izv. prof. dr. sc. Igor Velčić

Izvanredni profesor, Zavod za primijenjenu matematiku

  Izvorni znanstveni i pregledni radovi u CC časopisima
 
Derivation of homogenized Euler–Lagrange equations for von Kármán rods. // Journal of differential equations. 262 (2017) , 11; 5565-5605 (članak, znanstveni).
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 (članak, znanstveni).
On the derivation of homogenized bending plate model. // Calculus of variations and partial differential equations. 53 (2015) , 3; 561-586 (članak, znanstveni).
Derivation of a homogenized nonlinear plate theory from 3d elasticity. // Calculus of variations and partial differential equations. 51 (2014) , 3; 677-699 (članak, znanstveni).
Derivation of a homogenized von-Karman plate theory from 3D nonlinear elasticity. // Mathematical models and methods in applied sciences. 23 (2013) , 14; 2701-2748 (članak, znanstveni).
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 (članak, znanstveni).
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 (članak, znanstveni).
Nonlinear weakly curved rod by $\Gamma$-convergence. // Journal of elasticity. 108 (2012) , 2; 125-150 (članak, znanstveni).
Shallow shell models by $\Gamma$-convergence. // Mathematics and mechanics of solids. 17 (2012) , 8; 781-802 (članak, znanstveni).
Semicontinuity theorem in the micropolar elasticity. // Esaim - Control, Optimisation and Calculus of Variations. 16 (2010) , 2; 337-355 (članak, znanstveni).
Existence theorem for nonlinear micropolar elasticity. // Esaim-control optimisation and calculus of variations. 16 (2010) , 1; 92-110 (članak, znanstveni).
Relaxation Theorem and Lower-Dimensional Models in Micropolar Elasticity. // Mathematics and mechanics of solids. 15 (2010) , 8; 812-853 (članak, znanstveni).
Evolution Model for Linearized Micropolar Plates by the Fourier Method. // Journal of Elasticity. 96 (2009) , 2; 129-154 (članak, znanstveni).
 
  Radovi prihvaćeni za objavljivanje u CC časopisima
 
Non-periodic homogenization of bending-torsion theory for inextensible rods from 3D elasticity. // Annali di matematica pura ed applicata. (2015) (prihvaćen za objavljivanje).
HOMOGENIZATION OF BENDING THEORY FOR PLATES ; THE CASE OF OSCILLATIONS IN THE DIRECTION OF THICKNESS. // Communications on pure and applied analysis. (2015) (prihvaćen za objavljivanje).
ON THE GENERAL HOMOGENIZATION OF VON KARMAN PLATE EQUATIONS FROM 3D NONLINEAR ELASTICITY. // Analysis and applications. (2015) (prihvaćen za objavljivanje).
Derivation of a homogenized von-Kármán shell theory from 3D elasticity. // Annales de l institut henri poincare-analyse non lineaire. (2014) (prihvaćen za objavljivanje).
 
  Znanstveni radovi u drugim časopisima
 
Derivation of a model of nonlinear micropolar plate. // Annali dell'Università di Ferrara. Sezione 7: Scienze matematiche. 54 (2008) , 2; 319-333 (članak, znanstveni).
Evolution model of linear micropolar plate. // Annali dell'Universita'di Ferrara. 53 (2007) , 2; 417-435 (članak, znanstveni).
 
  Disertacije
 
Teorem egzistencije i nižedimenzionalni modeli u nelinearnoj mikropolarnoj elastičnosti / doktorska disertacija.
 

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