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Mixture theory

About: Mixture theory is a research topic. Over the lifetime, 616 publications have been published within this topic receiving 19350 citations.


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Journal ArticleDOI
TL;DR: In this paper, a reformulation of the Jordan-Darcy-Cattaneo (JDC) poroacoustic model using mixture theory is presented, and the one-dimensional (1D) version of the resulting system is then applied to the description of first ‘startup’ acceleration waves, and then those exhibited under the traveling wave reduction, in a gas that saturates a rigid, porous solid.

11 citations

Journal ArticleDOI
TL;DR: In this article, a nonlinear theory of heat-conducting micropolar mixtures in Lagrangian description was derived and the initial boundary value problem was formulated and a uniqueness result was established.
Abstract: We derive a nonlinear theory of heat-conducting micropolar mixtures in Lagrangian description. The kinematics, balance laws, and constitutive equations are examined and utilized to develop a nonlinear theory for binary mixtures of micropolar thermoelastic solids. The initial boundary value problem is formulated. Then, the theory is linearized and a uniqueness result is established.

11 citations

Journal ArticleDOI
TL;DR: In this paper, an approximate nonlinear theory is developed to describe waveguide-type propagation in unidirectional fibrous composites, which is an extension of a previously developed laminate formulation, explicitly considers the effects of thermodynamics, finite deformations, and nonlinear (elastic-plastic) constitutive behavior.
Abstract: An approximate nonlinear theory is developed to describe waveguide‐type propagation in unidirectional fibrous composites. The model, which is an extension of a previously developed laminate formulation, explicitly considers the effects of thermodynamics, finite deformations, and nonlinear (elastic‐plastic) constitutive behavior. The theory contains microstructure and yields information on stress, deformation, and internal energy within individual components. The resulting equations assume the form of a one‐dimensional binary mixture theory. Transient wave propagation solutions are obtained numerically, and are compared with essentially exact data from a well‐known two‐dimensional finite difference code in an effort to extract information concerning accuracy and computational economy of the mixture model.

10 citations

Journal ArticleDOI
TL;DR: In this paper, the authors investigate the asymptotic behavior of solutions to the initial boundary value prob- lem for the interaction between the temperature field and the porosity fields in a homogeneous and isotropic mixture from the linear theory of porous Kelvin-Voigt materials.
Abstract: In this paper, we investigate the asymptotic behavior of solutions to the initial boundary value prob- lem for the interaction between the temperature field and the porosity fields in a homogeneous and isotropic mixture from the linear theory of porous Kelvin-Voigt materials. Our main result is to establish conditions which insure the analyticity and the exponential stability of the corresponding semigroup. We show that under certain conditions for the coefficients we obtain a lack of exponential stability. A numerical scheme is given.

10 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202311
20228
20219
20208
201913
201811