Search Results - Spectral and related methods applied to problems in solid mechanics

Wave propagation analysis of Micropolar-Cosserat periodic composite panels: spectral element formulation: Wave propagation analysis of micropolar-Cosserat periodic composite panels: spectral element formulation

Authors: S. K. Singh R. K. Varma A. Banerjee et al.

Source: Acta Mechanica. 234:4011-4034

Subject Terms: Polar materials, Bloch-Floquet theorem, dynamic stiffness matrix, Finite element methods applied to problems in solid mechanics, Spectral and related methods applied to problems in solid mechanics, finite element method, Rodrigues rotation transformation matrix, Composite and mixture properties, Linear waves in solid mechanics, Plates, frequency response function

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The Elastic Properties of Dilute Solid Suspensions with Imperfect Interfacial Bonding: Variational Approximations Versus Full-Field Simulations: The elastic properties of dilute solid suspensions with imperfect interfacial bonding: variational approximations versus full-field simulations

Authors: Gallican, Valentin Zecevic, Miroslav Lebensohn, Ricardo A. et al.

Source: Journal of Elasticity. 153:373-398

Subject Terms: interfaces, Suspensions, Structured surfaces and interfaces, coexistent phases, Classical linear elasticity, Spectral and related methods applied to problems in solid mechanics, Micromechanical theories, homogenization, variational methods, elasticity, Effective constitutive equations in solid mechanics, Fast-Fourier transform algorithms

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Access URL: https://zbmath.org/7687182
https://doi.org/10.1007/s10659-023-10001-4

Study of the Spectral Stability of Generalized Runge–Kutta Methods in the Initial Problem for the Transfer Equation: Study of spectral stability of generalized Runge-Kutta methods for the initial problem for transfer equation

Authors: A. P. Yankovskii

Source: Journal of Mathematical Sciences. 215:196-217

Subject Terms: Finite difference methods applied to problems in solid mechanics, Cauchy problem for transfer equations, approximate solution of problem, Spectral and related methods applied to problems in solid mechanics, 0103 physical sciences, 0211 other engineering and technologies, Hydro- and aero-acoustics, 02 engineering and technology, Compressible fluids and gas dynamics, 01 natural sciences

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Access URL: https://link.springer.com/article/10.1007/s10958-016-2832-z

Stability and Error Estimates of Gpav-Based Unconditionally Energy-Stable Scheme for Phase Field Crystal Equation: Stability and error estimates of GPAV-based unconditionally energy-stable scheme for phase field crystal equation

Authors: Yanxia Qian Yongchao Zhang Yunqing Huang

Source: Computers & Mathematics with Applications. 151:461-472

Subject Terms: positive, unconditional energy stability, Finite difference methods applied to problems in solid mechanics, Error bounds for initial value and initial-boundary value problems involving PDEs, error estimates, Spectral and related methods applied to problems in solid mechanics, Finite difference methods for initial value and initial-boundary value problems involving PDEs, phase field crystal, Nonlinear parabolic equations, Spectral, collocation and related methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, PDEs in connection with mechanics of deformable solids, Crystals in solids, auxiliary variable, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

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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

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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

FFT-based homogenization at finite strains using composite boxels (ComBo)

Authors: Sanath Keshav Felix Fritzen Matthias Kabel

Source: Computational Mechanics. 71:191-212

Subject Terms: local coarse-graining technique, laminate theory, Numerical Analysis (math.NA), 02 engineering and technology, fast Fourier transform, 01 natural sciences, image-based normal detection algorithm, 0203 mechanical engineering, Spectral and related methods applied to problems in solid mechanics, FOS: Mathematics, Homogenization in equilibrium problems of solid mechanics, Mathematics - Numerical Analysis, Composite and mixture properties, pseudo-uni-directional fiber composite, 0101 mathematics, composite voxel

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Access URL: http://arxiv.org/abs/2204.13624
https://zbmath.org/7686547
https://doi.org/10.1007/s00466-022-02232-4

Mathematical Aspects of ANM/FEM Numerical Model, Applied to Nonlinear Elastic, and Thermo Elastic Analysis of Wrinkles in Film/Substrate Systems, and a New Implementation in the FreeFEM++ Language.

Authors: Ventura, Pascal Hecht, Frédéric Potier-Ferry, Michel et al.

Source: Mathematics (2227-7390); Oct2025, Vol. 13 Issue 19, p3063, 26p

Subject Terms: ELASTICITY, SOLID mechanics, NUMERICAL analysis, MATHEMATICAL models, MECHANICAL buckling, THERMAL stresses, FINITE element method

Using Krylov subspace and spectral methods for solving complementarity problems in many‐body contact dynamics simulation: Using Krylov subspace and spectral methods for solving complementarity problems in many-body contact dynamics simulation

Authors: Toby Heyn Mihai Anitescu Dan Negrut et al.

Contributors: Toby Heyn Mihai Anitescu Dan Negrut et al.

Source: International Journal for Numerical Methods in Engineering. 95:541-561

Subject Terms: Iterative numerical methods for linear systems, 0211 other engineering and technologies, differential equations, 02 engineering and technology, 16. Peace & justice, Contact in solid mechanics, solids, Spectral and related methods applied to problems in solid mechanics, multibody dynamics, Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming), contact, Numerical methods for variational inequalities and related problems

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Access URL: http://www-unix.mcs.anl.gov/%7Eanitescu/PUBLICATIONS/2012/HeynAnitescuTasoraNegrut_IJNME_2012_P2099.pdf
http://ui.adsabs.harvard.edu/abs/2013IJNME..95..541H/abstract
https://www.mcs.anl.gov/~anitescu/PUBLICATIONS/2012/HeynAnitescuTasoraNegrut_IJNME_2012_P2099.pdf
http://www.mcs.anl.gov/~anitescu/PUBLICATIONS/2012/HeynAnitescuTasoraNegrut_IJNME_2012_P2099.pdf
https://core.ac.uk/display/22195773
https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.4513

Bending analysis of functionally graded nanobeams based on the fractional nonlocal continuum theory by the variational Legendre spectral collocation method

Authors: Reza Ansari M. Faraji Oskouie Hessam Rouhi

Source: Meccanica. 53:1115-1130

Subject Terms: 0203 mechanical engineering, Euler-Bernoulli beam, Spectral and related methods applied to problems in solid mechanics, Micromechanics of solids, 02 engineering and technology, Rods (beams, columns, shafts, arches, rings, etc.), operational matrix method, Applications of fractional calculus in solid mechanics, Legendre polynomial series

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Access URL: https://link.springer.com/article/10.1007%2Fs11012-017-0792-0

The spectral element method for elastic wave equations—application to 2-D and 3-D seismic problems: The spectral element method for elastic wave equations -- application to 2-D and 3-D seismic problems

Authors: Komatitsch, Dimitri Vilotte, J. P. Vai, R. et al.

Contributors: Komatitsch, Dimitri Vilotte, J. P. Vai, R. et al.

Source: International Journal for Numerical Methods in Engineering. 45:1139-1164

Subject Terms: impedance conditions, Seismology (including tsunami modeling), earthquakes, Lagrange interpolants, Inhomogeneity in solid mechanics, Bulk waves in solid mechanics, seismic waves, invertible local mapping, spectral element method, quadrangles, energy-momentum conservation scheme, expansion in discrete polynomials, inhomogeneous elastic medium, parallel implementation, Spectral and related methods applied to problems in solid mechanics, hexahedra, [INFO.INFO-DC] Computer Science [cs]/Distributed, Parallel, and Cluster Computing [cs.DC], finite extent domains, Rayleigh waves

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Access URL: https://zbmath.org/1343192
https://doi.org/10.1002/(sici)1097-0207(19990730)45:9<1139::aid-nme617>3.0.co;2-t
https://onlinelibrary.wiley.com/doi/10.1002/%28SICI%291097-0207%2819990730%2945%3A9%3C1139%3A%3AAID-NME617%3E3.0.CO%3B2-T
https://ui.adsabs.harvard.edu/abs/1999IJNME..45.1139K/abstract
https://hal.inria.fr/hal-00669075

A Legendre Spectral Galerkin Method for the Biharmonic Dirichlet Problem: A Legendre spectral Galerkin method for the biharmonic Dirichlet problem

Authors: Bialecki, B. Karageorghis, Andreas Karageorghis, Andreas [0000-0002-8399-6880]

Contributors: Bialecki, B. Karageorghis, Andreas Karageorghis, Andreas [0000-0002-8399-6880]

Source: SIAM Journal on Scientific Computing
Siam J.Sci.Comput.

Subject Terms: Schur complement matrix, Iterative numerical methods for linear systems, spectral Galerkin method, Numerical computation of matrix norms, conditioning, scaling, biharmonic Dirichlet problem, Linear systems, Polynomials, clamped-plate problem, 01 natural sciences, Mathematical techniques, Galerkin methods, Spectral Galerkin method, Gradient methods, preconditioned conjugate gradient method, Boundary value problems for higher-order elliptic equations, Preconditioned conjugate gradient method, Spectral and related methods applied to problems in solid mechanics, Convergence of numerical methods, Biharmonic Dirichlet problem, Schur complement, Spectral, collocation and related methods for boundary value problems involving PDEs, 0101 mathematics, Cholesky method, Plates, Algorithms

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Access URL: http://gnosis.library.ucy.ac.cy/handle/7/56534

A boundary spectral method for elastostatic problems with multiple spherical cavities and inclusions

Authors: Steven L. Crouch Hamid R. Sadraie Sofia G. Mogilevskaya

Source: Engineering Analysis with Boundary Elements. 31:425-442

Subject Terms: alternating method, 0203 mechanical engineering, Classical linear elasticity, Spectral and related methods applied to problems in solid mechanics, least squares method, boundary spectral method, spherical harmonics, elasticity, 02 engineering and technology, 0210 nano-technology, spherical cavities and inclusions

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Access URL: https://www.sciencedirect.com/science/article/pii/S0955799707000161
https://experts.umn.edu/en/publications/a-boundary-spectral-method-for-elastostatic-problems-with-multipl
https://dialnet.unirioja.es/servlet/articulo?codigo=2267690

Application of the pseudo-spectral method to 2D eigenvalue problems in elasticity

Authors: Chris J. Talbot Andrew Crampton

Source: Numerical Algorithms. 38:95-110

Subject Terms: pole condition, Classical linear elasticity, Spectral and related methods applied to problems in solid mechanics, 4. Education, matrix eigenvalue problems, 0101 mathematics, 01 natural sciences, coordinate singularity, 0105 earth and related environmental sciences

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Access URL: https://zbmath.org/2161189
https://ui.adsabs.harvard.edu/abs/2005NuAlg..38...95T/abstract
https://link.springer.com/article/10.1007/BF02810618
https://dialnet.unirioja.es/servlet/articulo?codigo=1105908
https://pure.hud.ac.uk/en/publications/application-of-the-pseudo-spectral-method-to-2d-eigenvalue-proble
http://eprints.hud.ac.uk/id/eprint/312/
https://dblp.uni-trier.de/db/journals/na/na38.html#TalbotC05

FFT phase-field model combined with cohesive composite voxels for fracture of composite materials with interfaces

Authors: Aldo Marano Lionel Gélébart Yang Chen et al.

Source: Computational Mechanics

Subject Terms: Brittle fracture, Spectral and related methods applied to problems in solid mechanics, laminated composite, Composite and mixture properties, 0101 mathematics, variational phase-field fracture model, fast Fourier transform, 01 natural sciences, frictional cohesive zone model

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Access URL: https://link.springer.com/content/pdf/10.1007/s00466-021-02041-1.pdf
https://zbmath.org/7431415
https://doi.org/10.1007/s00466-021-02041-1
https://ora.ox.ac.uk/objects/uuid:709fa660-9bc4-4d14-a232-9effa66b0c70
https://link.springer.com/10.1007/s00466-021-02041-1
https://link.springer.com/content/pdf/10.1007/s00466-021-02041-1.pdf
http://ui.adsabs.harvard.edu/abs/2021CompM..68..433C/abstract
https://paperity.org/p/270285194/fft-phase-field-model-combined-with-cohesive-composite-voxels-for-fracture-of-composite
https://ora.ox.ac.uk/objects/uuid:709fa660-9bc4-4d14-a232-9effa66b0c70
https://doi.org/10.1007/s00466-021-02041-1

A 2D Daubechies finite wavelet domain method for transient wave response analysis in shear deformable laminated composite plates

Authors: Dimitris A. Saravanos Christos V. Nastos T.C. Theodosiou et al.

Source: Computational Mechanics. 62:1187-1198

Subject Terms: Bulk waves in solid mechanics, 0211 other engineering and technologies, wave propagation, 02 engineering and technology, 01 natural sciences, guided wave, Finite difference methods applied to problems in solid mechanics, Spectral and related methods applied to problems in solid mechanics, first-order shear deformation plate theory, explicit central difference integration, Composite and mixture properties, 0101 mathematics, Plates, Daubechies wavelet-based element

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Access URL: https://zbmath.org/6981056
https://doi.org/10.1007/s00466-018-1558-9
https://link.springer.com/article/10.1007/s00466-018-1558-9
https://link.springer.com/10.1007/s00466-018-1558-9
https://ui.adsabs.harvard.edu/abs/2018CompM..62.1187N/abstract

Spectral methods for lifetime prediction under wide-band stationary random processes

Authors: BENASCIUTTI, Denis TOVO, Roberto

Source: International Journal of Fatigue. 27:867-877

Subject Terms: Random vibrations in dynamical problems in solid mechanics, 0203 mechanical engineering, Power spectral density, Spectral and related methods applied to problems in solid mechanics, Fatigue damage, 02 engineering and technology, wide-band stochastic process, power spectral density, Wide-band stochastic process, Brittle damage, 0201 civil engineering

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Access URL: https://zbmath.org/2191062
https://doi.org/10.1016/j.ijfatigue.2004.10.007
https://core.ac.uk/display/54675686
https://www.sciencedirect.com/science/article/pii/S0142112305000617
https://hdl.handle.net/11390/852179
https://doi.org/10.1016/J.IJFATIGUE.2004.10.007
https://hdl.handle.net/11390/672485
https://hdl.handle.net/11392/2329733

Parametric electro‐mechanical dispersive behaviors of guided waves in the functionally graded piezoelectric annular plate: Parametric electro-mechanical dispersive behaviors of guided waves in the functionally graded piezoelectric annular plate

Authors: Chunlei Li Dongliang Xiao Sihao Han et al.

Source: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 103

Subject Terms: Electromagnetic effects in solid mechanics, Spectral and related methods applied to problems in solid mechanics, Chebyshev spectral element method, Anisotropy in solid mechanics, Lagrange interpolation, 02 engineering and technology, Linear waves in solid mechanics, Plates, cutoff frequency, 0210 nano-technology, Frenet-Serret curvilinear coordinates, elastodynamic wave equation, mode separation, mode conversion

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Access URL: https://zbmath.org/7824577
https://doi.org/10.1002/zamm.202200283

A spectral‐element method for modelling cavitation in transient fluid–structure interaction: A spectral-element method for modelling cavitation in transient fluid-structure interaction

Authors: Michael A. Sprague Thomas L. Geers

Source: International Journal for Numerical Methods in Engineering. 60:2467-2499

Subject Terms: underwater shock, Spectral and related methods applied to problems in solid mechanics, 0103 physical sciences, Hydro- and aero-acoustics, time-step subcycling, field separation, 01 natural sciences, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), non-conformal coupling, Finite element methods applied to problems in fluid mechanics

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Access URL: https://michaelasprague.com/publications/Sprague_Geers_IJNME_2004.pdf
http://ui.adsabs.harvard.edu/abs/2004IJNME..60.2467S/abstract
https://onlinelibrary.wiley.com/doi/10.1002/nme.1054

The solution of elastostatic and elastodynamic problems with Chebyshev spectral finite elements

Authors: W. Dauksher A.F. Emery

Source: Computer Methods in Applied Mechanics and Engineering. 188:217-233

Subject Terms: Finite element methods applied to problems in solid mechanics, solution dispersion, dynamic stress intensity factor, Spectral and related methods applied to problems in solid mechanics, Numerical approximation of solutions of dynamical problems in solid mechanics, 0211 other engineering and technologies, coarse mesh solutions, Numerical approximation of solutions of equilibrium problems in solid mechanics, 02 engineering and technology, Chebyshev spectral finite elements, 0101 mathematics, 01 natural sciences

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Access URL: https://zbmath.org/1506866
https://doi.org/10.1016/s0045-7825(99)00149-8
http://ui.adsabs.harvard.edu/abs/2000CMAME.188..217D/abstract
http://www.sciencedirect.com/science/article/pii/S0045782599001498
https://www.sciencedirect.com/science/article/pii/S0045782599001498

The variational multiscale method—a paradigm for computational mechanics: The variational multiscale method -- a paradigm for computational mechanics

Authors: Thomas J. R. Hughes Luca Mazzei Gonzalo R. Feijóo et al.

Source: Computer Methods in Applied Mechanics and Engineering. 166:3-24

Subject Terms: Multigrid methods, domain decomposition for boundary value problems involving PDEs, Finite element methods applied to problems in solid mechanics, domain decomposition for initial value and initial-boundary value problems involving PDEs, Spectral and related methods applied to problems in solid mechanics, 0101 mathematics, 01 natural sciences

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Access URL: https://zbmath.org/1326947
https://doi.org/10.1016/s0045-7825(98)00079-6
http://www.sciencedirect.com/science/article/pii/S0045782598000796
https://ui.adsabs.harvard.edu/abs/1998CMAME.166....3H/abstract
http://utexas.influuent.utsystem.edu/en/publications/the-variational-multiscale-method-a-paradigm-for-computational-me
https://www.sciencedirect.com/science/article/pii/S0045782598000796