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Analytical solution of the uniaxial extension problem for the relaxed micromorphic continuum and other generalized continua (including full derivations) [PDF]
Archive of Applied Mechanics, 2021 We derive analytical solutions for the uniaxial extension problem for the relaxed micromorphic continuum and other generalized continua. These solutions may help in the identification of material parameters of generalized continua which are able to ...
Gianluca Rizzi +2 more
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Reprint of: Wave momentum in models of generalized continua
Wave Motion, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Martine Rousseau, Gérard A Maugin
exaly +3 more sources
Wave momentum in models of generalized continua
Wave Motion, 2013 International audienceThe possibility of associating the notion of quasi-particles with elastic wave modes is explored for three basic models of generalized continua: strain-gradient model (weak nonlocality), elasticity with a microstructure such as in ...
Martine Rousseau, Gérard A Maugin
exaly +2 more sources
Generalized continua with applications: Euromech Solid Mechanics Conference 2018
Continuum Mechanics and Thermodynamics, 2019 Motivating by two minisymposia on generalized models of continua organized within the Euromech Solid Mechanics Conference, Bologna, Italy 2018, we introduce the corresponding special issue based on these ...
Holm Altenbach +2 more
exaly +2 more sources
Interactions in general continua with microstructure
Archive for Rational Mechanics and Analysis, 1990A quasistatic theory of continuous materials with microstructure is formulated in a highly mathematical fashion. The body is defined as a lattice and a microstructure is specified by assigning a finite number of order parameters which are interpreted as the coordinates, in a local chart, of a point of a differentiable manifold which is embedded in an ...
Gianfranco Capriz +1 more
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Whitney maps and generalized continua
Topology and its Applications, 2023In this paper the authors use Whitney maps within the class of generalized continua. Besides classical Whitney maps they use a special kind of such maps termed compactwise proper Whitney maps. They consider various types of connectedness and prove that they are Whitney properties.
Fernández-Bayort, Tomás +1 more
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Generalized inner bending continua for linear fiber reinforced materials
International Journal of Solids and Structures, 2011 International audienceThis paper deals with the effective behaviour of elastic materials periodically reinforced by linear slender elastic inclusions.
Claude Boutin, Jean Soubestre
exaly +3 more sources
Approaches to Generalized Continua
2012Decades ago, it has been recognized that for some materials the kinematics on meso- and micro-structural scale needs to be considered, if the material’s resistance to deformation exhibits a finite radius of interaction on atomic or molecule level, e.g.
Carlo Sansour, Sebastian Skatulla
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