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

File Description: application/xml

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

File Description: application/xml

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

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

File Description: application/xml

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

File Description: application/xml; application/pdf

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

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

File Description: application/xml

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 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

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

File Description: application/xml

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

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

File Description: application/xml

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

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

File Description: application/xml

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

Randomly-fluctuating heterogeneous continuum model of a ballasted railway track

Authors: Sofia Costa D’Aguiar Juan Carlos Quezada Lucio de Abreu Correa et al.

Source: Computational Mechanics. 60:845-861

Subject Terms: 2. Zero hunger, Spectral and related methods applied to problems in solid mechanics, ballast railway track, 0103 physical sciences, spectral element method, stochastic heterogeneous material, Granularity, granular medium, 01 natural sciences

File Description: application/xml

Access URL: https://hal.archives-ouvertes.fr/hal-01635950/file/Correa2016.pdf
https://ui.adsabs.harvard.edu/abs/2017CompM..60..845D/abstract
https://link.springer.com/content/pdf/10.1007%2Fs00466-017-1446-8.pdf
https://link.springer.com/article/10.1007%2Fs00466-017-1446-8
https://hal.archives-ouvertes.fr/hal-01635950

Thermal and tensile loading effects on size-dependent vibration response of traveling nanobeam by wavelet-based spectral element modeling

Authors: Ali Mokhtari Vahid Sarvestan Hamid Reza Mirdamadi

Source: Meccanica. 52:2169-2187

Subject Terms: traveling nanostructure, size-dependent wavelet-based modeling, thermal/tensile load, Thermal effects in solid mechanics, Vibrations in dynamical problems in solid mechanics, 0203 mechanical engineering, Spectral and related methods applied to problems in solid mechanics, Micromechanics of solids, spectral element method, 02 engineering and technology, 0210 nano-technology, divergence/flutter instability

File Description: application/xml

Access URL: https://link.springer.com/10.1007/s11012-016-0578-9
https://link.springer.com/article/10.1007/s11012-016-0578-9

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

File Description: application/xml

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

Fourier Transform approach to numerical homogenization of periodic media containing sharp insulating and superconductive cracks: Fourier transform approach to numerical homogenization of periodic media containing sharp insulating and superconductive cracks

Authors: To, Quy-Dong Bonnet, Guy To, Quy Dong

Contributors: To, Quy-Dong Bonnet, Guy To, Quy Dong

Source: Computer Methods in Applied Mechanics and Engineering. 403:115710

Subject Terms: insulating crack, iteration scheme, Fast Fourier Transform, fractured media, Iteration scheme, [SPI.MECA] Engineering Sciences [physics]/Mechanics [physics.med-ph], numerical homogenization method, Effective constitutive equations in solid mechanics, fast Fourier transform, 01 natural sciences, Numerical homogenization method, Spectral and related methods applied to problems in solid mechanics, superconductive crack, 0103 physical sciences, Fractured media, 0101 mathematics, Numerical methods for discrete and fast Fourier transforms

File Description: application/xml; application/pdf

Oblique wave interaction with porous, flexible barriers in a two-layer fluid

Authors: Trilochan Sahoo S. Mandal Harekrushna Behera

Source: Journal of Engineering Mathematics. 100:1-31

Subject Terms: Water waves, gravity waves, dispersion and scattering, nonlinear interaction, Flows in porous media, filtration, seepage, Completeness of eigenfunctions and eigenfunction expansions in context of PDEs, least square approximation, Free-surface potential flows for incompressible inviscid fluids, 01 natural sciences, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), porous, flexible barriers, Spectral and related methods applied to problems in solid mechanics, oblique waves, 0103 physical sciences, wave scattering, eigen-system characteristic, two-layer fluid

File Description: application/xml

Access URL: https://zbmath.org/6830171
https://doi.org/10.1007/s10665-015-9830-x
https://link.springer.com/article/10.1007/s10665-015-9830-x
https://link.springer.com/10.1007/s10665-015-9830-x
https://ui.adsabs.harvard.edu/abs/2016JEnMa.100....1M/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

File Description: application/xml

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

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

File Description: application/xml

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

Investigation of free vibrations of noncircular cylindrical shells by the spline-collocation method: Investigation of free vibrations of non-circular cylindrical shells by the spline-collocation method

Authors: S. V. Puzyrev E. A. Volchek A. Ya. Grigorenko

Source: Journal of Mathematical Sciences. 185:824-836

Subject Terms: Vibrations in dynamical problems in solid mechanics, spectrum of natural vibrations, 0203 mechanical engineering, Spectral and related methods applied to problems in solid mechanics, stationary vibrations of shell, 02 engineering and technology, Shells, 0201 civil engineering

File Description: application/xml

Access URL: https://zbmath.org/6155776
https://link.springer.com/10.1007/s10958-012-0965-2
https://link.springer.com/article/10.1007/s10958-012-0965-2
https://rd.springer.com/article/10.1007/s10958-012-0965-2

Analysis of post buckling behavior of circular plates with non-concentric hole using the Rayleigh–Ritz method: Analysis of post buckling behavior of circular plates with non-concentric hole using the Rayleigh-Ritz method

Authors: E. Mazhari Ali Reza Shahidi

Source: Applied Mathematical Modelling. 35:3136-3153

Subject Terms: shape function, Bifurcation and buckling, Applied Mathematics, 0211 other engineering and technologies, non-concentric hole, 02 engineering and technology, Ritz method, 0201 civil engineering, post buckling, Spectral and related methods applied to problems in solid mechanics, Hookean displacement field, Modelling and Simulation, buckling, Rayleigh, Plates

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/abs/pii/S0307904X10005159
https://www.sciencedirect.com/science/article/pii/S0307904X10005159

Rapid solution of 3-D oscillatory elastodynamics using the pFFT accelerated BEM: Rapid solution of 3-D oscillatory elastodynamics using the pfft accelerated BEM

Authors: Zaiyou Yan Jiheng Zhang Wenjing Ye

Source: Engineering Analysis with Boundary Elements. 34:956-962

Subject Terms: Numerical approximation of solutions of dynamical problems in solid mechanics, PFFT technique, 02 engineering and technology, 01 natural sciences, pFFT technique, elastodynamics, boundary element method, 0203 mechanical engineering, Classical linear elasticity, Spectral and related methods applied to problems in solid mechanics, Elastodynamics, Fourier transform, Boundary element method, 0101 mathematics, Boundary element methods applied to problems in solid mechanics

File Description: application/xml

Access URL: https://zbmath.org/6063986
https://doi.org/10.1016/j.enganabound.2010.06.008
https://dialnet.unirioja.es/servlet/articulo?codigo=5553873
https://repository.ust.hk/ir/Record/1783.1-39557
https://core.ac.uk/display/34031806
https://www.sciencedirect.com/science/article/pii/S0955799710001530

Modified equilibrium on line method for imposition of Neumann boundary conditions in meshless collocation methods

Authors: Alireza Sadeghirad I. Mahmoudzadeh Kani

Source: Communications in Numerical Methods in Engineering. 25:147-171

Subject Terms: meshless methods, numerical examples, convergence, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, modified equilibrium on line method, nonlinear Poisson's equation, linear elasticity, radial basis functions, Stability and convergence of numerical methods for boundary value problems involving PDEs, stability, 01 natural sciences, moving least squares, Classical linear elasticity, Nonlinear boundary value problems for linear elliptic equations, Spectral and related methods applied to problems in solid mechanics, collocation methods, Spectral, collocation and related methods for boundary value problems involving PDEs, 0101 mathematics, elasto-plastic analysis

File Description: application/xml

Access URL: https://zbmath.org/5522884
https://doi.org/10.1002/cnm.1114
https://onlinelibrary.wiley.com/doi/abs/10.1002/cnm.1114