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

The non-unique existence of Rayleigh waves in nonlocal elastic half-spaces

Authors: Pham Chi Vinh, Vu Thi Ngoc Anh, Hai Q. Dinh

Source: Zeitschrift für angewandte Mathematik und Physik. 74

Subject Terms: Elastic materials, Rayleigh wave velocity, Existence of solutions of dynamical problems in solid mechanics, nonlocality effect, Bulk waves in solid mechanics, Complex-variable methods applied to problems in solid mechanics, PDEs in connection with mechanics of deformable solids, complex function method

File Description: application/xml

Access URL: https://zbmath.org/7707329
https://doi.org/10.1007/s00033-023-02007-8

Existence and Hyers-Ulam stability results for a class of fractional order delay differential equations with non-instantaneous impulses

Authors: Zhiguo Luo, Danfeng Luo

Source: Mathematica Slovaca. 70:1231-1248

Subject Terms: Existence of solutions of dynamical problems in solid mechanics, Fractional derivatives and integrals, 4. Education, fractional differential equation, existence, Hyers-Ulam stability, time-varying delays, Stability of solutions to ordinary differential equations, 0101 mathematics, 16. Peace & justice, 01 natural sciences, non-instantaneous impulses

File Description: application/xml

Access URL: https://zbmath.org/7439841
https://doi.org/10.1515/ms-2017-0427
https://www.degruyter.com/document/doi/10.1515/ms-2017-0427/html

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

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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

Justification and solvability of dynamical contact problems for generalized Marguerre–von Kármán shallow shells: Justification and solvability of dynamical contact problems for generalized Marguerre-von Kármán shallow shells

Authors: Abderrezak Ghezal, D. A. Chacha

Source: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 98:749-780

Subject Terms: asymptotic analysis, nonlinear shallow shell, Friction in solid mechanics, Existence of solutions of dynamical problems in solid mechanics, existence of solutions, dynamical problem, 0101 mathematics, Contact in solid mechanics, 01 natural sciences, Shells, Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics, unilateral contact

File Description: application/xml

Access URL: https://zbmath.org/7776868
https://doi.org/10.1002/zamm.201500296
http://ui.adsabs.harvard.edu/abs/2018ZaMM...98..749G/abstract

Multiple Nontrivial Solutions for a Floating Beam Equation via Critical Point Theory: Multiple nontrivial solutions for a floating beam equation via critical point theory

Authors: MICHELETTI, ANNA MARIA, SACCON, CLAUDIO

Source: Equadiff 99 ISBN: 9789810243593

Subject Terms: floating beam, Existence of solutions of dynamical problems in solid mechanics, critical point theory, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, Rods (beams, columns, shafts, arches, rings, etc.), 0101 mathematics, limit relative category, 01 natural sciences, Analysis

File Description: application/xml

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https://arpi.unipi.it/handle/11568/186784
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https://core.ac.uk/display/80229850
https://www.sciencedirect.com/science/article/pii/S0022039600938208
https://hdl.handle.net/11568/186784

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

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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

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https://doi.org/10.1017/s030821050000425x
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http://www.journals.cambridge.org/abstract_S030821050000425X

Local well‐posedness and blow‐up criteria of solutions for a rod equation: Local well-posedness and blow-up criteria of solutions for a rod equation

Authors: Yong Zhou

Source: Mathematische Nachrichten. 278:1726-1739

Subject Terms: Existence of solutions of dynamical problems in solid mechanics, well-posedness, Asymptotic behavior of solutions to PDEs, Nonlinear elasticity, Optimality conditions for free problems in two or more independent variables, Rods (beams, columns, shafts, arches, rings, etc.), Sensitivity, stability, well-posedness, 0101 mathematics, PDEs in connection with mechanics of deformable solids, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations, 01 natural sciences, blow-up

File Description: application/xml

Access URL: https://zbmath.org/2245325
https://doi.org/10.1002/mana.200310337
https://onlinelibrary.wiley.com/doi/10.1002/mana.200310337

On the energy decay of the linear thermoelastic plate with memory

Authors: GRASSELLI, MAURIZIO, J. Munoz Rivera, PATA, VITTORINO

Source: Journal of Mathematical Analysis and Applications. 309:1-14

Subject Terms: exponential stability, Asymptotic behavior of solutions to PDEs, Applied Mathematics, Other PDE from mechanics, \(C_0\)-semigroup, Exponential stability, decay of solutions, 01 natural sciences, Heat conduction with memory, Decay of solutions, Thermal effects in solid mechanics, Existence of solutions of dynamical problems in solid mechanics, 0101 mathematics, Thermoelastic Kirchhoff plate, Plates, C0-semigroup, Analysis, thermoelastic Kirchhoff plate, heat conduction with memory

File Description: application/xml

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https://doi.org/10.1016/j.jmaa.2004.10.071
https://ui.adsabs.harvard.edu/abs/2005JMAA..309....1G/abstract
https://re.public.polimi.it/handle/11311/553876
https://www.sciencedirect.com/science/article/pii/S0022247X04008315
http://www.im.ufrj.br/~rivera/Art_Pub/Italia04.pdf
https://core.ac.uk/display/55193921
https://hdl.handle.net/11311/553876

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

Solitary waves in nonlinear microstructured materials

Authors: Jüri Engelbrecht, Jaan Janno

Source: Journal of Physics A: Mathematical and General. 38:5159-5172

Subject Terms: anomalous dispersion, Soliton equations, normal dispersion, Solitary waves in solid mechanics, Existence of solutions of dynamical problems in solid mechanics, 0103 physical sciences, Micromechanical theories, existence, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/2190662
https://doi.org/10.1088/0305-4470/38/23/006
https://ui.adsabs.harvard.edu/abs/2005JPhA...38.5159J/abstract
http://iopscience.iop.org/article/10.1088/0305-4470/38/23/006/pdf
https://iopscience.iop.org/article/10.1088/0305-4470/38/23/006/pdf

Global Existence for Elastic Waves with Memory: Global existence for elastic waves with memory

Authors: GEORGIEV V., RUBINO, BRUNO, SAMPALMIERI, ROSELLA COLOMBA

Source: Archive for Rational Mechanics and Analysis. 176:303-330

Subject Terms: Cauchy problem, Nonlinear constitutive equations for materials with memory, Existence of solutions of dynamical problems in solid mechanics, Bulk waves in solid mechanics, nonlinear systems of viscoelasticity, multidimentional, global existence for Cauchy problem, asymptotic behavior, polynomial decay, 0101 mathematics, nonlinear viscoelasticity, 01 natural sciences

File Description: application/xml

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https://doi.org/10.1007/s00205-004-0345-2
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https://link.springer.com/article/10.1007/s00205-004-0345-2
http://ui.adsabs.harvard.edu/abs/2005ArRMA.176..303G/abstract
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https://hdl.handle.net/11568/93119
https://hdl.handle.net/11697/21196
https://doi.org/10.1007/s00205-004-0345-2

Hemivariational inequality for viscoelastic contact problem with slip-dependent friction

Authors: Migórski, Stanisław, Ochal, Anna

Source: Nonlinear Analysis: Theory, Methods & Applications. 61:135-161

Subject Terms: Contact problem, Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations, Friction, friction, 0211 other engineering and technologies, 02 engineering and technology, Contact in solid mechanics, 01 natural sciences, slip, Unilateral problems for linear hyperbolic equations and variational inequalities with linear hyperbolic operators, Slip, 0101 mathematics, Hemivariational inequality, viscoelasticity, Second-order nonlinear hyperbolic equations, nonconvex, Nonlinear constitutive equations for materials with memory, subdifferential, Viscoelasticity, hemivariational inequality, Variational inequalities, Friction in solid mechanics, Existence of solutions of dynamical problems in solid mechanics, contact problem, Nonconvex, Subdifferential

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Access URL: https://www.sciencedirect.com/science/article/pii/S0362546X04005619
https://ruj.uj.edu.pl/xmlui/handle/item/82287

Some geometrically nonlinear problems of deformation of inelastic plates and shallow shells

Authors: I. Yu. Tsvelodub

Source: Journal of Applied Mechanics and Technical Physics. 46:275-280

Subject Terms: 0203 mechanical engineering, Existence of solutions of dynamical problems in solid mechanics, 0103 physical sciences, uniqueness, iterative solution, 02 engineering and technology, Plates, Regularity of solutions of dynamical problems in solid mechanics, 01 natural sciences, Shells, continuous dependence on data, Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)

File Description: application/xml

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https://link.springer.com/article/10.1007/s10808-005-0054-0
https://ui.adsabs.harvard.edu/abs/2005JAMTP..46..275T/abstract