Effective Factorisation techniques for matrix-functions: Developing theory, numerical methods and impactful applications

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Publications

Can we really solve an arch stability problem?

Author(s): Chróścielewski, J., Eremeyev, V.A.,
Published in: International Journal of Engineering Science, Issue 194, 2024, Page(s) 103968, ISSN 0020-7225
Publisher: Elsevier BV
DOI: 10.1016/j.ijengsci.2023.103968

On a 3D material modelling of smart nanocomposite structures

Author(s): Malikan, M., Dastjerdi, S., Eremeyev, V.A. and Sedighi, H.M.
Published in: International Journal of Engineering Science, Issue 193, 2023, Page(s) 103966, ISSN 0020-7225
Publisher: Elsevier BV
DOI: 10.1016/j.ijengsci.2023.103966

Spectrum-Based Logistic Regression Modeling for the Sea Bottom Soil Categorization

Author(s): V. Frid, U. Kushnir
Published in: Applied Science, Issue 13(14), 2023, Page(s) 8131, ISSN 2076-3417
Publisher: mdpi
DOI: 10.3390/app13148131

A Case Study of the Integration of Ground-Based and Drone-Based Ground-Penetrating Radar (GPR) for an Archaeological Survey in Hulata (Israel): Advancements, Challenges, and Applications

Author(s): Michael Frid, Vladimir Frid
Published in: Applied Sciences, Issue 14, 2024, Page(s) 4280, ISSN 2076-3417
Publisher: MDPI
DOI: 10.3390/app14104280

Atomic force microscopy-based indentation of cells: modelling the effect of a pericellular coat

Author(s): Ivan Argatov, Xiaoqing Jin, Gennady Mishuris
Published in: Journal of the Royal Society Interface, Issue 20(199), 2023, Page(s) 20220857, ISSN 1742-5662
Publisher: The Royal Society
DOI: 10.1098/rsif.2022.0857

Critical Insights into White and Yellow Light Marks on Various Asphalt Pavements: A Comparative Analysis

Author(s): Wafa Elias, Moamar Abu Ahmad, Vladimir Frid
Published in: Buildings, Issue 14, 2024, Page(s) 2525, ISSN 2075-5309
Publisher: MDPI
DOI: 10.3390/buildings14082525

Interaction of in-plane waves with a structured penetrable line defect in an elastic lattice

Author(s): M.J. Nieves; B.L. Sharma
Published in: International Journal of Engineering Sciences, Issue 197, 2024, Page(s) 104011, ISSN 0020-7225
Publisher: Elsevier BV
DOI: 10.1016/j.ijengsci.2023.104011

Mesoscale Asymptotic Approximations in the Dynamics of Solids with Defects

Author(s): V. Maz'ya, M. J. Nieves, A. B. Movchan
Published in: Journal of Mathematical Sciences, Issue 268,, 2022, Page(s) 443-457, ISSN 1072-3374
Publisher: Plenum Publishers
DOI: 10.1007/s10958-022-06214-y

Strong ellipticity within the Toupin–Mindlin first strain gradient elasticity theory.

Author(s): V. A. Eremeyev, M. Lazar
Published in: Mechanics Research Communications, Issue 124, 2022, Page(s) 103944, ISSN 0093-6413
Publisher: Pergamon Press
DOI: 10.1016/j.mechrescom.2022.103944

A mechanical model for thin sheet straight cutting in the presence of an elastic support

Author(s): Timofei Shugailo, Andrea Nobili, Gennady Mishuris
Published in: International Journal of Engineering Science, Issue 193, 2023, Page(s) 103964, ISSN 0020-7225
Publisher: Elsevier BV
DOI: 10.1016/j.ijengsci.2023.103964

Multi-parameter analysis of the obstacle scattering problem

Author(s): Matteo Dalla Riva, Paolo Luzzini, Paolo Musolino
Published in: Inverse Problems, Issue 38, 055004, 2022, Page(s) 17 pp., ISSN 0266-5611
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6420/ac5eea

The Comminution of Chert Gravel by Microwave Irradiation

Author(s): Mark Tzibulsky, Vladimir Frid
Published in: Resources, Issue 13, 2024, Page(s) 63, ISSN 2079-9276
Publisher: MDPI
DOI: 10.3390/resources13050063

An explicit Wiener-Hopf factorization algorithm for matrix polynomials and its exact realizations within ExactMPF package.

Author(s): Victor Adukov; Natalia Adukova; Gennady Mishuris
Published in: Proceedings of the Royal Society A, Issue 478, 2022, ISSN 1471-2946
Publisher: Royal Society London
DOI: 10.1098/rspa.2021.0941

A temporal averaging–based approach to toughness homogenisation in heterogeneous material

Author(s): Gaspare Da Fies; Daniel Peck; Martin Dutko; Gennady Mishuris
Published in: Mathematics and Mechanics of Solids, Issue 1, 2022, ISSN 1081-2865
Publisher: SAGE Publications
DOI: 10.1177/10812865221117553

Interaction of scales for a singularly perturbed degenerating nonlinear Robin problem

Author(s): Paolo Musolino, Gennady Mishuris
Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Issue 380, 2022, Page(s) 2236, ISSN 1364-503X
Publisher: Royal Society of London
DOI: 10.1098/rsta.2022.0159

Anti-plane waves in an elastic thin strip with surface energy.

Author(s): Mikhasev, G., Botogova, M., & Eremeev, V.
Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Issue 380, 2022, Page(s) 1-15, ISSN 1364-503X
Publisher: Royal Society of London
DOI: 10.1098/rsta.2021.0373

Insights into the Dead Sea Transform Activity through the study of Fracture-induced Electromagnetic radiation (FEMR) signals before the Syrian-Turkey earthquake (Mw-6.3) on 20.2.2023.

Author(s): Das S. Frid, V., Rabinovitch, A., Bahat, D., Kushnir, U
Published in: Scientific reports, Issue 14, 2024, Page(s) 4579, ISSN 2045-2322
Publisher: Nature Publishing Group
DOI: 10.1038/s41598-024-54935-8

Hidden ring crack in a rotating cylindrical shell under torsion

Author(s): Zhuravlova, Zinaida; Istenes, Igor; Peck, Daniel; Protserov, Yuriy; Vaysfeld, Nataly
Published in: International Journal of Engineering Science, Issue 194, 2024, Page(s) 103976, ISSN 0020-7225
Publisher: Elsevier BV
DOI: 10.1016/j.ijengsci.2023.103976

Shape analyticity and singular perturbations for layer potential operators

Author(s): Matteo Dalla Riva, Paolo Luzzini, Paolo Musolino
Published in: ESAIM Math. Model. Numer. Anal., Issue 28227840, 2022, Page(s) 1889–1910, ISSN 2822-7840
Publisher: EDP Sci
DOI: 10.1051/m2an/2022057

On dynamics of origami-inspired rod. International Journal of Engineering Science

Author(s): Berinskii, I. Eremeyev, V.A
Published in: International Journal of Engineering Science, Issue 193, 2023, Page(s) 103944, ISSN 0020-7225
Publisher: Elsevier BV
DOI: 10.1016/j.ijengsci.2023.103944

Ellipticity in couple-stress elasticity

Author(s): Eremeyev, V.A., Scerrato, D. Konopińska-Zmysłowska, V.
Published in: Zeitschrift für angewandte Mathematik und Physik, Issue 74(18), 2023, ISSN 0044-2275
Publisher: Birkhauser Verlag
DOI: 10.1007/s00033-022-01913-7

Singular behavior for a multi-parameter periodic Dirichlet problem

Author(s): M. Dalla Riva, P. Luzzini, P. Musolino
Published in: Asymptotic Analysis, Issue 134(1-2), 2023, Page(s) 193-212, ISSN 0921-7134
Publisher: IOS Press
DOI: 10.3233/asy-231831

Vital Views into Drone-Based GPR Application: Precise Mapping of Soil-to-Rock Boundaries and Ground Water Level for Foundation Engineering and Site-Specific Response

Author(s): Michael Frid, Vladimir Frid
Published in: Applied Sciences, Issue 14, 2024, Page(s) 7889, ISSN 2076-3417
Publisher: MDPI
DOI: 10.3390/app14177889

Forcing the silence of the Lamb waves: Uni-directional propagation in structured gyro-elastic strips and networks

Author(s): Authors: G. Carta, M.J. Nieves, M. Brun Journal Data: Eur. J. Mec. A-Solid 101, 105070, (2023)
Published in: European Journal of Mechanics - A/Solids, Issue 101, 2023, Page(s) 105070, ISSN 0997-7538
Publisher: Elsevier BV
DOI: 10.1016/j.euromechsol.2023.105070

On nonlinear rheology of masonries and granular media

Author(s): Emanuele Reccia, Victor A. Eremeyev
Published in: International Journal of Engineering Science, Issue Volume 198, 1 May 2024, 104053, 2024, ISSN 0020-7225
Publisher: Elsevier BV
DOI: 10.1016/j.ijengsci.2024.104053

Lamb waves in discrete homogeneous and heterogeneous systems: Dispersion properties, asymptotics and non-symmetric wave propagation

Author(s): Carta, G., Nieves, M.J., Brun, M
Published in: European Journal of Mechanics-A/Solids, Issue 100, 2023, Page(s) 10469, ISSN 0997-7538
Publisher: Elsevier BV
DOI: 10.1016/j.euromechsol.2022.104695

Low-frequency vibrations of a high-contrast orthotropic lattice

Author(s): Igor V. Andrianov, Vladyslav V. Danishevskyy, Julius Kaplunov
Published in: Mechanics Research Communications, Issue 144, 2025, Page(s) 104386, ISSN 0093-6413
Publisher: Pergamon Press
DOI: 10.1016/j.mechrescom.2025.104386

Asymptotic analysis of in-plane dynamic problems for elastic media with rigid clusters of small inclusions

Author(s): M.J. Nieves, A.B. Movchan
Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Issue 380, 2023, Page(s) 20210392, ISSN 1364-503X
Publisher: Royal Society of London
DOI: 10.1098/rsta.2021.0392

Multi-parameter perturbations for the space-periodic heat equation

Author(s): Riva, Matteo Dalla; Luzzini, Paolo; Molinarolo, Riccardo; Musolino, Paolo
Published in: Communications on Pure and Applied Analysis, Issue 23(2), 2024, Page(s) 144-164, ISSN 1534-0392
Publisher: American Institute of Mathematical Sciences
DOI: 10.3934/cpaa.2024004

Fracture electromagnetic radiation induced by a seismic active zone (in the vicinity of Eilat City, Southern Israel)

Author(s): V. Frid, A. Rabinovitch, D. Bahat, U. Kushnir Fracture electromagnetic radiation induced by a seismic active zone (in the vicinity of Eilat City, Southern Israel).
Published in: Remote Sensing, Issue 14(14), 2023, Page(s) 3639, ISSN 2072-4292
Publisher: Multidisciplinary Digital Publishing Institute (MDPI)
DOI: 10.3390/rs15143639

Minimal surfaces and conservation laws for bidimensional structures.

Author(s): Eremeyev, V.A.
Published in: Mathematics and Mechanics of Solids, Issue 28(1), 2023, Page(s) 380-393, ISSN 1081-2865
Publisher: SAGE Publications
DOI: 10.1177/108128652211083

ON J‑UNITARY MATRIX POLYNOMIALS

Author(s): Lasha Ephremidze, Aleksandre Saatashvili, and Ilya M. Spitkovsky
Published in: Journal of Mathematical Sciences, Issue 9, 2022, Page(s) 14, ISSN 1072-3374
Publisher: Plenum Publishers
DOI: 10.1007/s10958-022-05878-w

On the Parameter Problem of the Schwarz–Christoffel Mapping and Moduli of Quadrilaterals.

Author(s): Giorgadze, G., Kakulashvili, G.
Published in: Computational Methods and Function Theory, 2023, ISSN 1617-9447
Publisher: Springer Verlag
DOI: 10.1007/s40315-022-00476-y

A degenerating Robin-type traction problem in a periodic domain

Author(s): Matteo Dalla Riva, Gennady Mishuris, and Paolo Musolino
Published in: Math. Model. Anal., Issue 28(3), 2023, Page(s) 509–521, ISSN 1392-6292
Publisher: Vilnius Gediminas Technical University
DOI: 10.3846/mma.2023.17681

Features of the Physical-Mechanical Properties and Chemical Composition of Chert Gravels

Author(s): Mark Tzibulsky and Vladimir Frid
Published in: Minerals, Issue 13(4), 2023, Page(s) 455, ISSN 2075-163X
Publisher: MDPI
DOI: 10.3390/jmse10121923

On crack propagation in weak geomaterials: Revisiting the superdislocation model in the context of hydraulic fracture

Author(s): M Wrobel, M Dutko, G Mishuris, P Papanastasiou
Published in: International Journal of Engineering Science, Issue 191, 2023, Page(s) 103878, ISSN 0020-7225
Publisher: Elsevier BV
DOI: 10.1016/j.ijengsci.2023.103878

Asymptotic analysis of perturbed Robin problems in a planar domain

Author(s): Paolo Musolino, Martin Dutko, and Gennady Mishuris
Published in: Electron. J. Differential Equations, Issue Vol. 2023, No. 57, 2023, Page(s) 1-21, ISSN 1072-6691
Publisher: Texas State University - San Marcos
DOI: 10.58997/ejde.2023.57

Integral equation method for a Robin-type traction problem in a periodic domain

Author(s): Matteo Dalla Riva, Gennady Mishuris, and Paolo Musolino
Published in: Trans. A. Razmadze Math. Inst, Issue 176 (3), 2022, Page(s) 349-360, ISSN 2346-8092
Publisher: A. Razmadze Mathematical Institute of Iv. Javakhishvili Tbilisi State University

Utilization of the ExactMPF package for solving a discrete analogue of the nonlinear Schrödinger equation by the inverse scattering transform method

Author(s): Victor Adukov; Gennady Mishuris
Published in: Proceedings of the Royal Society A, Issue 479, 2023, Page(s) 20220144, ISSN 1471-2946
Publisher: Royal Society of London
DOI: 10.1098/rspa.2022.0144

Dynamic fracture regimes for initially prestressed elastic chains

Author(s): MJ Nieves, P Livasov, G Mishuris
Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Issue 380, 2022, Page(s) 20210392, ISSN 1364-503X
Publisher: Royal Society of London
DOI: 10.1098/rsta.2021.0395

Exploiting high-contrast Stokes preconditioners to efficiently solve incompressible fluid–structure interaction problems

Author(s): Michał Wichrowski, Piotr Krzyżanowski, Luca Heltai, Stanisław Stupkiewicz
Published in: International Journal for Numerical Methods in Engineering, Issue 124(24), 2023, Page(s) 5375-5615, ISSN 0029-5981
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/nme.7350

On the spectral factorization of singular, noisy, and large matrices by Janashia-Lagvilava method

Author(s): L. Ephremidze, A. Gamkrelidze, I. Spitkovsky
Published in: Transactions of A. Razmadze Mathematical Institute Vol. 176 (2022), issue 3, 361–366, Issue 176 (3), 2022, Page(s) 361–366, ISSN 2346-8092
Publisher: A. Razmadze Mathematical Institute, I. Javakhishvili Tbilisi State Universiry

Fuzzy sets application in the problems of structural mechanics and optimal design

Author(s): D. Volchok, V. Danishevskyy, S. Slobodianiuk & I. Kuchyn
Published in: Acta Mechanica, Issue 234, 2023, Page(s) 6191–6204, ISSN 0001-5970
Publisher: Springer Verlag
DOI: 10.1007/s00707-023-03713-0

Impact of the tangential traction for radial hydraulic fracture

Author(s): D. Peck; G. Da Fies
Published in: European Journal of Mechanics - A/Solids, Issue 100, 2023, Page(s) 104896, ISSN 0997-7538
Publisher: Elsevier BV
DOI: 10.48550/arxiv.2210.00046

The functional analytic approach for quasi-periodic boundary value problems for the Helmholtz equation

Author(s): Roberto Bramati; Matteo Dalla Riva; Paolo Luzzini; Paolo Musolino
Published in: Adv. Differential Equations, Issue 29(1-2), 2024, Page(s) 27–68, ISSN 1079-9389
Publisher: Khayyam Publishing, Inc.
DOI: 10.57262/ade029-0102-27

Asymptotic behavior of generalized capacities with applications to eigenvalue perturbations: the higher dimensional case

Author(s): Laura Abatangelo, Corentin Léna, and Paolo Musolino
Published in: Nonlinear Anal., Issue Vol. 238, Paper No. 113391, 2024, Page(s) 1-34, ISSN 0362-546X
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.na.2023.113391

On the mechanical role of intra-articular pressurization in damaged human joints

Author(s): G Vitucci, D De Tommasi, G Mishuris
Published in: European Journal of Mechanics-A/Solids, Issue 100, 2023, Page(s) 104866, ISSN 0997-7538
Publisher: Elsevier BV
DOI: 10.1016/j.euromechsol.2022.104866

Surface finite viscoelasticity and surface anti-plane waves

Author(s): Victor A. Eremeyev
Published in: International Journal of Engineering Science, Issue Volume 196, 1 March 2024, 104029, 2024, ISSN 0020-7225
Publisher: Elsevier BV
DOI: 10.1016/j.ijengsci.2024.104029

Note-on-exact-factorization-algorithm-for-matrix-polynomials

Author(s): V.M. Adukov, N.V. Adukova ,G. Mishuris
Published in: Bulletin of the South Ural State Univeristy. Ser. Mathematical Modelling, Programming & Computer Software, Issue 16(1), 2023, Page(s) 48-59, ISSN 2071-0216
Publisher: South Ural State University

On the factorization and partial indices of piecewise constant matrix functions.

Author(s): G. Giorgadze
Published in: Transactions of A. Razmadze Mathematical Institute, Issue 176 (3), 2022, Page(s) 367–372, ISSN 2346-8092
Publisher: A. Razmadze Mathematical Institute, I. Javakhishvili Tbilisi State Universiry

Meso-scale method of asymptotic analysis of elastic vibrations in periodic and non-periodic multi-structures

Author(s): M J Nieves, A B Movchan
Published in: The Quarterly Journal of Mechanics and Applied Mathematics, Issue 75(3), 2022, Page(s) 171-214, ISSN 0033-5614
Publisher: Oxford University Press
DOI: 10.1093/qjmam/hbac011

On rotary inertia of microstuctured beams and variations thereof

Author(s): Eremeyev, V.A., Elishakoff, I.
Published in: Mechanics Research Communications, Issue 135, 2024, Page(s) 104239, ISSN 0093-6413
Publisher: Pergamon Press
DOI: 10.1016/j.mechrescom.2023.104239

Diffraction of acoustic waves by multiple semi-infinite arrays

Author(s): M. A. Nethercote; A. V. Kisil; R. C. Assier
Published in: J. Acoust. Soc. Am, Issue 154, 2023, Page(s) 1493–1504, ISSN 0001-4966
Publisher: Acoustical Society of America
DOI: 10.1121/10.0020844

M-integral for finite anti-plane shear of a nonlinear elastic matrix with rigid inclusions

Author(s): Victor A. Eremeyev, Konstantin Naumenko
Published in: International Journal of Engineering Science, Issue Volume 196, 1 March 2024, 104009, 2024, ISSN 0020-7225
Publisher: Elsevier BV
DOI: 10.1016/j.ijengsci.2023.104009

AFM-based adhesive indentation of polymer brushes: A phenomenological approach

Author(s): Ivan Argatov, Xiaoqing Jin, Gennady Mishuris
Published in: International Journal of Adhesion and Adhesives, Issue 128, 2023, Page(s) 103555, ISSN 0143-7496
Publisher: Elsevier BV
DOI: 10.1016/j.ijadhadh.2023.103555

Hamiltonian/Stroh formalism for anisotropic media with microstructure

Author(s): A. Nobili, E. Radi
Published in: Proceedings of the Royal Society A, Issue 380, 2022, Page(s) 2231, ISSN 1364-503X
Publisher: Royal Society of London
DOI: 10.1098/rsta.2021.0374

Anti-plane shear waves in an elastic strip rigidly attached to an elastic half-space.

Author(s): Mikhasev, G., Erbaş, B. and Eremeyev, V.A.,
Published in: International Journal of Engineering Science, Issue 184, 2023, Page(s) 103809, ISSN 0020-7225
Publisher: Elsevier BV
DOI: 10.1016/j.ijengsci.2022.103809

Asymptotic Theory of Generalised Rayleigh Beams and the Dynamic Coupling

Author(s): M. J. Nieves, A. B. Movchan
Published in: Mechanics of High-Contrast Elastic Solids, Issue 187, 2023, Page(s) 173–200, ISBN 978-3-031-24140-6
Publisher: Springer
DOI: 10.1007/978-3-031-24141-3_11

A Perturbation Result for a Neumann Problem in a Periodic Domain

Author(s): Dalla Riva, Matteo; Luzzini, Paolo; Musolino, Paolo
Published in: Analysis, Applications, and Computations. ISAAC 2021. Trends in Mathematics, Issue 1, 2023, Page(s) 271–282, ISBN 978-3-031-36374-0
Publisher: Birkhäuser
DOI: 10.1007/978-3-031-36375-7_20

Averaging-Based Approach to Toughness Homogenisation for Radial Hydraulic Fracture.

Author(s): G. Da Fies, M. Dutko, D. Peck
Published in: Mechanics of Heterogeneous Materials. Advanced Structured Materials,, Issue 195, 2023, Page(s) 69-103, ISSN 1869-8433
Publisher: Springer
DOI: 10.1007/978-3-031-28744-2_5

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