29 citations · 195 across the 19 of their papers we have counts for
19 papers
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,…
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…
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…
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…
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…
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…
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…
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…
Wang tiles enable combinatorial design and robot-assisted manufacturing of modular mechanical metamaterials
Martin Doškář, Michael Somr, Radim Hlůžek +3
In this paper, we introduce a novel design paradigm for modular architectured materials that allows for spatially nonuniform designs from a handful of building blocks, which can be…
Modular-topology optimization of structures and mechanisms with free material design and clustering
Marek Tyburec, Martin Doškář, Jan Zeman +1
Topology optimization of modular structures and mechanisms enables balancing the performance of automatically-generated individualized designs, as required by Industry 4.0, with en…
Microstructure reconstruction via artificial neural networks: A combination of causal and non-causal approach
Kryštof Latka, Martin Doškář, Jan Zeman
We investigate the applicability of artificial neural networks (ANNs) in reconstructing a sample image of a sponge-like microstructure. We propose to reconstruct the image by predi…
Microstructure-informed reduced modes synthesized with Wang tiles and the Generalized Finite Element Method
M. Doškář, J. Zeman, P. Krysl +1
A recently introduced representation by a set of Wang tiles -- a generalization of the traditional Periodic Unit Cell based approach -- serves as a reduced geometrical model for ma…
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…
Modular-topology optimization with Wang tilings: An application to truss structures
Marek Tyburec, Jan Zeman, Martin Doškář +2
Modularity is appealing for solving many problems in optimization. It brings the benefits of manufacturability and reconfigurability to structural optimization, and enables a trade…
Reduced integration schemes in micromorphic computational homogenization of elastomeric mechanical metamaterials
Ondřej Rokoš, Jan Zeman, Martin Doškář +1
Exotic behaviour of mechanical metamaterials often relies on an internal transformation of the underlying microstructure triggered by its local instabilities, rearrangements, and r…
Level-set based design of Wang tiles for modelling complex microstructures
Martin Doškář, Jan Zeman, Daniel Rypl +1
Microstructural geometry plays a critical role in the response of heterogeneous materials. Consequently, methods for generating microstructural samples are increasingly crucial to…
Wang tiling aided statistical determination of the Representative Volume Element size of random heterogeneous materials
Martin Doškář, Jan Zeman, Daniela Jarušková +1
Wang tile based representation of a heterogeneous material facilitates fast synthesis of non-periodic microstructure realizations. In this paper, we apply the tiling approach in nu…
A jigsaw puzzle framework for homogenization of high porosity foams
Martin Doškář, Jan Novák
An approach to homogenization of high porosity metallic foams is explored. The emphasis is on the \Alporas{} foam and its representation by means of two-dimensional wire-frame mode…
Aperiodic compression and reconstruction of real world material systems based on Wang tiles
Martin Doškář, Jan Novák, Jan Zeman
The paper presents a concept/technique to compress and synthesize complex material morphologies that is based on Wang tilings. Specifically, a microstructure is stored in a set of…