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20112026
most citedMicromorphic Computational Homogenization for Mechanical Metamaterials with Patterning Fluctuation Fields

75 citations · 460 across the 33 of their papers we have counts for

collaborators

34 papers

cs.CE2026

Reduced order modeling for micromorphic computational homogenization of mechanical metamaterials with patterning fluctuation fields

Theron Guo, Ondřej Rokoš

Mechanical metamaterials owe some of their exotic effective properties to microstructural instabilities such as buckling and pattern transformation. Their fine-scale geometry, comb…

math.NA2026

A Quasicontinuum Method with Optimized Local Maximum-Entropy Interpolation and Heaviside Enrichment for Heterogeneous Lattices

Benjamin Werner, Ondřej Rokoš, Jan Zeman

Lattice systems are effective for modeling heterogeneous materials, but their computational cost is often prohibitive. The QuasiContinuum (QC) method reduces this cost by interpola…

physics.app-ph2025

Non-uniform pneumatic actuation switches macroscopic properties of elastomeric honeycombs

Ondřej Faltus, Martin Doškář, Jan Havelka +2

Honeycomb microstructures with circular voids are well known to undergo pattern transformations under macroscopic strain loading. Depending on the biaxiality of the applied strain,…

cs.LG2025

Auto-Regressive U-Net for Full-Field Prediction of Shrinkage-Induced Damage in Concrete

Liya Gaynutdinova, Petr Havlásek, Ondřej Rokoš +2

This paper introduces a deep learning approach for predicting time-dependent full-field damage in concrete. The study uses an auto-regressive U-Net model to predict the evolution o…

cs.LG2025★ 1 cited

Homogenization with Guaranteed Bounds via Primal-Dual Physically Informed Neural Networks

Liya Gaynutdinova, Martin Doškář, Ondřej Rokoš +1

Physics-informed neural networks (PINNs) have shown promise in solving partial differential equations (PDEs) relevant to multiscale modeling, but they often fail when applied to ma…

cs.LG2025

Equivariant Flow Matching for Symmetry-Breaking Bifurcation Problems

Fleur Hendriks, Ondřej Rokoš, Martin Doškář +2

Bifurcation phenomena in nonlinear dynamical systems often lead to multiple coexisting stable solutions, particularly in the presence of symmetry breaking. Deterministic machine le…

cond-mat.soft2025

Wallpaper Group-Based Mechanical Metamaterials: Dataset Including Mechanical Responses

Fleur Hendriks, Vlado Menkovski, Martin Doškář +3

Mechanical metamaterials often exhibit pattern transformations through instabilities, enabling applications in, e.g., soft robotics, sound reduction, and biomedicine. These transfo…

physics.app-ph2024★ 6 cited

Towards active stiffness control in pattern-forming pneumatic metamaterials

Ondřej Faltus, Milan Jirásek, Martin Horák +4

Pattern-forming metamaterials feature microstructures specifically designed to change the material's macroscopic properties due to internal instabilities. These can be triggered ei…

cond-mat.soft2024★ 6 cited

Harvesting Deformation Modes for Micromorphic Homogenization from Experiments on Mechanical Metamaterials

S. Maraghechi, O. Rokoš, R. H. J. Peerlings +2

A micromorphic computational homogenization framework has recently been developed to deal with materials showing long-range correlated interactions, i.e. displaying patterning mode…

cs.CE2024★ 1 cited

Third Medium Finite Element Contact Formulation for Pneumatically Actuated Systems

Ondřej Faltus, Martin Horák, Martin Doškář +1

Mechanical metamaterials are artificially engineered microstructures that exhibit novel mechanical behavior on the macroscopic scale. Active metamaterials can be externally control…

cs.CE2024★ 8 cited

Reduced-order modeling for second-order computational homogenization with applications to geometrically parameterized elastomeric metamaterials

T. Guo, V. G. Kouznetsova, M. G. D. Geers +2

The structural properties of mechanical metamaterials are typically studied with two-scale methods based on computational homogenization. Because such materials have a complex micr…

cond-mat.soft2024★ 14 cited

Similarity Equivariant Graph Neural Networks for Homogenization of Metamaterials

Fleur Hendriks, Vlado Menkovski, Martin Doškář +2

Soft, porous mechanical metamaterials exhibit pattern transformations that may have important applications in soft robotics, sound reduction and biomedicine. To design these innova…

cond-mat.mtrl-sci2023

Extended Quasicontinuum Methodology for Highly Heterogeneous Discrete Systems

Benjamin Werner, Ondřej Rokoš, Jan Zeman

Lattice networks are indispensable to study heterogeneous materials such as concrete or rock as well as textiles and woven fabrics. Due to the discrete character of lattices, they…

cs.CE2023★ 15 cited

A reduced order model for geometrically parameterized two-scale simulations of elasto-plastic microstructures under large deformations

Theron Guo, Ondřej Rokoš, Karen Veroy

In recent years, there has been a growing interest in understanding complex microstructures and their effect on macroscopic properties. In general, it is difficult to derive an eff…

cond-mat.soft2023★ 14 cited

A Comparative Study of Enriched Computational Homogenization Schemes Applied to Two-Dimensional Pattern-Transforming Elastomeric Mechanical Metamaterials

S. O. Sperling, T. Guo, R. H. J. Peerlings +3

Elastomeric mechanical metamaterials exhibit unconventional behaviour, emerging from their microstructures often deforming in a highly nonlinear and unstable manner. Such microstru…

math.AP2023★ 5 cited

Bayesian Approach to Micromechanical Parameter Identification Using Integrated Digital Image Correlation

Liya Gaynutdinova, Ondřej Rokoš, Jan Havelka +2

Materials with heterogeneous structures exhibit complex physical processes such as delamination, cracks, and plasticity, which require micromechanical parameters for understanding.…

cond-mat.soft2023★ 18 cited

Integrated Digital Image Correlation for Micro-Mechanical Parameter Identification in Multiscale Experiments

O. Rokoš, R. H. J. Peerlings, J. P. M. Hoefnagels +1

Micromechanical constitutive parameters are important for many engineering materials, typically in microelectronic applications and material design. Their accurate identification p…

cs.CE2022★ 8 cited

Learning constitutive models from microstructural simulations via a non-intrusive reduced basis method: Extension to geometrical parameterizations

Theron Guo, Francesco A. B. Silva, Ondřej Rokoš +1

Understanding structure-property relations is essential to optimally design materials for specific applications. Two-scale simulations are often employed to analyze the effect of t…

cond-mat.soft2021★ 5 cited

Comparative study of multiscale computational strategies for materials with discrete microstructures

K. Mikeš, F. Bormann, O. Rokoš +1

The evolution of local defects such as dislocations and cracks often determines the performance of engineering materials. For a proper description and understanding of these phenom…

cs.CE2021★ 21 cited

Learning constitutive models from microstructural simulations via a non-intrusive reduced basis method

Theron Guo, Ondřej Rokoš, Karen Veroy

In order to optimally design materials, it is crucial to understand the structure-property relations in the material by analyzing the effect of microstructure parameters on the mac…

cs.CE2020★ 27 cited

A Newton Solver for Micromorphic Computational Homogenization Enabling Multiscale Buckling Analysis of Pattern-Transforming Metamaterials

S. E. H. M. van Bree, O. Rokoš, R. H. J. Peerlings +2

Mechanical metamaterials feature engineered microstructures designed to exhibit exotic, and often counter-intuitive, effective behaviour. Such a behaviour is often achieved through…

cs.CE2020★ 11 cited

Level set based eXtended finite element modelling of the response of fibrous networks under hygroscopic swelling

P. Samantray, R. H. J. Peerlings, E. Bosco +3

Materials like paper, consisting of a network of natural fibres, exposed to variations in moisture, undergo changes in geometrical and mechanical properties. This behaviour is part…

cond-mat.soft2020★ 18 cited

Experimental Full-field Analysis of Size Effects in Miniaturized Cellular Elastomeric Metamaterials

S. Maraghechi, J. P. M. Hoefnagels, R. H. J. Peerlings +2

Cellular elastomeric metamaterials are interesting for various applications, e.g. soft robotics, as they may exhibit multiple microstructural pattern transformations, each with its…

cond-mat.soft2020★ 22 cited

Extended Micromorphic Computational Homogenization for Mechanical Metamaterials Exhibiting Multiple Geometric Pattern Transformations

O. Rokoš, M. M. Ameen, R. H. J. Peerlings +1

Honeycomb-like microstructures have been shown to exhibit local elastic buckling under compression, with three possible geometric buckling modes, or pattern transformations. The in…