Igor Velčić

Prof. Igor Velčić is a Full Professor at the Department of Applied Mathematics, Faculty of Electrical Engineering and Computing (University of Zagreb). His research focuses on the mathematical analysis of materials, particularly homogenization theory, nonlinear elasticity, and structural mechanics. Key areas include the derivation of effective models for composite materials, plate and shell theories, and micropolar elasticity. He has contributed to the understanding of elastic and plastic behavior in heterogeneous media through rigorous mathematical frameworks.

His work integrates advanced techniques from calculus of variations, spectral analysis, and stochastic processes. Notable contributions include homogenization of von Kármán plate equations from 3D nonlinear elasticity and analysis of high-contrast composite materials. Current research emphasizes multiscale modeling, with applications in elastic plates, rods, and shells under varying microstructural conditions.

Prof. Velčić’s publications span homogenization of elasto-plastic models, spectral analysis of composite plates, and stochastic approaches to high-contrast media. His studies often bridge theoretical results with engineering applications, focusing on structural behavior under mechanical loads and material heterogeneity.