalpakides, V.K., Agiasofitou, E.K.:
Configurational forces and the propagation of a circular crack in an elastic body, in Mechanics of Material Forces,
in Advances in Mechanics and Mathematics, Eds: P. Steinmann and G. A. Maugin, 231-239, Springer Science+ Business Media, Inc. (2005)

2004

Agiasofitou, E.K., Kalpakides, V.K.:
On the dynamic fracture for a curved crack,
in Configurational Mechanics, Eds: V. K. Kalpakides and G. A. Maugin, pp. 139-156, Taylor & Francis Group, London (2004)

2002

Kalpakides, V.K., Agiasofitou, E.K.:
Configurational balance laws for dynamical fracture.
Theoretical and Applied Mechanics 28-29, 205-219 (2002)
                                         
Kalpakides, V.K., Agiasofitou, E.K.:
On material equations in second gradient electroelasticity.
J. Elast. 67, 205-227 (2002) 

                                                                                                                                             (Bold Roman: Invited Talks)

2019

Agiasofitou, E., Lazar, M.:
A new perspective on the J-, M- and L-integrals: from micromechanics of dislocations to body charges and body forces,
International Conference on Material Modelling, ICMM6, Lund, 26-28 June, 2019

Agiasofitou, E., Lazar, M.:
J-, M- and L-integrals: from micromechanics of dislocations to body charges and body forces,
International Conference on Nonlinear Solid Mechanics, Rome, 16-19 June, 2019

Agiasofitou, E.:
New advancements on the J-, M- and L-integrals: from micromechanics of dislocations to body charges and body forces,
Institute of Engineering Mechanics, Chair for Continuum Mechanics, Karlsruhe Institute of Technology, 05 February 2019

2018

Agiasofitou, E., Lazar, M.:
On J-, M- and L-integrals of dislocations and their physical interpretation,
Generalized Continua in Engineering: Theory, Experiments and Applications, Berlin, 03-07 September, 2018

Agiasofitou, E., Lazar, M.:
Novel aspects in dislocation continuum theory: J-, M- and L-integrals,
41st Solid Mechanics Conference, Warsaw, 27-31 August, 2018

Agiasofitou, E., Lazar, M.:
A new insight into the J-, M- and L-integrals of dislocations,
GAMM, Munich, 19-23 March, 2018

Agiasofitou, E., Lazar, M.:
Micromechanics of dislocations: A new insight into the J-, M- and L-integrals, Euromech Colloquium: Micromechanics of Defects in Crystalline Solids and Metals, Sevilla, 11-15 June, 2018

2017

Agiasofitou, E.:
Mathematical modelling of quasicrystals: generalized dynamics,
in “Seminar über Fragen der Mechanik”, Department of Mechanical Engineering, Institute of Applied Mechanics, Friedrich-Alexander University of Erlangen-Nürnberg, 03 August 2017

Agiasofitou, E., Lazar, M.:
Eshelbian dislocation mechanics: J-, M- and L-integrals,
8th International Symposium on Defect and Material Mechanics (ISDMM17), Lyon, 26-29 June, 2017

2016

Agiasofitou, E., Lazar, M.:
Micromechanics of dislocations: J-, M- and L-integrals,
11th HSTAM International Congress on Mechanics, Special Symposium:  Micromechanics of materials and generalized continua, Athens, 27-30 May, 2016

2015

Agiasofitou, E., Lazar, M.:
Conservation and balance laws in generalized elasticity of quasicrystals,
7th International Symposium on Defect and Material Mechanics (ISDMM15), Bremen, 14-17 September, 2015

2014

Agiasofitou, E., Lazar, M.:
Dislocations in quasicrystals I: Generalized elasticity and fundamentals,
Dislocations: the legacy of Alan Head, Mathematical Institute, University of Oxford, 1-2 September, 2014

2013

Agiasofitou, E., Lazar, M.:
Dislocation dynamics for quasicrystals: a novel model,
10th HSTAM International Congress on Mechanics, Special Symposium:  Micromechanics of materials and generalized continua, Chania, Greece, 25-27 May, 2013

2012

Agiasofitou, E., Lazar, M.:
On the theory of nonlocal anisotropic elasticity,
12th International Conference on Computational & Experimental Engineering and Sciences (ICCES’12), Special Symposium: “Analytical, numerical and experimental analysis on generalized elastic theories”, Chania, Greece, 30 April- 4 May, 2012

Agiasofitou, E., Lazar, M, Kirchner, H.:
Dislocations dynamics in quasicrystals,
83rd Annual meeting of the International Association of Applied mathematics and Mechanics, GAMM, Darmstadt, March 26-30, 2012

2011

Agiasofitou, E., Lazar, M.:
On the nonlocal anisotropic elasticity theory,
2nd International Conference on Material Modelling, Paris, 31 August-2 September, 2011

Agiasofitou, E., Lazar, M, Kirchner, H.:
Generalized dynamics of moving dislocations in quasicrystals,
5th International Symposium on Defect and Material Mechanics (ISDMM11), Sevilla, 27 June-1 July, 2011

2009

Agiasofitou, E., Lazar, M.:
On the nonlinear continuum theory of dislocations,
7th European Solid Mechanics Conference, Lisbon, September 7-11, 2009

2008

Agiasofitou, E., Lazar, M.:
Conservation and balance laws in higher order gradient elasticity,
IUTAM Symposium on “Progress in the Theory and Numerics of Configurational Mechanics, Erlangen (Germany), 20-24 October, 2008

2006

Agiasofitou, E., Dascalu, C., Bilbie, G.:
Asymptotic homogenization for heterogeneous media with evolving microcracks,
16th European Conference of Fracture, Alexandroupolis, July 3-7, 2006

Agiasofitou, E.:
Asymptotic homogenization for micro-fractured bodies,
Chair of Applied Mechanics, Technical University of Kaiserslautern, 30 May 2006

Agiasofitou, E.:
Balance laws for a cracked elastic body,
Chair of Applied Mechanics, Technical University of Kaiserslautern, 29 May 2006

Agiasofitou, E.:
Homogenization for micro-fractured bodies,
Department of Materials Science and Engineering, University of Ioannina, 26 May 2006

2005

Agiasofitou, E.:
Asymptotic homogenization for elastic bodies with growing microcracks,
Laboratoire Sols Solides Structures (3S), Grenoble, 01 December 2005

2004

Agiasofitou, E., Kalpakides, V.K.:
A configurational setting for cracked elastic body,
7th National Congress on Mechanics, Chania (Greece), 24-26 June, 2004

2003

Agiasofitou, E., Kalpakides, V.K.:
On the dynamic fracture for a curved crack,
Mini Symposium in “Configurational Mechanics”, 5th Euromech Solid Mechanics Conference, Thessaloniki, 17-22 August, 2003