prof. dr. sc. Igor Velčić

Full professor, Department of Applied Mathematics

Location:
Public phone number:
6129-965
Internal phone number:
465

Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure: The limiting regimes

Bužančić, Marin; Davoli, Elisa; Velčić, Igor
2024.
Advances in Calculus of Variations

Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure

Bužančić, Marin; Davoli, Elisa; Velčić, Igor
2024.
Calculus of variations and partial differential equations

Operator-norm resolvent estimates for thin elastic periodically heterogeneous rods in moderate contrast

Cherednichenko, Kirill ; Velčić, Igor ; Žubrinić, Josip
2023.
Calculus of variations and partial differential equations

Spectral and evolution analysis of composite elastic plates with high contrast

Bužančić, Marin; Cherednichenko, Kirill; Velčić, Igor; Žubrinić, Josip
2022.
Journal of elasticity

Derivation of a homogenized elasto-plastic plate model

Bužančić, Marin
2022.

Stochastic homogenisation of high-contrast media

Cherdantsev, Mikhail ; Cherednichenko, Kirill ; Velčić, Igor
2019.
Applicable analysis

Stochastic homogenization of the bending plate model

Hornung, Peter ; Pawelczyk, Matthaus ; Velčić, Igor
2018.
Journal of mathematical analysis and applications

Regularity of intrinsically convex W^{;;2, 2};; surfaces and a derivation of a homogenized bending theory of convex shells

Hornung, Peter ; Velčić, Igor
2018.
Journal de mathématiques pures et appliquées

Derivation of homogenized Euler–Lagrange equations for von Kármán rods

Bukal, Mario ; Pawelczyk Matthäus ; Velčić, Igor
2017.
Journal of differential equations

On the simultaneous homogenization and dimension reduction in elasticity and locality of Gamma- closure

Bukal, Mario ; Velčić, Igor
2017.
Calculus of variations and partial differential equations

ON THE GENERAL HOMOGENIZATION OF VON KARMAN PLATE EQUATIONS FROM 3D NONLINEAR ELASTICITY

Velčić, Igor
2017.
Calculus of variations and partial differential equations

Non-periodic homogenization of bending-torsion theory for inextensible rods from 3D elasticity

Marohnić, Maroje ; Velčić, Igor
2016.
Annali di matematica pura ed applicata

Derivation of a homogenized von-Kármán shell theory from 3D elasticity

Hornung, Peter ; Velčić, Igor
2015.
Annales de l institut henri poincare-analyse non lineaire

On the derivation of homogenized bending plate model

Velčić, Igor
2015.
Calculus of variations and partial differential equations

HOMOGENIZATION OF BENDING THEORY FOR PLATES ; THE CASE OF OSCILLATIONS IN THE DIRECTION OF THICKNESS

Marohnić, Maroje ; Velčić, Igor
2015.
Communications on pure and applied analysis

Derivation of a homogenized nonlinear plate theory from 3d elasticity

Hornung, Peter ; Neukamm, Stefan ; Velčić, Igor
2014.
Calculus of variations and partial differential equations

Periodically wrinkled plate model of the F\"oppl-von K\'arm\'an type

Velčić, Igor
2013.
Annali della scuola normale superiore di pisa-classe di scienze

Derivation of a homogenized von-Karman plate theory from 3D nonlinear elasticity

Neukamm, Stefan ; Velčić, Igor
2013.
Mathematical models and methods in applied sciences

Nonlinear weakly curved rod by $\Gamma$-convergence

Velčić, Igor
2012.
Journal of elasticity

Derivation of the nonlinear bending-torsion model for a junction of elastic rods

Tambača, Josip ; Velčić, Igor
2012.
Proceedings. Section A. Mathematics (Edinburgh)

Shallow shell models by $\Gamma$-convergence

Velčić, Igor
2012.
Mathematics and mechanics of solids

Relaxation Theorem and Lower-Dimensional Models in Micropolar Elasticity

Velčić, Igor ; Tambača, Josip
2010.
Mathematics and mechanics of solids

Semicontinuity theorem in the micropolar elasticity

Tambača, Josip ; Velčić, Igor
2010.
ESAIM. Control, optimisation and calculus of variations

Existence theorem for nonlinear micropolar elasticity

Tambača, Josip ; Velčić, Igor
2010.
ESAIM. Control, optimisation and calculus of variations

Evolution Model for Linearized Micropolar Plates by the Fourier Method

Tambača, Josip ; Velčić, Igor
2009.
Journal of elasticity

Egzistence theorem and lower dimensional models in nonlinear micropolar elasticity

Velčić, Igor
2009.

Derivation of a model of nonlinear micropolar plate

Tambača, Josip ; Velčić, Igor
2008.
Annali dellNULLUniversità di Ferrara. Sezione 7: Scienze matematiche

Evolution model of linear micropolar plate

Tambača, Josip ; Velčić, Igor
2007.
Annali dellNULLUniversità di Ferrara. Sezione 7: Scienze matematiche

Consistency problems for Heath-Jarrow-Morton model

Velčić, Igor
2004.

Teaching

University undergraduate

University graduate

Competences

  • Mathematics
    Partial differential equations