Results 221 to 230 of about 10,789 (282)
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Generalized horseshoes and indecomposability for one-dimensional continua
Ukrainian Mathematical Journal, 1998See the review in Zbl 0913.58017.
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Electromagnetism and Generalized Continua
2013In this series of lectures, after an introduction of the most basic elements and some historical perspective on the matter, an exposition of electromagnetic source terms to be taken into account in the Galilean invariant continuum thermodynamics of deformable continua is first given. The emphasis here is placed on the notions of ponderomotive force and
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Propagation and Interaction of Nonlinear Waves in Generalized Continua
2020The main goal of the final chapter of the monograph is to study the features of the propagation of nonlinear elastic waves in metamaterials and constructions made of them.
Vladimir I. Erofeev, Igor S. Pavlov
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Generalized continua and non‐homogeneous boundary conditions in homogenisation methods
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2010AbstractExtensions of classical homogenization methods are presented that are used to replace a composite material by an effective generalized continuum model. Homogeneous equivalent second gradient and micromorphic models are considered, establishing links between the macroscopic generalized stress and strain measures and the fields of displacement ...
Forest, Samuel, Trinh, Duy-Khanh
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Ordering and transport in generalized continua with arbitrary order parameters
Le Journal de Physique IV, 1998With reference to two phase solids, Gurtin has recently formulated a unified framework for Ginzburg-Landau's and Cahn-Hilliard's equations. The present paper deals with its possible extension to generalized continua described by arbitrary tensor-order parameters. The role of the configurational entropy is discussed in detail.
Paolo Maria Mariano, Giuliano Augusti
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Continua and Generalities About Their Equations
2002A homogeneous continuum, chemically inert, in d dimensions is described by: (a) a region Ω in ambient space (Ω ⊂ ℝ d ), which is the occupied volume; (b) a function P → ρ(P) > 0, defined on Ω, giving the mass density; (c) a function P → T(P) defining the temperature; (d) a function P → s(P) defining the ...
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Generalized Continua as Models for Classical and Advanced Materials
2016This volume is devoted to an actual topic which is the focus world-wide of various research groups. It contains contributions describing the material behavior on different scales, new existence and uniqueness theorems, the formulation of constitutive equations for advanced materials.
Altenbach, Holm, Forest, Samuel
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Dynamics of continua and particles from general covariance of newtonian gravitation theory
Reports on Mathematical Physics, 1978Abstract The principle of general covariance, which states that the total action functional in General Relativity is independent of coordinate transformations, is shown to be also applicable to the four-dimensional geometric theory of Newtonian gravitation.
Duval, Ch., Künzle, H. P.
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Generation of picosecond light continua by parametric four-photon interactions in liquids and solids
Optical and Quantum Electronics, 1977Light continua extending from the i.r. to the u.v. are generated with picosecond laser pulses in liquids and solids. It is demonstrated that the light spectra in water are produced by stimulated parametric fourphoton interactions, which are resonantly enhanced by single and difference frequency resonances of the non-linear susceptibility $\chi^{(3 ...
Penzkofer, Alfons, Kaiser, W.
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Generalized Continua and Phase-Field Models: Application to Crystal Plasticity
2018Three continuum field theories are presented that account for the size-dependent behaviour of materials. The micromorphic medium is endowed with microdeformation degrees of freedom that describe the rotation and distortion of a triad of microstructural directions, like crystallographic lattice directions.
Forest, Samuel +4 more
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