Mathematical justification of Kelvin-Voigt beam models by asymptotic methods
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Publication:438627
DOI10.1007/s00033-011-0180-xzbMath1392.74059OpenAlexW1965874247MaRDI QIDQ438627
Á. D. Rodríguez-Arós, Juan M. Viaño
Publication date: 31 July 2012
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-011-0180-x
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Linear constitutive equations for materials with memory (74D05)
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Cites Work
- Perturbations singulières dans les problèmes aux limites et en contrôle optimal
- A class of integro-differential variational inequalities with applications to viscoelastic contact
- Mathematical justification of viscoelastic beam models by asymptotic methods
- Asymptotic theory and analysis for displacements and stress distribution in nonlinear elastic straight slender rods
- A justification of the von Kármán equations
- Asymptotic derivation of a general linear model for thin-walled elastic rods
- Models and analysis of quasistatic contact. Variational methods
- Numerical analysis of a frictional contact problem for viscoelastic materials with long-term memory
- Existence results for dynamic adhesive contact of a rod
- Lectures on viscoelasticity theory
- Existence for a thermoviscoelastic beam model of brakes
- Une justification des équations de la thermoélasticité des poutres à section variable par des méthodes asymptotiques
- An asymptotic general model for linear elastic homogeneous anisotropic rods
- Mathematical justification of a one-dimensional model for general elastic shallow arches
- Asymptotic analysis of Poisson's equation in a thin domain and its application to thin-walled elastic beams and tubes
- Asymptotic analysis of torsional and stretching modes of thin rods
- A CLASS OF EVOLUTIONARY VARIATIONAL INEQUALITIES WITH VOLTERRA-TYPE TERM
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