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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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TL;DR: In this article , the continuum theory of mixtures is used to describe a medium consisting of a solid phase and fluid phase, both compressible and attributed distinct deformation, temperature, entropy, and internal energy fields.
1 citations
TL;DR: In this article, the authors consider the problem of modeling the hygro-thermo-elastic behavior of polymeric composites in the context of Mixture Theory and derive constitutive equations to model the coupled hygrothermo elastic response of idealized fiber-reinforced composite materials undergoing small deformations.
1 citations
TL;DR: In this article, a mixture theory framework is used to capture the changes in cement concrete exposed to sodium sulfate till cracks develop, and the results obtained for ingress without chemical reactions agree with those predicted by Fick's equation.
Abstract: Here mixture theory is used to capture the changes in cement concrete exposed to sodium sulfate till cracks develop. Toward this, the mixture is assumed to be made of eleven constituents of which the sodium sulfate and water move relative to themselves and the remaining nine solid constituents. The nine solid constituents constrained to move together are the eight relevant chemical constituents in concrete that react with sodium sulfate and all the other remaining chemical constituents of concrete that do not react with sulfates. Constitutive assumptions needed to be made within this mixture theory framework are the same as those reported by Gouder and Saravanan (Acta Mech 227(11):3123–3146, 2016). Within this framework of mixture theory, the radial ingress and reaction of sodium sulfate solution with the concrete cylinder sealed at top and bottom, exposed to a constant concentration of sodium sulfate at its outer surface, are formulated. The resulting nonlinear governing differential equations are converted into a system of nonlinear algebraic equations using a forward finite difference scheme in space and a backward difference in time. The nonlinear algebraic equations are solved simultaneously using constrained minimization technique till the water reaches the center of the cylinder. The results obtained for ingress without chemical reactions agree with those predicted by Fick’s equation. The axial expansion of the cylinder and the increase in the value of Young’s modulus of the part of concrete which reacted with sulfates agree qualitatively with the experiments.
1 citations
01 Jan 1984
TL;DR: In this paper, a specific microstructural model for the chemical decomposition of a shock-loaded HNS explosive has been implemented in a mixture theory and interaction terms in the mass balance equations have been made consistent with known decomposition kinetics.
Abstract: A specific microstructural model for the chemical decomposition of shock-loaded HNS explosive has been implemented in a mixture theory. Interaction terms in the mass balance equations have been made consistent with known decomposition kinetics and interaction terms in the energy balance laws are formulated to describe the conjectured microstructural processes. Results of calculations compare favorably with experiments. This study identifies a way in which nonequilibrium processes in the shock environment can be studied and highlights an ambiguity which exists in data interpretation.
1 citations