Publikace

informace pocházejí z univerzitní databáze V3S

Autoři:
doc. Ing. Petr Zlámal, Ph.D.; Ing. et Ing. Radim Dvořák; Ing. Jan Falta; Ing. Petr Koudelka, Ph.D.; Ing. Ján Kopačka, Ph.D.; Ing. Jaromír Kylar; prof. Ing. Ondřej Jiroušek, Ph.D.
Publikováno:
2025, Measurement: Sensors, ISSN 2665-9174
Anotace:
Hopkinson pressure bar is a commonly used technique to test the response of a specimen to shock load under constant strain rate to determine its material parameters. In addition to that, we propose that the Hopkinson bar apparatus can be employed to test the response of the specimen in the sense of frequency analysis; that is, specimens made of a complex metamaterial could behave as a filter of specific frequencies. Here, several difficulties arise. The structure of the metamaterial affects only those waves that have a wave length comparable to the specific length in the metamaterial of the specimen. However, the bar geometry of the apparatus itself behaves as a low-pass filter, so the high frequencies are attenuated with distance traveled. Hence, here we have the situation that the longer the specimen is, we lose the ability to investigate high frequencies, and, at the same time, the shorter the specimen is, the higher the lowest affected frequency is. Our contribution is to find a compromise for the length of the sample and to design a high-frequency testing method for such an investigation of metamaterials.
DOI:
Typ:
Článek v odborném recenzovaném periodiku

Autoři:
Ing. et Ing. Radim Dvořák; González, J.A.
Publikováno:
2024, Computer Methods in Applied Mechanics and Engineering, 432 (Part A), ISSN 1879-2138
Anotace:
We propose a novel optimization technique for the automatic construction of interface operators for coupling non-matching 3D meshes. The core of the method lies in the use of localized Lagrange multipliers and least-squares approximation to find the optimal location of additional interface nodes, allowing the problem to be solved without modifying the meshes of the coupled subdomains and passing the patch test. Although many techniques exist in the literature for coupling incompatible meshes, such as the widely accepted Mortar method, which solves the problem exactly, the proposed method brings two crucial advantages: first, it eliminates the need to compute complex surface integrals on the intersection of the boundary meshes (thanks to the use of techniques adapted from the existing method of localized Lagrange multipliers); and second, and more importantly, we achieve this passing the patch test with comparable accuracy to Mortar. The efficiency and accuracy of the proposed coupling technique is demonstrated by comparing its results with other coupling methods and by solving various theoretical and practical examples with exact and experimental solutions in statics and dynamics.
DOI:
Typ:
Článek v periodiku excerpovaném SCI Expanded

Autoři:
Ing. et Ing. Radim Dvořák; doc. Ing. Radek Kolman, Ph.D.; Ing. Jan Falta; Ing. Michaela Jurko
Publikováno:
2023, Vol. 42 (2023): 18th Youth Symposium on Experimental Solid Mechanics, Praha, České vysoké učení technické v Praze), p. 6-11), ISBN 978-80-01-07237-0, ISSN 2336-5382
Anotace:
This contribution deals with an asynchronous direct time integration of the finite-element model. The proposed method is applied to the phenomenon of wave propagation through an elastic linear continuum. The numerical model is partitioned into individual subdomains using the domain decomposition method by means of localized Lagrange multipliers. For each subdomain, different time discretizations are used. No restrictions for relation between subdomain’s time steps are imposed. The coupling of the subdomains is forced by an acceleration continuity condition. Additionally, we use the a posteriori technique to also provide the displacement and velocity continuity at the interfaces, and hence we obtain exact continuity of all three kinematic fields. The proposed method is experimentally validated using the modified SHPB (split Hopkinson pressure bar) setup.
DOI:
Typ:
Stať ve sborníku z prestižní konf.

Autoři:
Ing. et Ing. Radim Dvořák; doc. Ing. Radek Kolman, Ph.D.; prof. Ing. Ondřej Jiroušek, Ph.D.; González, J.A.; Park, K.C.
Publikováno:
2023, Proceedings of the 9 th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Athens, Institute of Structural Analysis and Antiseismic Research, NTUA)
Typ:
Stať ve sborníku z prestižní konf. (Scopus)

Autoři:
Ing. Veronika Drechslerová; Ing. Jan Falta; Ing. Tomáš Fíla, Ph.D.; Ing. et Ing. Radim Dvořák; doc. Ing. Daniel Kytýř, Ph.D.
Publikováno:
2023, Vol. 42 (2023): 18th Youth Symposium on Experimental Solid Mechanics, Praha, České vysoké učení technické v Praze), p. 1-5), ISBN 978-80-01-07237-0, ISSN 2336-5382
Anotace:
This paper focuses on stereolithography (an additive manufacturing technology working on the principle of curing liquid resins layer by layer using ultraviolet radiation) and the effect of aging on the mechanical properties of the material and printed samples. The aging of the material could be a problem for its subsequent use as the stability of the mechanical properties would not be maintained and unwanted deterioration of the material could occur. As part of the research, sets of samples were printed and subjected to different aging methods and subsequently subjected to quasi-static and dynamic uni-axial load tests. From the data obtained, the basic mechanical properties of the material were calculated and compared with each other. The aim of this paper was to investigate whether aging process causes significant changes in the mechanical properties of the materials used, which could have a consequential impact on their use in different industries.
DOI:
Typ:
Stať ve sborníku z prestižní konf.

Autoři:
Ing. et Ing. Radim Dvořák; doc. Ing. Radek Kolman, Ph.D.; Mračko, M.; Ing. Ján Kopačka, Ph.D.; Ing. Tomáš Fíla, Ph.D.; prof. Ing. Ondřej Jiroušek, Ph.D.; Ing. Jan Falta; Ing. Michaela Jurko; Ing. Václav Rada
Publikováno:
2023, Computer Methods in Applied Mechanics and Engineering, 413, p. 1-26), ISSN 1879-2138
Anotace:
The derivation and implementation of an asynchronous direct time integration scheme for domain-decomposed finite element models is presented. To maximize clarity in the description of the proposed asynchronous integration, the scheme is restricted to the linear-elastic stress wave propagation case. The proposed method allows the integration of individual subdomains with independent time steps. There is no requirement for an integer time steps ratio of the interacting domains while maintaining zero interface energy. The subdomains are connected by the condition of the continuity of the acceleration field at the interface. In addition, the a posteriori technique is applied to satisfy the continuity of the displacement and velocity fields. Another important contribution of this paper lies in the description of the implementation — we offer the reader a general description of the implementation of the case of any number of subdomains with any number of constraints between them, while the basics of the algorithm are explained on a single domain pair. The functionality of the asynchronous integrator is verified by solving selected problems and comparing with analytical solutions and experimental measurements obtained using a Split Hopkinson pressure bar setup. © 2023 Elsevier B.V.
DOI:
Typ:
Článek v periodiku excerpovaném SCI Expanded

Autoři:
Ing. et Ing. Radim Dvořák; doc. Ing. Radek Kolman, Ph.D.; Ing. Tomáš Fíla, Ph.D.; Ing. Jan Falta; Park, K.C.
Publikováno:
2023, Wave Motion, 121, ISSN 0165-2125
Anotace:
This is a presentation of robust and accurate explicit time-stepping strategy for finite element modeling of elastic discontinuous wave propagation in strongly heterogeneous, multi-material and graded one-dimensional media. One of the major issues in FEM modeling is the existence of spurious numerical stress oscillations close to theoretical wave fronts due to temporal-spatial dispersion behavior of FE discretization. The numerical strategy presented for modeling of 1D discontinuous elastic waves is based on (a) pushforward-pullback local stepping — ensuring the elimination of dispersion due to different critical time step sizes of finite elements, (b) domain decomposition via localized Lagrange multipliers — to satisfy coupling kinematics and dynamic equations , (c) asynchronous time scheme — ensuring the correct information transfer of quantities for the case of integer ratios of time step size for all domain pairs. Dispersion behaviors, existence of spurious stress oscillations, and sensitivity of the dispersion to time step size are then suppressed. The proposed method is numerically tested with regard to the rectangular step pulse elastic propagation problem considering in-space varying Young’s modulus. To prove robustness and accuracy, a comparison with results from commercial software, an analytical solution, and experimental data from partial assembly of a split Hopkinson pressure bar (SHPB) setup is provided.
DOI:
Typ:
Článek v periodiku excerpovaném SCI Expanded

Autoři:
Ing. Veronika Drechslerová; Ing. Michaela Jurko; Ing. Jan Falta; Ing. Jan Šleichrt, Ph.D.; Ing. et Ing. Radim Dvořák
Publikováno:
2023, Inovace v aditivních technologiích INAM 2023, Jihlava, Vysoká škola polytechnická Jihlava), p. 13-13), ISBN 978-80-88064-66-4
Anotace:
Příspěvek je zaměřený na vhodnost využití stereolitografie (SLA) pro výrobu porézních struktur s potenciálem vysoké absorpce energie nárazu. SLA je technologií aditivní výroby využívající principu vytvrzování tekutých pryskyřic pomocí záření určité vlnové délky [I. Romero-Ocaña, S.I. Molina 2022]. Pro posouzení vlivu použitého materiálu na výsledné mechanické vlastnosti byly sady testovacích vzorků vyrobeny ze tří různých pryskyřic a následně vystaveny kvazi - statickým jednoosým tahovým a tlakovým zkouškám. Z naměřených dat byly vytvořeny diagramy napětí - deformace a spočítány základní materiálové vlastnosti. Na základě získaných poznatků bylo optimalizováno nastavení parametrů výrobního procesu pro zajištění požadované kvality tisku, odezvy 3D tištěných vzorků na zatěžování v závislosti na volbě použité pryskyřice a zhodnocena celková vhodnost metody SLA pro výrobu pokročilých celulárních struktur.
DOI:
Typ:
Abstrakt ve sborníku z lokální konf. česky

Autoři:
Ing. et Ing. Radim Dvořák; doc. Ing. Radek Kolman, Ph.D.; prof. Ing. Ondřej Jiroušek, Ph.D.; González, J.A.
Publikováno:
2023, Proceedings of the 1st Conference on INAM 2023, Jihlava, Vysoká škola polytechnická Jihlava)
Typ:
Abstrakt ve sborníku z lokální konf. česky

Autoři:
Ing. et Ing. Radim Dvořák; doc. Ing. Radek Kolman, Ph.D.; prof. Ing. Ondřej Jiroušek, Ph.D.; Gonzalez, J.A.; Park, K.C.
Publikováno:
2022, DD27 abstract book, Praha, CESKE VYSOKE UCENI TECHNICKE V PRAZE)
Anotace:
The problem of the linear elastodynamics including domain decomposition via localized Lagrange multipliers method is solved using nite element method and direct time integration. Time integration of domains is performed separately with dierent time steps. The asynchronous integrator scheme is generalized for multiple domains problem and enhanced by the use of a local variant of the pushforward-pullback method, which eectively avoids spurious oscillation in steep stress pulses response. The proposed method is applied to the rectangular step pulse propagation problem considering the linearly varying Young modulus in space as well as the bi-material interface problem. To prove the robustness and the accuracy, the comparison with analytical solution and commercial soft- ware outputs is provided.
Typ:
Abstrakt ve sborníku z mezinár. konf. cizojazyčně

Autoři:
Ing. et Ing. Radim Dvořák; doc. Ing. Radek Kolman, Ph.D.; Ing. Tomáš Fíla, Ph.D.; Ing. Jan Falta; Park, K.C.
Publikováno:
2022, International Conference on Nonlinear Solid Mechanics, abstract book, International Research Center on Mathematics and Mechanics of Complex Systems)
Anotace:
The problem of the linear elastodynamics including domain decomposition via localized Lagrange multipliers method [2] is solved using finite element method and direct time integration. Time integration of domains is performed separately with different time steps with integer ratio. The known asynchronous integrator scheme [1] is generalized for multiple domains problem and enhanced by the use of a local variant of the pushforward-pullback method, which effectively avoids spurious oscillation in steep stress pulses response. The proposed method is applied to the rectangular step pulse propagation problem considering the linearly varying Young modulus in space as well as the bi-material interface problem. To prove the robustness and the accuracy, the comparison with analytical solution and commercial software outputs is provided.
Typ:
Abstrakt ve sborníku z mezinár. konf.

Autoři:
Ing. et Ing. Radim Dvořák; doc. Ing. Radek Kolman, Ph.D.; Ing. Tomáš Fíla, Ph.D.; Ing. Jan Falta; Park, K.C.
Publikováno:
2022, International Conference on Nonlinear Solid Mechanics, abstract book, International Research Center on Mathematics and Mechanics of Complex Systems), p. 35-35)
Anotace:
The problem of the linear elastodynamics including domain decomposition via localized La- grange multipliers method [2] is solved using finite element method and direct time integration. Time integration of domains is performed separately with different time steps with integer ra- tio. The known asynchronous integrator scheme [1] is generalized for multiple domains prob- lem and enhanced by the use of a local variant of the pushforward-pullback method, which effectively avoids spurious oscillation in steep stress pulses response. The proposed method is applied to the rectangular step pulse propagation problem considering the linearly varying Young modulus in space as well as the bi-material interface problem. To prove the robustness and the accuracy, the comparison with analytical solution and commercial software outputs is provided.
Typ:
Abstrakt ve sborníku z mezinár. konf.

Autoři:
Ing. Petr Koudelka, Ph.D.; Ing. Tomáš Fíla, Ph.D.; Ing. et Ing. Radim Dvořák; Ing. Michaela Jurko; Ing. Jan Falta; Ing. Jan Šleichrt, Ph.D.; doc. Ing. Petr Zlámal, Ph.D.; prof. Ing. Ondřej Jiroušek, Ph.D.
Publikováno:
2022, Dynamic Behaviour of Additively Manufactured Structures & Materials, Freiburg im Breisgau, Albert-Ludwigs-Universität Freiburg), p. 187-192)
Anotace:
We demonstrate numerical modelling of the mechanical response of auxetic structures sub- jected to dynamic uniaxial compressive load- ing in split Hopkinson pressure bar (SHPB) at the strain rates of 1500 s−1 and 3000 s−1. The stress-strain characteristics as well as com- pressive strain dependent Poisson’s ratio of re-entrant honeycomb and missing-rib aux- etic lattices are assessed in LS-DYNA simula- tions with explicit time integration. Numer- ical results are supported by SHPB experi- ments utilized for both calibration of finite el- ement modeling and verification of the sim- ulations. The studied lattices were additively manufactured by laser powder bed fusion from 316L stainless steel. The numerical aspects of the simulations together with the influence of the 3D printing quality on the reliability of the results are discussed.
Typ:
Stať ve sborníku z mezinár. konf.

Autoři:
Ing. Michaela Jurko; Ing. Petr Koudelka, Ph.D.; Ing. et Ing. Radim Dvořák; prof. Ing. Ondřej Jiroušek, Ph.D.
Publikováno:
2019, 10th International Conference Auxetics and other materials and models with ”negative” characteristics - abstract book, Poznań, Institute of Molecular Physics), ISBN 978-83-933663-8-5
Typ:
Abstrakt ve sborníku z mezinár. konf.

Autoři:
Ing. et Ing. Radim Dvořák; Ing. Petr Koudelka, Ph.D.; Ing. Tomáš Fíla, Ph.D.
Publikováno:
2019, 17th YOUTH SYMPOSIUM ON EXPERIMENTAL SOLID MECHANICS, Praha, Česká technika - nakladatelství ČVUT), p. 25-31), ISBN 978-80-01-06670-6, ISSN 2336-5382
Anotace:
The paper aims at the numerical simulation of the wave propagation in compressive Split Hopkinson Pressure Bar (SHPB) experiment. The paper deals with principles of SHPB measurement, optimisation of a numerical model and techniques of pulse shaping. The parametric model of the typical SHPB configuration developed for LS-DYNA environment is introduced and optimised (in terms of element size and distribution) using the sensitivity study. Then, a parametric analysis of a geometric properties of the pulse shaper is carried out to reveal their influence on a shape of the incident pulse. The analysis is algorithmized including the pre- and post-processing routines to enable automated processing of numerical results and comparison with the experimental data. Results of the parametric analysis and the influence of geometric properties of the pulse shaper (diameter, length) on the incident wave are demonstrated.
DOI:
Typ:
Stať ve sborníku z prestižní konf.

Autoři:
Ing. et Ing. Radim Dvořák; Ing. Petr Koudelka, Ph.D.; doc. Ing. Petr Zlámal, Ph.D.
Publikováno:
2018
Anotace:
Předmětem této bakalářské práce je shrnutí poznatků a faktů o šíření vlnění jednorozměrným kontinuem, zejména v dlouhých tenkých tyčích, o principech měření metodou SHPB, o technikách tvarování pulzu a okrajově i o metodách numerické mechaniky. Z teoretického úvodu vychází část praktická, kde je vytvořen zdrojový kód pro tvorbu parametrického modelu typické sestavy SHPB pro prostředí LS-DYNA. Redukovaná sestava je pak metodou konečných prvků podrobena citlivostní studii. Nakonec je provedena parametrická studie tvarovače pulzu, která sleduje vliv geometrických vlastností tvarovače na tvar napěťového pulzu a která je včetně s procesů s ní spjatých algoritmizována, čímž je umožněno snadné zpracování výsledků a případné srovnání s experimentálními daty. Primárním výstupem práce jsou výsledky parametrické studie v podobě kvantifikované míry vlivu geometrie tvarovače na změnu tvaru pulzu a automatizační algoritmy pro tvorbu modelů, provedení simulací a vyhodnocení výsledků.
Typ:
Diplomová práce