izv. prof. dr. sc. Igor Velčić

Associate professor, Department of Applied Mathematics

Location:
Public phone number:
6129-965
Internal phone number:
465
  Journal articles and review articles in CC journals
 

1. Hornung, Peter; Pawelczyk, Matthaus; Velčić, Igor.
Stochastic homogenization of the bending plate model. // Journal of mathematical analysis and applications. 458 (2018) , 2; 1236-1273 (journal article).

2. Bukal, Mario; Pawelczyk Matthäus; Velčić, Igor.
Derivation of homogenized Euler–Lagrange equations for von Kármán rods. // Journal of differential equations. 262 (2017) , 11; 5565-5605 (journal article).

3. Bukal, Mario; Velčić, Igor.
On the simultaneous homogenization and dimension reduction in elasticity and locality of Gamma- closure. // Calculus of variations and partial differential equations. 56 (2017) ; 59-1-59-41 (journal article).

4. Velčić, Igor.
ON THE GENERAL HOMOGENIZATION OF VON KARMAN PLATE EQUATIONS FROM 3D NONLINEAR ELASTICITY. // Analysis and applications. 15 (2017) , 1; 1-49 (journal article).

5. Marohnić, Maroje; Velčić, Igor.
Non-periodic homogenization of bending-torsion theory for inextensible rods from 3D elasticity. // Annali di matematica pura ed applicata. 195 (2016) , 4; 1055-1079 (journal article).

6. Hornung, Peter; Velčić, Igor.
Derivation of a homogenized von-Kármán shell theory from 3D elasticity. // Annales de l institut henri poincare-analyse non lineaire. 32 (2015) , 5; 1039-1070 (journal article).

7. Marohnić, Maroje; Velčić, Igor.
HOMOGENIZATION OF BENDING THEORY FOR PLATES ; THE CASE OF OSCILLATIONS IN THE DIRECTION OF THICKNESS. // Communications on pure and applied analysis. 14 (2015) , 6; 2151-2168 (journal article).

8. Velčić, Igor.
On the derivation of homogenized bending plate model. // Calculus of variations and partial differential equations. 53 (2015) , 3; 561-586 (journal article).

9. Hornung, Peter; Neukamm, Stefan; Velčić, Igor.
Derivation of a homogenized nonlinear plate theory from 3d elasticity. // Calculus of variations and partial differential equations. 51 (2014) , 3; 677-699 (journal article).

10. Neukamm, Stefan; Velčić, Igor.
Derivation of a homogenized von-Karman plate theory from 3D nonlinear elasticity. // Mathematical models and methods in applied sciences. 23 (2013) , 14; 2701-2748 (journal article).

11. Velčić, Igor.
Periodically wrinkled plate model of the F\"oppl-von K\'arm\'an type. // Annali della scuola normale superiore di pisa-classe di scienze. 12 (2013) , 2; 275-307 (journal article).

12. Tambača, Josip; Velčić, Igor.
Derivation of the nonlinear bending-torsion model for a junction of elastic rods. // Proceedings of the Royal Society of Edinburgh. Section A. 142 (2012) , 3; 633-664 (journal article).

13. Velčić, Igor.
Nonlinear weakly curved rod by $\Gamma$-convergence. // Journal of elasticity. 108 (2012) , 2; 125-150 (journal article).

14. Velčić, Igor.
Shallow shell models by $\Gamma$-convergence. // Mathematics and mechanics of solids. 17 (2012) , 8; 781-802 (journal article).

15. Tambača, Josip; Velčić, Igor.
Semicontinuity theorem in the micropolar elasticity. // Esaim - Control, Optimisation and Calculus of Variations. 16 (2010) , 2; 337-355 (journal article).

16. Tambača, Josip; Velčić, Igor.
Existence theorem for nonlinear micropolar elasticity. // Esaim-control optimisation and calculus of variations. 16 (2010) , 1; 92-110 (journal article).

17. Velčić, Igor; Tambača, Josip.
Relaxation Theorem and Lower-Dimensional Models in Micropolar Elasticity. // Mathematics and mechanics of solids. 15 (2010) , 8; 812-853 (journal article).

18. Tambača, Josip; Velčić, Igor.
Evolution Model for Linearized Micropolar Plates by the Fourier Method. // Journal of Elasticity. 96 (2009) , 2; 129-154 (journal article).
 
  Papers accepted for publication in the cc journals
 

1. Cherdantsev, Mikhail; Cherednichenko, Kirill; Velčić, Igor.
Stochastic homogenisation of high-contrast media. // Applicable analysis. (2019) (accepted for publication).

2. Hornung, Peter; Velčić, Igor.
Regularity of intrinsically convex W^{;2, 2}; surfaces and a derivation of a homogenized bending theory of convex shells. // Journal de mathématiques pures et appliquées. (2018) (accepted for publication).
 
  Scientific papers in other journals
 

1. Tambača, Josip; Velčić, Igor.
Derivation of a model of nonlinear micropolar plate. // Annali dell'Università di Ferrara. Sezione 7: Scienze matematiche. 54 (2008) , 2; 319-333 (journal article).

2. Tambača, Josip; Velčić, Igor.
Evolution model of linear micropolar plate. // Annali dell'Universita'di Ferrara. 53 (2007) , 2; 417-435 (journal article).
 
  Dissertations
 

1. Velčić, Igor.
Egzistence theorem and lower dimensional models in nonlinear micropolar elasticity / doctoral thesis.
Zagreb : PMF-Matemtički odsjek, 29.06. 2009., 148 pages. Mentor: Tambača, Josip.
 

Teaching duties

University undergraduate

University graduate

Postgraduate doctoral study programme