A MGT thermoelastic problem with two relaxation parameters

Authors: Bazarra, Noelia, Fernández García, José Ramón, Quintanilla de Latorre, Ramón

Contributors: Universitat Politècnica de Catalunya. Departament de Matemàtiques

Source: Investigo. Repositorio Institucional de la Universidade de Vigo
Universidade de Vigo (UVigo)
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Subject Terms: Finite element methods applied to problems in solid mechanics, finite element method, Finite elements, Classificació AMS::74 Mechanics of deformable solids::74F Coupling of solid mechanics with other effects, a priori error estimate, 1206 Análisis Numérico, exponential decay, 02 engineering and technology, 01 natural sciences, Classificació AMS::65 Numerical analysis::65M Partial differential equations, A priori error estimates, 0203 mechanical engineering, Exponential decay, initial value and time-dependent initial-boundary value problems, Classificació AMS::65 Numerical analysis::65M Partial differential equations, initial value and time-dependent initial-boundary value problems, 0101 mathematics, Thermoelasticity, MGT-thermoelasticity, foundations of continuum mechanics of solids, existence, Classificació AMS::74 Mechanics of deformable solids::74A Generalities, Uniqueness of solutions of dynamical problems in solid mechanics, uniqueness, implicit Euler scheme, linear semi-group theory, Finite difference methods applied to problems in solid mechanics, Thermal effects in solid mechanics, Existence of solutions of dynamical problems in solid mechanics, Classificació AMS::74 Mechanics of deformable solids::74A Generalities, axiomatics, foundations of continuum mechanics of solids, Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències, Linear semi-groups, PDEs in connection with mechanics of deformable solids, Relaxation parameters, Termoelasticitat, axiomatics

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Access URL: http://hdl.handle.net/11093/5279
https://link.springer.com/10.1007/s00033-023-02080-z
https://zbmath.org/7753767
https://doi.org/10.1007/s00033-023-02080-z
https://hdl.handle.net/2117/395197
https://doi.org/10.1007/s00033-023-02080-z

Analysis of a double Timoshenko beam model

Authors: Bazarra, N., Bochicchio, I., Fernández, J. R., Naso, M. G.

Source: Investigo. Repositorio Institucional de la Universidade de Vigo
Universidade de Vigo (UVigo)

Subject Terms: exponential stability, 12 Matemáticas, existence, Uniqueness of solutions of dynamical problems in solid mechanics, uniqueness, error estimate, Lyapunov functional, spatial finite element method, Vibrations in dynamical problems in solid mechanics, Existence of solutions of dynamical problems in solid mechanics, well-posedness, Suspension bridge system, Nonlinear oscillations, Well posedness, Exponential decay, Finite elements, Error estimates, Rods (beams, columns, shafts, arches, rings, etc.), PDEs in connection with mechanics of deformable solids, linear semigroup theory, temporal backward Euler scheme

File Description: application/xml; application/pdf

Access URL: https://linkinghub.elsevier.com/retrieve/pii/S0022247X24002373
http://hdl.handle.net/11093/9073
https://hdl.handle.net/11379/598185
https://doi.org/10.1016/j.jmaa.2024.128315
https://hdl.handle.net/11386/4863533
https://doi.org/10.1016/j.jmaa.2024.128315
https://www.sciencedirect.com/science/article/pii/S0022247X24002373?via=ihub

The domain of dependence inequality and asymptotic stability for a viscoelastic solid: The domain of dependence of inequality and asymptotic stability for a viscoelastic solid

Authors: Fabrizio, M., Lazzari, B.

Subject Terms: asymptotic stability, Existence of solutions of dynamical problems in solid mechanics, Uniqueness of solutions of dynamical problems in solid mechanics, Other PDE from mechanics, Linear constitutive equations for materials with memory, viscoelastic solid, Stability of dynamical problems in solid mechanics

File Description: application/xml

Access URL: https://zbmath.org/1414097
http://dspace.nbuv.gov.ua/handle/123456789/174920

On the bending of plates in the electromagnetic theory of microstretch elasticity

Authors: N. Baroiu, Cătălin Galeş

Source: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 94:55-71

Subject Terms: Micromechanics of solids, concentrated body sources, microstretch elasticity, Uniqueness of solutions of dynamical problems in solid mechanics, uniqueness, piezoelectromagnetic, 02 engineering and technology, 3. Good health, 0203 mechanical engineering, Electromagnetic effects in solid mechanics, Classical linear elasticity, Plates, Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics, 0210 nano-technology, thin plates

File Description: application/xml

Access URL: https://zbmath.org/6275561
https://doi.org/10.1002/zamm.201200219
https://ui.adsabs.harvard.edu/abs/2014ZaMM...94...55G/abstract
https://www.onlinelibrary.wiley.com/doi/abs/10.1002/zamm.201200219

Potential Method in the Linear Theory of Viscoelastic Materials with Voids: Potential method in the linear theory of viscoelastic materials with voids

Authors: Maia M. Svanadze

Contributors: Svanadze, Maia M.

Source: Journal of Elasticity. 114:101-126

Subject Terms: Kelvin-Voigt material with voids, uniqueness and existence theorems, Mechanical Engineering, potential method, 0206 medical engineering, Uniqueness of solutions of dynamical problems in solid mechanics, steady vibrations, 02 engineering and technology, Materials Science(all), Vibrations in dynamical problems in solid mechanics, 0203 mechanical engineering, Mechanics of Materials, Existence of solutions of dynamical problems in solid mechanics, Linear constitutive equations for materials with memory, Linear waves in solid mechanics, viscoelasticity

File Description: application/xml

Access URL: https://link.springer.com/content/pdf/10.1007%2Fs10659-013-9429-2.pdf
https://zbmath.org/6257878
https://doi.org/10.1007/s10659-013-9429-2
https://link.springer.com/content/pdf/10.1007%2Fs10659-013-9429-2.pdf
https://link.springer.com/article/10.1007/s10659-013-9429-2
https://core.ac.uk/display/81835364
https://paperity.org/p/18554239/potential-method-in-the-linear-theory-of-viscoelastic-materials-with-voids
https://link.springer.com/article/10.1007/s10659-013-9429-2/fulltext.html
https://resolver.sub.uni-goettingen.de/purl?gro-2/34987
https://resolver.sub.uni-goettingen.de/purl?gs-1/10246

Solvability of initial-boundary value problems for bending of thermoelastic plates with mixed boundary conditions

Authors: Igor Chudinovich, Christian Constanda, J. Colín Venegas

Source: Journal of Mathematical Analysis and Applications. 311:357-376

Subject Terms: Applied Mathematics, Variational method, Uniqueness of solutions of dynamical problems in solid mechanics, variational method, 01 natural sciences, Initial-boundary value problem, thermoelastic plate, Thermal effects in solid mechanics, Existence of solutions of dynamical problems in solid mechanics, Unique solvability, unique solvability, 0101 mathematics, Thermoelastic plate, Plates, PDEs in connection with mechanics of deformable solids, initial-boundary value problem, Analysis

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/pii/S0022247X05001800
https://core.ac.uk/display/82784753
https://ui.adsabs.harvard.edu/abs/2005JMAA..311..357C/abstract

On a doubly nonlinear model for the evolution of damaging in viscoelastic materials

Authors: E. Bonetti, G. Schimperna, A. Segatti

Contributors: Bonetti, Elena, Schimperna, GIULIO FERNANDO, Segatti, ANTONIO GIOVANNI

Source: Journal of differential equations
218 (2005): 91–116.
info:cnr-pdr/source/autori:Bonetti E., Schimperna G., Segatti A./titolo:On a doubly nonlinear model for the evolution of damaging in viscoelastic materials/doi:/rivista:Journal of differential equations (Print)/anno:2005/pagina_da:91/pagina_a:116/intervallo_pagine:91–116/volume:218

Subject Terms: DEGENERATING PARABOLIC EQUATION, VISCOELASTICITY, doubly nonlinear parabolic inclusion, degenerating parabolic equation, viscoelasticity, existence and uniqueness, Anelastic fracture and damage, existence, Uniqueness of solutions of dynamical problems in solid mechanics, uniqueness, Viscoelasticity, Other PDE from mechanics, Existence and uniqueness, parabolic variational inclusion, Doubly nonlinear parabolic inclusion, Degenerating parabolic equation, Existence of solutions of dynamical problems in solid mechanics, EXISTENCE AND UNIQUENESS, DOUBLY NONLINEAR PARABOLIC INCLUSION, Analysis

File Description: application/xml; application/pdf; STAMPA

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http://www.cnr.it/prodotto/i/31081
https://air.unimi.it/handle/2434/471740
https://www-dimat.unipv.it/segatti/papers/BSS_JDE.pdf
https://www.sciencedirect.com/science/article/pii/S0022039605001816
https://core.ac.uk/display/82391989
https://ui.adsabs.harvard.edu/abs/2005JDE...218...91B/abstract
https://hdl.handle.net/20.500.14243/52322
https://hdl.handle.net/2434/471740
https://doi.org/10.1016/j.jde.2005.04.015

Infinitesimal elastic–plastic Cosserat micropolar theory. Modelling and global existence in the rate-independent case: Infinitesimal elastic-plastic Cosserat micropolar theory. Moselling and global existence in the rate-independent case

Authors: Neff, Patrizio, Chełmiński, Krzysztof

Source: Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 135:1017-1039

Subject Terms: Polar materials, Existence of solutions of dynamical problems in solid mechanics, Mathematik, Uniqueness of solutions of dynamical problems in solid mechanics, Yosida approximation, 0101 mathematics, 01 natural sciences, Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)

File Description: application/xml

Access URL: https://zbmath.org/2245654
https://doi.org/10.1017/s030821050000425x
https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/infinitesimal-elasticplastic-cosserat-micropolar-theory-modelling-and-global-existence-in-the-rateindependent-case/B17D064CBCE4200BE21876D0EDCF22E9
http://www.journals.cambridge.org/abstract_S030821050000425X

Elastodynamic fundamental solutions for certain families of 2d inhomogeneous anisotropic domains: basic derivations

Authors: George D. Manolis, Tsviatko Rangelov, Petia Dineva

Source: European Journal of Mechanics - A/Solids. 24:820-836

Subject Terms: elastic waves, inhomogeneous media, Uniqueness of solutions of dynamical problems in solid mechanics, anisotropy, 02 engineering and technology, 01 natural sciences, 0203 mechanical engineering, Anisotropy in solid mechanics, boundary integral equation methods, Radon transformation, 0101 mathematics, Linear waves in solid mechanics, fundamental solutions, algebraic transformations

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Access URL: https://www.sciencedirect.com/science/article/pii/S0997753805000641
http://www.sciencedirect.com/science/article/pii/S0997753805000641
http://ui.adsabs.harvard.edu/abs/2005EJMS...24..820R/abstract

Asymptotic behavior for a viscoelastic problem with not necessarily decreasing kernel

Authors: Mohamed Medjden, Nasser-eddine Tatar

Source: Applied Mathematics and Computation. 167:1221-1235

Subject Terms: Existence of solutions of dynamical problems in solid mechanics, Uniqueness of solutions of dynamical problems in solid mechanics, Linear constitutive equations for materials with memory, exponential decay, Long-time behavior of solutions for dynamical problems in solid mechanics, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://dblp.uni-trier.de/db/journals/amc/amc167.html#MedjdenT05
http://www.sciencedirect.com/science/article/pii/S0096300304005636
https://www.sciencedirect.com/science/article/pii/S0096300304005636

Study of a rheological model with a friction term and a cubic term: deterministic and stochastic cases

Authors: Claude-Henri Lamarque, Frédéric Bernardin, Jérôme Bastien

Contributors: Lamarque, Claude-Henri

Source: European Journal of Mechanics - A/Solids. 24:572-592

Subject Terms: Identification, [PHYS.MECA.VIBR] Physics [physics]/Mechanics [physics]/Vibrations [physics.class-ph], Friction, Stochastic excitation, existence, Uniqueness of solutions of dynamical problems in solid mechanics, hysteresis cycles, Damping, 01 natural sciences, Discrete mechanical systems, Theory of constitutive functions in solid mechanics, Existence of solutions of dynamical problems in solid mechanics, discrete mechanical systems, 0103 physical sciences, identification, [SPI.MECA.VIBR] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Vibrations [physics.class-ph], 0101 mathematics

File Description: application/xml

Access URL: https://ui.adsabs.harvard.edu/abs/2005EJMS...24..572L/abstract
https://www.sciencedirect.com/science/article/pii/S0997753805000501
https://www.sciencedirect.com/science/article/pii/S0997753805000501#!

On a class of equations arising in linear viscoelasticity theory

Authors: Atanacković, Teodor, Pilipović, Stevan

Source: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 85:748-754

Subject Terms: Integro-ordinary differential equations, 0203 mechanical engineering, Existence of solutions of dynamical problems in solid mechanics, Fractional derivatives and integrals, existence, Uniqueness of solutions of dynamical problems in solid mechanics, uniqueness, Linear constitutive equations for materials with memory, Riemann-Liouville fractional derivative, 02 engineering and technology, 0101 mathematics, Rods (beams, columns, shafts, arches, rings, etc.), 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/2213253
https://doi.org/10.1002/zamm.200310209
https://www.cris.uns.ac.rs/record.jsf?recordId=6660&source=OpenAIRE&language=en
http://ui.adsabs.harvard.edu/abs/2005ZaMM...85..748A/abstract

Uniqueness Results for Reflection and Transmission in a Solid Layer: Uniqueness results for reflection and transmission in a solid layer

Authors: MORRO, ANGELO

Source: Mathematics and Mechanics of Solids. 10:335-347

Subject Terms: Wave scattering in solid mechanics, Uniqueness of solutions of dynamical problems in solid mechanics, viscoelastic layer, 0101 mathematics, initial value problem, 01 natural sciences, energy functional

File Description: application/xml

Access URL: https://journals.sagepub.com/doi/abs/10.1177/1081286505036323
https://core.ac.uk/display/54729706
https://hdl.handle.net/11567/205885

Local existence and uniqueness for quasistatic finite plasticity with grain boundary relaxation

Authors: Neff, Patrizio

Source: Quarterly of Applied Mathematics. 63:88-116

Subject Terms: Large-strain, rate-dependent theories of plasticity, 0203 mechanical engineering, Existence of solutions of dynamical problems in solid mechanics, Mathematik, visco-plasticity, Uniqueness of solutions of dynamical problems in solid mechanics, polycrystals, 02 engineering and technology, generalized Korn first inequality, 0101 mathematics, Crystalline structure, 01 natural sciences

File Description: application/xml

Access URL: https://www.ams.org/qam/2005-63-01/S0033-569X-05-00953-9/S0033-569X-05-00953-9.pdf
https://www.ams.org/qam/2005-63-01/S0033-569X-05-00953-9/S0033-569X-05-00953-9.pdf
https://tubiblio.ulb.tu-darmstadt.de/23399/
https://www.ams.org/journals/qam/2005-63-01/S0033-569X-05-00953-9/home.html
https://www.ams.org/distribution/qam/2005-63-01/S0033-569X-05-00953-9/home.html

A mixed finite element approach for viscoelastic wave propagation

Authors: Bécache, Eliane, Ezziani, Abdelaâziz, Joly, Patrick

Contributors: Arnoux, Aurélien

Source: Computational Geosciences. 8:255-299

Subject Terms: Finite element methods applied to problems in solid mechanics, Existence of solutions of dynamical problems in solid mechanics, Bulk waves in solid mechanics, perfectly matched layers technique, existence, Uniqueness of solutions of dynamical problems in solid mechanics, uniqueness, Linear constitutive equations for materials with memory, Zener model, 0101 mathematics, finite velocity propagation, 01 natural sciences, 0105 earth and related environmental sciences

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https://doi.org/10.1007/s10596-005-3772-8
https://link.springer.com/article/10.1007%2Fs10596-005-3772-8
http://www.ensta-paristech.fr/~becache/article_visco.pdf
https://rd.springer.com/article/10.1007/s10596-005-3772-8
https://hal.archives-ouvertes.fr/hal-00983573

Global existence to a three-dimensional non-linear thermoelasticity system arising in shape memory materials: Global existence to a three-dimensional nonlinear thermoelasticity system arising in shape memory materials

Authors: Wojciech M. Zaj czkowski, Irena Paw ow

Source: Mathematical Methods in the Applied Sciences. 28:407-442

Subject Terms: Thermal effects in solid mechanics, Existence of solutions of dynamical problems in solid mechanics, energy estimates, Nonlinear elasticity, Control, switches and devices (''smart materials') in solid mechanics, Uniqueness of solutions of dynamical problems in solid mechanics, parabolic regularization, Other PDE from mechanics, DeGiorgi method, 0101 mathematics, nonconvex multi-well function, 01 natural sciences

File Description: application/xml

Access URL: https://ui.adsabs.harvard.edu/abs/2005MMAS...28..407P/abstract

On the theory of heat for micromorphic bodies

Authors: NAPPA, LUDOVICO, D. Iesan

Source: International Journal of Engineering Science. 43:17-32

Subject Terms: micromorphic continua, Thermal effects in solid mechanics, Finite element methods applied to problems in solid mechanics, Thermodynamics of continua, 0203 mechanical engineering, heat conduction, uniqueness, Galerkin type solution, Uniqueness of solutions of dynamical problems in solid mechanics, 02 engineering and technology, 0210 nano-technology, Thermodynamics in solid mechanics

File Description: application/xml; application/pdf

Access URL: https://zbmath.org/5895296
https://doi.org/10.1016/j.ijengsci.2004.09.003
http://hdl.handle.net/11588/422201
https://www.sciencedirect.com/science/article/pii/S0020722504002496
https://core.ac.uk/display/55063481
https://hdl.handle.net/11588/422201

Unique global solvability in two‐dimensional non‐linear thermoelasticity: Unique global solvability in two-dimensional nonlinear thermoelasticity

Authors: Wojciech M. Zaj czkowski, Irena Paw ow

Source: Mathematical Methods in the Applied Sciences. 28:551-592

Subject Terms: Thermal effects in solid mechanics, Existence of solutions of dynamical problems in solid mechanics, Leray-Schauder fixed point theorem, Uniqueness of solutions of dynamical problems in solid mechanics, uniqueness, Other PDE from mechanics, parabolic decomposition, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://ui.adsabs.harvard.edu/abs/2005MMAS...28..551P/abstract
https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.582

Motion of an Elastic Solid inside an Incompressible Viscous Fluid: Motion of an elastic solid inside an incompressible viscous fluid

Authors: Shkoller, Steve, Coutand, Daniel

Source: Archive for Rational Mechanics and Analysis. 176:25-102

Subject Terms: bepress|Physical Sciences and Mathematics|Mathematics, Navier-Stokes equations for incompressible viscous fluids, existence, Uniqueness of solutions of dynamical problems in solid mechanics, fixed-point theorem, weak solution, 01 natural sciences, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), 35M10, 35Q30, 35Q72, Mathematics - Analysis of PDEs, time-dependent Navier-Stokes equations, Classical linear elasticity, Existence of solutions of dynamical problems in solid mechanics, linear Kirchhoff elastic material, 0103 physical sciences, FOS: Mathematics, 0101 mathematics, math.AP, Analysis of PDEs (math.AP)

File Description: application/xml

Access URL: http://arxiv.org/pdf/math/0407365
http://arxiv.org/abs/math/0407365
https://zbmath.org/2170062
https://doi.org/10.1007/s00205-004-0340-7
https://link.springer.com/article/10.1007%2Fs00205-004-0340-7
http://ui.adsabs.harvard.edu/abs/2005ArRMA.176...25C/abstract
https://dialnet.unirioja.es/servlet/articulo?codigo=1162546
https://www.math.ucdavis.edu/~shkoller/elastic.pdf
http://www.math.ucdavis.edu/~shkoller/elastic.pdf
https://escholarship.org/uc/item/04s706tx
https://arxiv.org/abs/math/0407365
https://arxiv.org/pdf/math/0407365.pdf
https://ora.ox.ac.uk/objects/uuid:45ed314e-5883-432b-86b7-391bade2750c
https://doi.org/10.1007/s00205-004-0340-7
https://escholarship.org/uc/item/04s706tx

Potential method in the linear theory of swelling porous elastic soils

Authors: Cătălin Galeş

Source: European Journal of Mechanics - A/Solids. 23:957-973

Subject Terms: vibrations, 0203 mechanical engineering, Existence of solutions of dynamical problems in solid mechanics, Flows in porous media, filtration, seepage, Soil and rock mechanics, existence, Uniqueness of solutions of dynamical problems in solid mechanics, uniqueness, 02 engineering and technology, 0210 nano-technology, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), fluid saturation

File Description: application/xml

Access URL: https://ui.adsabs.harvard.edu/abs/2004EJMS...23..957G/abstract
https://www.sciencedirect.com/science/article/pii/S0997753804000890