Results 11 to 20 of about 25,076 (257)
On the polar nature and invariance properties of a thermomechanical theory for continuum-on-continuum homogenization [PDF]
Mathematics and Mechanics of Solids, 2021 This paper makes a rigorous case for considering the continuum derived by the homogenization of extensive quantities as a polar medium in which the balances of angular momentum and energy contain contributions due to body couples and couple stresses defined in terms of the underlying microscopic state.
Kranthi K Mandadapu +2 more
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Homogenization of a multiscale multi-continuum system [PDF]
Applicable Analysis, 2020 We study homogenization of a locally periodic two-scale dual-continuum system where each continuum interacts with the other. Equations for each continuum are written separately with interaction terms (exchange terms) added. The homogenization limit depends strongly on the scale of this continuum interaction term with respect to the microscopic scale ...
Park, Richard Jun Sur, Hoang, Viet Ha
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Equivalent Shell Model of Elastic Gridshells Including the Effect of the Geometric Curvature
Applied Mechanics, 2021 In this work, an equivalent continuum of a barrel gridshell is introduced. Constitutive identification procedures based on periodic homogenization are provided in the literature for this purpose, based on a flat Representative Element Volume (REV ...
Maria Luisa Regalo +3 more
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A homogeneous continuum that is non-Effros [PDF]
Proceedings of the American Mathematical Society, 1991 Using a very geometric, intuitive construction, an example is given of a homogeneous, compact, connected Hausdorff space ( X ,
Bellamy, David P., Porter, Kathryn F.
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Another homogeneous plane continuum [PDF]
Transactions of the American Mathematical Society, 1959 1. History of problem. A set X is homogeneous if for each pair of points x, y of X there is a homeomorphism of X onto itself that takes x into y. In 1920 Knaster and Kuratowski [21] raised the following question: If a nondegenerate bounded plane continuum is homogeneous, is it necessarily a simple closed curve?
Bing, R. H., Jones, F. Burton
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Continuum Percolation in Stochastic Homogenization and the Effective Viscosity Problem [PDF]
Archive for Rational Mechanics and Analysis, 2023 30 pages.
Mitia Duerinckx, Antoine Gloria
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Anyonic bound states in the continuum
Communications Physics, 2023 Bound states in the continuum (BICs), which are spatially localized states with energies lying in the continuum of radiating modes, are discovered both in single- and few-body systems with suitably engineered spatial potentials and particle interactions.
Weixuan Zhang +3 more
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Homogenization of Parabolic Equations with a Continuum of Space and Time Scales [PDF]
SIAM Journal on Numerical Analysis, 2008 This paper addresses the issue of homogenization of linear divergence form parabolic operators in situations where no ergodicity and no scale separation in time or space are available. Namely, we consider divergence form linear parabolic operators in $Ω\subset \R^n$ with $L^\infty(Ω\times (0,T))$-coefficients.
Houman Owhadi, Lei Zhang 0027
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Results in Applied Mathematics, 2020 We consider a compact approximation of the kinetic velocity distribution function by a sum of isotropic Gaussian densities in the problem of spatially homogeneous relaxation.
Alexander Alekseenko +2 more
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Solution of one-dimensional softening materials plasticity problems
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2008 One-dimensional problems for plastically softening material are solved on the basis of structural (micro-non-homogeneous media) and phenomenological (continuum mechanics) models.
E. A. Andreeva
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