Null Internal Controllability for a Kirchhoff–Love Plate with a Comb-Like Shaped Structure: Null internal controllability for a Kirchhoff-Love plate with a comb-like shaped structure

Authors: Umberto De Maio, Antonio Gaudiello, Catalin-George Lefter

Source: SIAM Journal on Control and Optimization. 62:2456-2474

Subject Terms: Hilbert uniqueness method, rough boundary, weak formulation, Control/observation systems governed by partial differential equations, limit control function, a priori control norm-estimate, asymptotic homogenization, Plates, Homogenization and oscillations in dynamical problems of solid mechanics, PDEs in connection with mechanics of deformable solids, Homogenization in context of PDEs, PDEs in media with periodic structure

File Description: application/xml

Access URL: https://hdl.handle.net/11588/971403
https://doi.org/10.1137/24M1647825
https://hdl.handle.net/11591/543851
https://doi.org/10.1137/24M1647825

Virtual clustering analysis for phase field model of quasi-static brittle fracture

Authors: Tang, Shaoqiang, Miao, Jingcheng

Source: Computational Mechanics. 74:875-888

Subject Terms: crack path, Finite element methods applied to problems in solid mechanics, Brittle fracture, Green function, Lippmann-Schwinger eqation, finite element method, representative volume element, Helmholtz equation, numerical homogenization, Homogenization and oscillations in dynamical problems of solid mechanics, reduced order modeling

File Description: application/xml

Micromechanical model of linear viscoelastic particle-reinforced composites with interphase

Authors: Yang Chen, Zhenqiang Zhao, Zaoyang Guo, Yulong Li

Source: Applied Mathematical Modelling. 97:308-321

Subject Terms: 0203 mechanical engineering, representative volume element (RVE), Micromechanics of solids, particle-reinforced composites, Linear constitutive equations for materials with memory, constitutive model, linear viscoelasticity, 02 engineering and technology, interphase, Homogenization and oscillations in dynamical problems of solid mechanics, 0210 nano-technology

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/pii/S0307904X21001876

A review of nonlinear FFT-based computational homogenization methods

Authors: Matti Schneider

Source: Acta Mechanica, 232, 2051–2100

Subject Terms: ddc:620, convergence, discretization scheme, granular material, 02 engineering and technology, 01 natural sciences, nonlinear solution method, crystal, dual scheme, fracture mechanics, 0203 mechanical engineering, Newton method, Spectral and related methods applied to problems in solid mechanics, nonlinear computational homogenization, Homogenization in equilibrium problems of solid mechanics, composite, 0101 mathematics, Homogenization and oscillations in dynamical problems of solid mechanics, 10. No inequality, Engineering & allied operations, Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids

File Description: application/xml; application/pdf

Access URL: https://link.springer.com/content/pdf/10.1007/s00707-021-02962-1.pdf
https://link.springer.com/content/pdf/10.1007/s00707-021-02962-1.pdf
https://link.springer.com/article/10.1007/s00707-021-02962-1
https://paperity.org/p/261110428/a-review-of-nonlinear-fft-based-computational-homogenization-methods
https://publikationen.bibliothek.kit.edu/1000131154/109196803
https://publikationen.bibliothek.kit.edu/1000131154
https://doi.org/10.5445/IR/1000131154

Multicontinuum homogenization. General theory and applications

Authors: Chung, E., Efendiev, Y., Galvis, J., Leung, W. T.

Source: Journal of Computational Physics. 510:112980

Subject Terms: upscaling, homogenization, Numerical Analysis (math.NA), 01 natural sciences, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), multicontinuum, porous media, multiscale, mixture theory, 0103 physical sciences, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, Homogenization in equilibrium problems of solid mechanics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Mathematics - Numerical Analysis, 0101 mathematics, Homogenization and oscillations in dynamical problems of solid mechanics, Finite element methods applied to problems in fluid mechanics

File Description: application/xml

Access URL: http://arxiv.org/abs/2309.08128
https://zbmath.org/8021023
https://doi.org/10.1016/j.jcp.2024.112980

Micromorphic computational homogenization for mechanical metamaterials with patterning fluctuation fields

Authors: O. Rokoš, M.M. Ameen, R.H.J. Peerlings, M.G.D. Geers

Source: Journal of the Mechanics and Physics of Solids

Subject Terms: Micromorphic continuum, Computational homogenization, computational homogenization, FOS: Physical sciences, micromorphic continuum, 02 engineering and technology, Mechanical metamaterials, Condensed Matter - Soft Condensed Matter, 01 natural sciences, non-linear homogenization, 0203 mechanical engineering, Micromechanical theories, Soft Condensed Matter (cond-mat.soft), mechanical metamaterials, 0101 mathematics, Non-linear homogenization, Homogenization and oscillations in dynamical problems of solid mechanics

File Description: application/xml

Access URL: http://arxiv.org/abs/1810.11069
https://research.tue.nl/en/publications/21aad141-7a9e-4220-a908-406320ebb15d
https://doi.org/10.1016/j.jmps.2018.08.019
https://research.tue.nl/en/publications/micromorphic-computational-homogenization-for-mechanical-metamate
https://www.sciencedirect.com/science/article/pii/S0022509618306148
https://arxiv.org/pdf/1810.11069.pdf
https://arxiv.org/abs/1810.11069
https://www.narcis.nl/publication/RecordID/oai%3Apure.tue.nl%3Apublications%2F21aad141-7a9e-4220-a908-406320ebb15d
https://ui.adsabs.harvard.edu/abs/2019JMPSo.123..119R/abstract

On free vibrations of a thick periodic junction with concentrated masses on the fine rods

Authors: Mel'nyk, T. A.

Subject Terms: Junctions, asymptotic behavior of the eigenvalues and eigenfunctions, Vibrations in dynamical problems in solid mechanics, Asymptotic distributions of eigenvalues in context of PDEs, Laplace operator in a plane thick periodic junction, PDEs in connection with mechanics of deformable solids, Homogenization and oscillations in dynamical problems of solid mechanics, Homogenization in context of PDEs, PDEs in media with periodic structure

File Description: application/xml

Access URL: https://zbmath.org/1535410
http://dspace.nbuv.gov.ua/handle/123456789/177270

Mathematical homogenization of inelastic dissipative materials: a survey and recent progress

Authors: Charalambakis, Nicolas, Chatzigeorgiou, Georges, Chemisky, Yves, Meraghni, Fodil

Contributors: Administrateur Ensam, Compte De Service, Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux (LEM3)

Source: Continuum Mechanics and Thermodynamics. 30:1-51

Subject Terms: Homogenization, inelastic composites, homogenization, dissipation, Sciences de l'ingénieur: Mécanique: Mécanique des matériaux, Inelastic composites, 01 natural sciences, [SPI.MECA.MEMA] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of materials [physics.class-ph], Dissipation, Sciences de l'ingénieur: Mécanique: Mécanique des solides, [SPI.MECA.SOLID] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Solid mechanics [physics.class-ph], Homogenization in equilibrium problems of solid mechanics, Composite and mixture properties, 0101 mathematics, Homogenization and oscillations in dynamical problems of solid mechanics, Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids

File Description: application/xml; application/pdf

Access URL: https://hal.archives-ouvertes.fr/hal-02390365/file/LEM3_CMT_2018_CHATZIGEORGIOU.pdf
https://zbmath.org/6915480
https://doi.org/10.1007/s00161-017-0587-5
https://link.springer.com/article/10.1007%2Fs00161-017-0587-5
https://sam.ensam.eu/handle/10985/17521
https://ui.adsabs.harvard.edu/abs/2018CMT....30....1C/abstract
https://hal.archives-ouvertes.fr/hal-02390365/document
https://hal.archives-ouvertes.fr/hal-02390365
https://hal.science/hal-02390365v1/document
https://hal.science/hal-02390365v1
https://doi.org/10.1007/s00161-017-0587-5
http://hdl.handle.net/10985/17521

An asymptotic model for the deformation of a transversely isotropic, transversely homogeneous biphasic cartilage layer

Authors: Vitucci G., Argatov I., Mishuris G.

Source: Mathematical Methods in the Applied Sciences

Subject Terms: thin layer, 0206 medical engineering, FOS: Physical sciences, Quantitative Biology - Tissues and Organs, asymptotic model, 02 engineering and technology, Condensed Matter - Soft Condensed Matter, Contact in solid mechanics, 03 medical and health sciences, 0302 clinical medicine, FOS: Biological sciences, Soft Condensed Matter (cond-mat.soft), Biomechanics, articular cartilage, biphasic inhomogeneous anisotropic material, Homogenization and oscillations in dynamical problems of solid mechanics, Tissues and Organs (q-bio.TO)

File Description: application/xml

Access URL: http://arxiv.org/pdf/1511.09379
http://arxiv.org/abs/1511.09379
https://arxiv.org/pdf/1511.09379
http://ui.adsabs.harvard.edu/abs/2017MMAS...40.3333V/abstract
https://onlinelibrary.wiley.com/doi/10.1002/mma.3895

Formulation and numerical implementation of a variationally consistent multi-scale model based on second-order computational homogenisation at finite strains for quasi-static problems

Authors: Igor A. Rodrigues Lopes, Francisco M. Andrade Pires

Source: Computer Methods in Applied Mechanics and Engineering. 392:114714

Subject Terms: second-order computational homogenisation, method of multi-scale virtual power, Finite element methods applied to problems in solid mechanics, 0203 mechanical engineering, multi-scale, finite strains, finite element method, 02 engineering and technology, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 0101 mathematics, Homogenization and oscillations in dynamical problems of solid mechanics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/7526019
https://doi.org/10.1016/j.cma.2022.114714

Wave propagation and energy exchange in a spatio-temporal material composite with rectangular microstructure

Authors: Konstantin A. Lurie, Suzanne L. Weekes

Source: Journal of Mathematical Analysis and Applications. 314:286-310

Subject Terms: Rectangular microstructure, limit cycles, Bulk waves in solid mechanics, Applied Mathematics, Dynamic grating, Micromechanics of solids, spatio-temporal, Topological structure of integral curves, singular points, limit cycles of ordinary differential equations, Composite, 01 natural sciences, dynamic grating, Limit cycles, Spatio-temporal, composite, Composite and mixture properties, 0101 mathematics, Homogenization and oscillations in dynamical problems of solid mechanics, rectangular microstructure, Analysis

File Description: application/xml

Access URL: https://zbmath.org/2240037
https://doi.org/10.1016/j.jmaa.2005.03.093
https://core.ac.uk/display/82065754
https://www.sciencedirect.com/science/article/pii/S0022247X05002994
https://ui.adsabs.harvard.edu/abs/2006JMAA..314..286L/abstract
https://users.wpi.edu/~sweekes/KL/checkerboard.pdf

Wave Attenuation in Effective Models Describing Porous and Fractured Media Saturated by a Fluid: Wave attenuation in effective models describing porous and fractured media saturated by a fluid

Authors: L. A. Molotkov

Source: Journal of Mathematical Sciences. 127:2461-2468

Subject Terms: Seismology (including tsunami modeling), earthquakes, 0203 mechanical engineering, Waves in solid mechanics, Flows in porous media, filtration, seepage, 0103 physical sciences, 02 engineering and technology, Homogenization and oscillations in dynamical problems of solid mechanics, 01 natural sciences, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)

File Description: application/xml

Access URL: https://zbmath.org/2214110
https://doi.org/10.1007/s10958-005-0194-z
https://link.springer.com/article/10.1007/s10958-005-0194-z

The Gap-Tooth Scheme for Homogenization Problems: The gap-tooth scheme for homogenization problems

Authors: Ioannis G. Kevrekidis, Dirk Roose, Giovanni Samaey

Source: Multiscale Modeling & Simulation. 4:278-306

Subject Terms: reaction-convection-diffusion problem, gap-tooth scheme, homogenization, coarse time-stepper, FOS: Physical sciences, Computational Physics (physics.comp-ph), Homogenization in context of PDEs, PDEs in media with periodic structure, 01 natural sciences, equation-free framework, Reaction-diffusion equations, 0103 physical sciences, coarse integration, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Homogenization and oscillations in dynamical problems of solid mechanics, Physics - Computational Physics

File Description: application/xml

Access URL: http://arxiv.org/pdf/physics/0312004
http://arxiv.org/abs/physics/0312004
https://dblp.uni-trier.de/db/journals/mmas/mmas4.html#SamaeyRK05
https://core.ac.uk/display/34329645
https://epubs.siam.org/doi/abs/10.1137/030602046
https://arxiv.org/pdf/physics/0312004
https://locus.siam.org/doi/abs/10.1137/030602046
https://collaborate.princeton.edu/en/publications/the-gap-tooth-scheme-for-homogenization-problems

Homogenization of Interfaces Between Rapidly Oscillating Fine Elastic Structures and Fluids: Homogenization of interfaces between rapidly oscillating fine elastic structures and fluids

Authors: Nikolai D. Botkin, Karl-Heinz Hoffmann, Valery N. Starovoitov

Source: SIAM Journal on Applied Mathematics. 65:983-1005

Subject Terms: linearized Navier-Stokes equations, 0103 physical sciences, linear elasticity, Biomechanics, two-scale convergence, 0101 mathematics, Homogenization and oscillations in dynamical problems of solid mechanics, Biomechanical solid mechanics, biosensor, Homogenization in context of PDEs, PDEs in media with periodic structure, 01 natural sciences, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)

File Description: application/xml

Access URL: http://www-m6.ma.tum.de/~turova/html/11-42157.pdf
https://zbmath.org/2206122
https://doi.org/10.1137/s0036139903421572
http://www-m6.ma.tum.de/~turova/html/11-42157.pdf
https://epubs.siam.org/doi/10.1137/S0036139903421572
https://dblp.uni-trier.de/db/journals/siamam/siamam65.html#HoffmannBS05
https://doi.org/10.1137/S0036139903421572

Homogenization of an elastic material reinforced by very stiff or heavy fibers. Non-local effects. Memory effects

Authors: Michel Bellieud, Isabelle Gruais

Source: Journal de Mathématiques Pures et Appliquées. 84:55-96

Subject Terms: Homogenization, Mathematics(all), Applied Mathematics, small parameter, Homogenization in context of PDEs, PDEs in media with periodic structure, 01 natural sciences, Elasticity, boundary value problem, Fiber structures, Homogenization in equilibrium problems of solid mechanics, Composite and mixture properties, vibration, 0101 mathematics, Homogenization and oscillations in dynamical problems of solid mechanics, Non-local effects

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/pii/S0021782404000182
https://core.ac.uk/display/81939667

Macroscopic modelling of prestressed microperiodic elastic media

Authors: Cz. Woźniak, Ewaryst Wierzbicki, M. Woźniak

Source: Acta Mechanica. 173:107-117

Subject Terms: 03 medical and health sciences, 0302 clinical medicine, 0203 mechanical engineering, tolerance averaging method, 02 engineering and technology, Homogenization and oscillations in dynamical problems of solid mechanics

File Description: application/xml

Access URL: https://link.springer.com/content/pdf/10.1007%2Fs00707-004-0173-3.pdf
https://link.springer.com/article/10.1007/s00707-004-0173-3

Homogenization of Periodic Systems with Large Potentials: Homogenization of periodic systems with large potentials

Authors: Allaire, Grégoire, Capdeboscq, Yves, Piatnitski, Andrey, Siess, Vincent, Vanninathan, Muthusamy

Contributors: Capdeboscq, Yves, Centre de Mathématiques Appliquées (CMAP), Université de Versailles Saint-Quentin-en-Yvelines (UVSQ)-École polytechnique (X), Institut Polytechnique de Paris (IP Paris)-Institut Polytechnique de Paris (IP Paris)-Centre National de la Recherche Scientifique (CNRS), Laboratoire Jacques-Louis Lions (LJLL (UMR_7598)), Université Paris Diderot - Paris 7 (UPD7)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS), Narvik Institute of Technology (Department of Mathematics), University of Tromsø (UiT), Dassault Systèmes, Center for Applicable Mathematics Bangalore (TIFR-CAM), Tata Institute for Fundamental Research (TIFR), École polytechnique (X)

Source: Archive for Rational Mechanics and Analysis. 174:179-220

Subject Terms: oscillating test functions methods, Bloch wave decomposition method, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], Homogenization in equilibrium problems of solid mechanics, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], 0101 mathematics, Homogenization and oscillations in dynamical problems of solid mechanics, two scales convergence method, Homogenization in context of PDEs, PDEs in media with periodic structure, 01 natural sciences, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]

File Description: application/xml; application/pdf

Access URL: https://hal.archives-ouvertes.fr/hal-02083813/file/acpsv.pdf
http://repository.ias.ac.in/55307/
https://hal.archives-ouvertes.fr/hal-02083813
https://link.springer.com/article/10.1007/s00205-004-0332-7
https://dumas.ccsd.cnrs.fr/USPC/hal-02083813
https://hal.archives-ouvertes.fr/hal-02083813/document
https://dialnet.unirioja.es/servlet/articulo?codigo=1044879
https://hal.science/hal-02083813v1
https://doi.org/10.1007/s00205-004-0332-7
https://hal.science/hal-02083813v1/document

Fatigue life prediction using 2‐scale temporal asymptotic homogenization: Fatigue life prediction using 2-scale temporal asymptotic homogenization

Authors: Caglar Oskay, Jacob Fish

Source: International Journal for Numerical Methods in Engineering. 61:329-359

Subject Terms: 0203 mechanical engineering, brittle damage, crack propagation, 02 engineering and technology, temporal homogenization, cohesive model, Homogenization and oscillations in dynamical problems of solid mechanics, Brittle damage, fatigue life prediction

File Description: application/xml

Access URL: http://ui.adsabs.harvard.edu/abs/2004IJNME..61..329O/abstract
http://doi.wiley.com/10.1002/nme.1069
http://onlinelibrary.wiley.com/doi/10.1002/nme.1069/abstract
https://www.scorec.rpi.edu/~jfish/fatigue-ijnme-2004.pdf

Homogenisation of the undulations of a single yarn. Applications to the modelling of the traction

Authors: Jean François Ganghoffer, Bernard Haussy, Corinne Jung

Source: International Journal of Mechanical Sciences. 46:961-979

Subject Terms: 0203 mechanical engineering, Woven structure, 02 engineering and technology, 0101 mathematics, Homogenization and oscillations in dynamical problems of solid mechanics, 01 natural sciences, Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics, Multiscale asymptotic method

File Description: application/xml

Access URL: https://zbmath.org/2225758
https://doi.org/10.1016/j.ijmecsci.2004.08.007
https://www.sciencedirect.com/science/article/abs/pii/S002074030400205X

Multiscale computational simulation of deformation behavior of TRIP steel with growth of martensitic particles in unit cell by asymptotic homogenization method: Multiscale computational simulation of deformation behavior of TRIP steel with growth of martensitic particles in unit cell by asymptotic homogenization method.

Authors: Takeshi Iwamoto

Source: International Journal of Plasticity. 20:841-869

Subject Terms: Large-strain, rate-dependent theories of plasticity, Finite element methods applied to problems in solid mechanics, 0203 mechanical engineering, Asymptotic analysis, Thermomechanical processes, Finite elements, 8. Economic growth, TRIP steel, 02 engineering and technology, Homogenization and oscillations in dynamical problems of solid mechanics, Phase transformation, 0210 nano-technology, Crystals in solids

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/pii/S074964190300130X
https://dialnet.unirioja.es/servlet/articulo?codigo=781065