activity
20202026
most citedHomogenization of large deforming fluid-saturated porous structures

12 citations · 22 across the 5 of their papers we have counts for

collaborators

5 papers

math.NA2026

Reduced-order computational homogenization for hyperelastic media using gradient based sensitivity analysis of microstructures

Vladimír Lukeš, Eduard Rohan

We propose an algorithm for the computational homogenization of locally periodic hyperelastic structures undergoing large deformations due to external quasi-static loading. The alg…

cs.CE2023

A Sequential Global Programming Approach for Two-scale Optimization of Homogenized Multiphysics Problems with Application to Biot Porous Media

Bich Ngoc Vu, Vladimir Lukeš, Michael Stingl +1

We present a new approach and an algorithm for optimizing the material configuration and behaviour of a fluid saturated porous medium in a two-scale setting. The state problem is g…

math.AP2022★ 2 cited

Homogenization of the vibro-acoustic transmission on periodically perforated elastic plates interacting with flow

Eduard Rohan, Vladimír Lukeš

We consider acoustic waves propagating in an inviscid fluid interacting with a rigid periodically perforated plate in the presence of permanent flows. The paper presents a model of…

physics.comp-ph2021★ 8 cited

Homogenization of the vibro-acoustic transmission on periodically perforated elastic plates with arrays of resonators

Eduard Rohan, Vladimír Lukeš

Based on our previous work, we propose a homogenized model of acoustic waves propagating through periodically perforated elastic plates with metamaterial properties due to embedded…

math.NA2020★ 12 cited

Homogenization of large deforming fluid-saturated porous structures

Vladimír Lukeš, Eduard Rohan

The two-scale computational homogenization method is proposed for modelling of locally periodic fluid-saturated media subjected a to large deformation induced by quasistatic loadin…