Significant papers published by the Laboratory of Computational Solid Mechanics.
Multiphysics
del Corro E., Peňa-Álvarez M., Sato K., Morales-García A., Bouša M., Mračko M., Kolman R., Pacáková B., Kavan L., Kalbáč M., Frank O. Fine tuning of optical transition energy of twisted bilayer graphene via interlayer distance modulation. Physical Review B95(8), 2017. Source
del Corro E., Peňa-Álvarez M., Mračko M., Kolman R., Kalbáč M., Kavan L., Frank O. Graphene under direct compression: Stress effects and interlayer coupling. Physica Status Solidi B253(12): 2336-2341, 2016. Source
Adámek J., Horáček J., Seidl J., Müller H.W., Schrittwieser R., Mehlmann F., Vondráček P., Pták S. Direct Plasma Potential Measurements by Ball-Pen Probe and Self-Emitting Langmuir Probe on COMPASS and ASDEX Upgrade. Contributions to Plasma Physics54(3): 279-284, 2014. Source
Continuum mechanics
Okrouhlík M. Why is the stress tensor symmetric? International Journal of Mechanical Engineering Education40(4), 342-352, 2012. Source
Okrouhlík M. The Quest for Truth, particularly in Mechanics. Estonian Journal of Engineering19(4), 253-272, 2013. Source
Theory of wave propagation and Composite materials
Adámek V., Valeš F., Červ J. Numerical Laplace inversion in problems of elastodynamics: Comparison of four algorithms. Advances in Engineering Software113, 120-129, 2017. Source
Červ J., Adámek V., Valeš F., Gabriel D., Plešek J. Wave motion in a thick cylindrical rod undergoing longitudinal impact. Wave Motion66, 88-105, 2016. Source
Červ J., Plešek J. Implicit and explicit secular equations for Rayleigh waves in two-dimensional anisotropic media. Wave Motion50(7): 1105-1117, 2013. Source
Červ J., Kroupa T., Trnka J. Influence of principal material directions of thin orthotropic structures on Rayleigh-edge wave velocity. Composite Structures92(2): 568-577, 2010. Source
FEM in wave propagation and Dispersion analysis
Sorokin S., Kolman R., Kopačka J. The boundary integral equations method for analysis of high-frequency vibrations of an elastic layer. Archive of Applied Mechanics87(4): 737-750, 2017. Source
Kolman R., Plešek J., Červ J., Okrouhlík M., Pařík P. Temporal-spatial dispersion and stability analysis of finite element method in explicit elastodynamics. International Journal for Numerical Methods in Engineering106(2), 113-128, 2016. Source
Kolman R., Cho S.S., Park K.C. Efficient implementation of an explicit partitioned shear and longitudinal wave propagation algorithm. International Journal for Numerical Methods in Engineering107(7): 543-579, 2016. Source
Kolman R., Berezovski A., Blažek J., Cho S.S., Gabriel D., Kopačka J., Plešek J. Comparative study of finite element method, isogeometric analysis, and finite volume method in one-dimensional elastic wave propagation. Appear to Computational Mechanics 2014.
Kolman R., Plešek J., Okrouhlík M. Complex wavenumber Fourier analysis of the B-spline based finite element method. Wave Motion51(2), 348-359, 2014. Source
Okrouhlík M. Dispersion and time integration schemes in finite-element analysis - a practical pictorial manual. International Journal of Mechanical Engineering Education41(1), 44-71, 2013. Source
Kolman R., Plešek J., Okrouhlík M., Gabriel D. Grid dispersion analysis of plane square biquadratic serendipity finite elements in transient elastodynamics. International Journal for Numerical Methods in Engineering96(1), 1-28, 2013. Source
Kolman R., Cho S.S., Park K.C. Non-spurious oscillations time integration method in finite element analysis of non-linear wave propagation of stress discontinuities. In 4rd ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering COMPDYN 2013 Eds. PAPADRAKAKIS, M. - PAPADOPOULOS, V. - PLEVRIS, Kos, Greece, June 12-14, 2013, CD-ROM.
Plešek J., Kolman R., Gabriel D. Dispersion Error of Finite Element Discretizations in Elastodynamics. Computational Technology Reviews1, 251-279, 2010. Source
Gabriel D., Plešek J., Kolman R., Valeš F. Dispersion of elastic waves in the contact-impact problem of a long cylinder. Journal of Computational and Applied Mathematics234(6): 1930-1936, 2010. Source
Okrouhlík M., Pták S. Pollution-free energy production by a proper misuse of finite element ahalysis. Engineering Computations20(5/6): 601-610, 2003.
Lundberg B., Okrouhlík M.. Approximate transmission equivalence of elastic bar transitions under 3-D conditions. Journal of Sound and Vibration256(5): 940-954, 2001. Source
Isogeometric analysis
Kolman R., Okrouhlík M., Berezovski A., Gabriel D., Kopačka J., Plešek J. B-spline based finite element method in one-dimensional discontinuous elastic wave propagation. Applied Mathematical Modelling46: 382-395, 2017. Source
Kolman R., Sorokin S.V., Bastl B., Kopačka J., Plešek J. Isogeometric analysis of free vibration of simple shaped elastic samples, Journal of the Acoustical Society of America137(4): 2089-2100, 2015. Source
Kolman R., Plešek J., Okrouhlík M. Complex wavenumber Fourier analysis of the B-spline based finite element method. Wave Motion51(2), 348-359, 2014. Source
Kolman R. Isogeometric free vibration of elastic block. Engineering Mechanics19(4): 279-291, 2012.
Numerical methods and Solvers
González J.A., Kolman R., Cho S.S., Park K.C. International Journal for Numerical Methods in Engineering113(2): 277-295, 2018. Source
Pařík P., Plešek J. Sparse direct solver for large finite element problems based on the minimum degree algorithm. Advances in Engineering Software113: 2-6, 2017. Source
Plasticity
Welling C.A., Marek R., Feigenbaum H.P., Dafalias Y.F., Plešek J., Hrubý Z., Parma S. Numerical convergence in simulations of multiaxial ratcheting with directional distortional hardening. International Journal of Solids and Structures126-127: 105-121, 2017. Source
Marek R., Plešek J. Hrubý Z., Parma S., Feigenbaum H., Dafalias Y. Numerical Implementation of a Model with Directional Distortional Hardening. J. Eng. Mech. 10.1061/(ASCE)EM.1943-7889.0000954, 04015048, 2015. Source
Parma S., Plešek J., Hrubý Z. Marek R., Feigenbaum H., Dafalias Y. Analysis and calibration of a simple directional distortional hardening model for metal plasticity. Appear to International Journal of Plasticity 2014.
Feigenbaum H. P., Dugdale J., Dafalias Y.F., Kourousis K. I., Plešek J. Multiaxial ratcheting with advanced kinematic and directional distortional hardening rules. International Journal of Solids and Structures49(22): 3063-3076, 2012. Source
Plešek J., Feigenbaum H. P., Dafalias Y.F. Convexity of Yield Surface with Directional Distortional Hardening Rules. Journal of Engineering Mechanics-ASCE136(4): 477-484, 2010. Source
Feigenbaum H. P., Plešek J., Dafalias Y.F. A Simple Model for Directional Distortional Hardening in Metal Plasticity with a Convex Yield Surface. Proceedings 22nd Canadian Congress of Applied Mechanics. Halifax, Nova Scotia: Dalhousie University, 2009 - (Militzer, J.; Kalamkarov, A.).
Hrubý Z., Plešek J., Tin S. Finite element Investigation of the Elastic-Plastic Response Underneath Various Indentors and its Application in Ni-Based Alloys Indentation Processes. Computational Plasticity X. Fundamentals and Applications. Barcelona. Technical University of Catalonia, 2009.
Hlaváček I., Plešek J., Gabriel D. Validation and sensitivity study of an elastoplastic problem using the Worst Scenario Method. Computer Methods in Applied Mechanics and Engineering195: 763-774, 2006. Source
Contact-impact problems and Domain decomposition methods
Kopačka J., Tkachuk A., Gabriel D., Kolman R., Bischoff M., Plešek J. On stability and reflection‐transmission analysis of the bipenalty method in contact‐impact problems: A one‐dimensional, homogeneous case study. International Journal for Numerical Methods in Engineering113(10), 1607-1629, 2018. Source
Kopačka J., Gabriel D., Plešek J., Ulbin M. Assessment of methods for computing the closest point projection, penetration, and gap functions in contact searching problems. International Journal for Numerical Methods in Engineering105(11), 803-833, 2016. Source
Gabriel D., Plešek J., Kolman R., Valeš F. Dispersion of elastic waves in the contact-impact problem of a long cylinder. Journal of Computational and Applied Mathematics234(6): 1930-1936, 2010. Source
Dobiáš J., Pták S., Dostál Z., Vondrák V. Total FETI based algorithm for contact problems with additional non-linearities. Advances in Engineering Software41(1): 46-51, 2010. Source
Dostál Z., Horák D., Kučera R., Vondrák V., Haslinger J., Dobiáš J., Pták S. FETI based algorithms for contact problems: scalability, large displacements and 3D Coulomb friction. Computer Methods in Applied Mechanics and Engineering194(2-5): 395-409, 2005. Source
Gabriel D., Plešek J., Ulbin M. Symmetry preserving algorithm for large displacement frictionless contact by the pre-discretization penalty method. International Journal for Numerical Methods in Engineering61(15): 2615-2638, 2004. Source
Large deformations
Plešek J., Kruisová A. Formulation, validation and numerical procedures for Hencky´s elasticity model. Computers & Structures84(17-18): 1141-1150, 2006. Source
Poživilová A., Plešek J. Tangent moduli of the Hencky material model derived from the stored energy function at finite strains. Materials Science Forum482: 327-330, 2005. Source
Molecular dynamic simulations and Fracture mechanics
Machová A., Uhnáková A., Hora P. Growth of 3D edge cracks in mode I and T-stress on the atomistic level. Computational Materials Science138: 315-322, 2017. Source
Landa M., Machová A., Uhnáková A., Pokluda J., Lejček P. Crack growth in Fe–2.7 wt% Si single crystals under cyclic loading and 3D atomistic results in bcc iron. International Journal of Fatigue87: 63-70, 2016. Source
Uhnáková A., Machová A., Hora P., Červená O. Growth of a brittle crack (001) in 3D bcc iron crystal with a Cu nano-particle. Computational Materials Science83: 229-234, 2014. Source
Machová A., Pokluda J., Uhnáková A., Hora P. 3D atomistic studies of fatigue behaviour of edge crack (0 0 1) in bcc iron loaded in mode I and II. International Journal of Fatigue66: 11-19, 2014. Source
Uhnáková A., Pokluda J., Machová A., Hora P. 3D atomistic simulation of fatigue behavior of a ductile crack in bcc iron loaded in mode II. Computational Materials Science61:12-19, 2012.
Uhnáková A., Machová A., Hora P. 3D atomistic simulation of fatigue behavior of a ductile crack in bcc iron. International Journal of Fatigue33(9): 1182-1188, 2011.
Uhnáková A., Pokluda J., Machová A., Hora P. 3D atomistic simulation of fatigue behaviour of cracked single crystal of bcc iron loaded in mode III. International Journal of Fatigue33(12): 1564-1573, 2011.
Uhnáková A., Machová A., Hora P., Červ J., Kroupa T. Stress wave radiation from the cleavage crack extension in 3D bcc iron crystals. Computational Materials Science50(2): 678-685, 2010. Source
Prahl J., Machová A., Spielmannová A., Karlík M., Landa M., Haušild P., Lejček P. Ductile-brittle behavior at the (110)[001] crack in bcc iron crystals loaded in mode I. Engineering Fracture Mechanics77(2): 184-192, 2010.
Spielmannová A., Machová A., Hora P. Transonic twins in 3D bcc iron crystal. Computational Materials Science48(2): 296-302, 2010.
Spielmannová A., Machová A., Hora P. Crack-induced stress, dislocations and acoustic emission by 3-D atomistic simulation in bcc iron. Acta Materialia57(14): 4065-4073, 2009.
Machová A., Spielmannová A., Hora P. 3D atomistic simulation of the interaction between a ductile crack and a Cu nanoprecipitate. Modelling and Simulation in Materials Science and Engineering17(3): 1-19, 2009.
Hora P., Pelikán V., Machová A., Spielmannová A., Prahl J., Landa M., Červená O. Crack induced slip processes in 3D. Engineering Fracture Mechanics75: 3612-3623, 2008.
Prahl J., Machová A., Landa M., Haušild P., Karlík M., Spielmannová A., Clavel M., Haghi-Ashtiani P. Fracture of Fe-3wt.% Si single crystals. Materials Science and Engineering A-Structural materials462(1-2): 178-182, 2007.
Beltz E.G., Machová A. Reconciliation of continuum and atomistic models for the ductile versus brittle response of iron. Modelling and Simulation in Materials Science and Engineering15: 65-83, 2007. Source
Pelikán V., Hora P., Machová A., Landa, M. Ductile-brittle behavior of microcracks in 3D. Materials Science Forum482: 131-135, 2005.
Beltz G. E., Machová A. Effect of T-stress on dislocation emission in iron. Scripta Materialia50: 483-487, 2004.
Machová A., Beltz G. E. Ductile-brittle behavior of (001)[110] nano-cracks in bcc iron. Materials Science and Engineering A-Structural materials387-389: 414-418, 2004.
da Silva K. D., Beltz G. E., Machová A. Tension-shear coupling in slip and decohesion of iron crystals. Scripta Materialia49: 1163-1167, 2003.
Machová A. Residual stress in Fe-Cu alloys at 0 and 600 K. Computational Materials Science24(4): 534-543, 2002.
Machová A. Britte-ductile behavior in bcc iron containing copper nano-particles. Materials Science and Engineering A-Structural materials319: 574-577, 2001.
Machová A. Stress calculations on the atomistic level. Modelling and Simulation in Materials Science and Engineering9: 327-337, 2001.
Červ J., Landa M., Machová A. Transonic twinning from the crack tip. Scripta Materialia43(5): 423-428, 2000.
Computational fluid dynamics
Šístek J., Novotný J., Mandel J., Čertíková M., Burda P. BDDC by a frontal solver and the stress computation in a hip joint replacement. Mathematics and Computers in Simulation80(6): 1310-1323, 2010.
Burda P., Novotný J., Šístek J. Accuracy of semi-GLS stabilization of FEM for solving Navier-Stokes equations and a posteriori error estimates. International Journal for Numerical Methods in Fluids56(8): 1167-1173, 2008.
Burda P., Novotný J., Šístek J. Numerical solution of flow problems by stabilized finite element method and verification of its accuracy using a posteriori error estimates. Mathematics and Computers in Simulation76(1-3): 28-33, 2007.
Burda P., Novotný J., Šístek J. Finite element solution of Navier-Stokes equations adapted to a priori error estimates. WSEAS Transactions on Mathematics5(1): 188-195, 2006.
Burda P., Novotný J., Šístek J. On a modification of GLS stabilized FEM for solving incompressible viscous flows. International Journal for Numerical Methods in Fluids51(9-10): 1001-1016, 2006.
Burda P., Novotný J., Šístek J. Stabilization of FEM for incompressible flows by modified GLS algorithm. International Journal for Numerical Methods in Fluids47(1): 1285-1292, 2005.
Burda P., Novotný J., Sousedík B. A posteriori error estimates applied to flow in a channel with corners. Mathematics and Computers in Simulation61(3-6): 375-383, 2003.
Shock waves
Hirsch E., Plešek J. A theoretical analysis of experimental results of shock wave loading of OFE copper relating the observed internal structure to the deformation mechanism. International Journal of Impact Engineering32: 1339-1356, 2006. Source
Okrouhlík M., Lundberg B. Influence of 3D effects on the efficiency of percussive rock drilling. International Journal of Impact Engineering25: 345-360, 2001. Source
Resonant ultrasound spectroscopy
Kolman R., Sorokin S., Bastl B., Kopačka J., Plešek J. Isogeometric analysis of free vibration of simple shaped elastic samples. Journal of the Acoustical Society of America137(4), 2015. Source
Kolman R., Plešek J., Landa M. Finite Element Computational Technology Resonant Ultrasound Spectroscopy of Composite Materials. Materials Science Forum482: 343-346, 2005. Source
Plešek J., Kolman R., Landa M. Using finite element method for the determination of elastic moduli by resonant ultrasound spectroscopy. Journal of the Acoustical Society of America116(1): 282-287, 2004. Source
Density functional theory and Electronic structure calculations
Cimrman R., Novák M., Kolman R., Tůma M., Plešek J., Vackář J. Isogeometric analysis in electronic structure calculations. Mathematics and Computers in Simulation145:125-135, 2018. Source
Cimrman R., Novák M., Kolman R., Tůma M., Plešek J., Vackář J. Convergence study of isogeometric analysis based on Bézier extraction in electronic structure calculations. Applied Mathematics and Computation319:138-152, 2018. Source
Kolman R., Okrouhlík M., Berezovski A., Gabriel D., Kopačka J., Plešek J. B-spline based finite element method in one-dimensional discontinuous elastic wave propagation. Applied Mathematical Modelling46: 382-395, 2017. Source
Vackář J., Čertík O., Cimrman R., Novák M., Šipr O., Plešek J. Finite Element Method in Density Functional Theory Electronic Structure Calculations. In Advances in the Theory of Quantum Systems in Chemistry and Physics pp. 199-217, Springer Netherlands. 2012.
Čertík O., Vackář J., Plešek J. Density functional theory calculations using the finite element method. Proceedings of the Estonian Academy of Sciences. 57(3): 155-178, 2008. Source
Sprayed materials
Kroupa F., Plešek J. Nonlinear elastic behavior in compression of thermally sprayed materials. Materials Science and Engineering A-Structural materials328(1): 1-7, 2002. Source
Creep
Plešek J., Korouš J. Explicit integration method with time step control for viscoplasticity and creep. Advances in Engineering Software33(7-10): 621-630, 2002. Source