Topic
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, a structural mixture theory is developed for use in predicting the response of a structural frame to earthquake ground motion, where the frame is considered to be a mixture of columns and beams and is modeled as two interacting subsystems.
Abstract: A structural mixture theory is developed for use in predicting the response of a structural frame to earthquake ground motion. The frame is considered to be a mixture of columns and beams and is modeled as two interacting subsystems. The dynamic response of each subsystem is described by its own linear differential operator. The two responses are then subjected to matching conditions (i.e., boundary conditions) which couple them at the subsystem interface. The conditions include damping ratios, moment-of-inertia ratios, frequency ratios, and the effects of relative node/support motion. The solution of the coupled equations is carried out by means of a pair of coupled perturbation series. Example results from the numerical implementation of the theory are given, and compared with the result of the corresponding calculation using the Wilson-θ method and observed earthquake response. The structural mixture theory is valid for multiple-degree-of-freedom structures under the type of ground motions used in this study, and it appears to be applicable to systems with linear or nonlinear behavior.
4 citations
23 Apr 2012
TL;DR: In this article, the authors present an engineering model for synthetic vascular materials that have fluid passages much smaller than a characteristic structural length such as panel thickness, and the thermomechanical characteristics of this restricted class of multifunctional materials are delineated.
Abstract: New multifunctional materials that include fluid passages are being developed. These materials hold promise for future high-performance aerospace structures. The fluid in the passages can enhance heat transfer, control deformation, provide resin for healing or remodeling, disclose damage, and modify stiffness and damping. This paper presents an engineering model for synthetic vascular materials that have fluid passages much smaller than a characteristic structural length such as panel thickness. A class of idealized materials is modeled as a two-phase continuum with a solid phase and a fluid phase occupying every volume. In order to simulate fully multifunctional synthetic vascular materials, the model permits the solid and fluid phases to exchange mass, momentum and energy. Balance equations and the entropy inequality for general mixtures are taken from existing continuum mixture theory. These are augmented with certain definite types of solid-fluid interactions in order to enable adequately general, but workable, engineering analysis. The thermomechanical characteristics of this restricted class of multifunctional materials are delineated. By demanding that the law of increase of entropy be satisfied for all processes, much is deduced about the acceptable forms of constitutive equations. The paper concludes with a study of the uniaxial tension behavior of an idealized vascular material.
4 citations
TL;DR: In this paper, the basic plane boundary value problems of statics of the elastic mixture theory are considered when on the boundary are given: a displace- ment vector (the first problem), a stress vector(the second problem); dier- ences of partial displacements and the sum of stress vector components (the third problem).
Abstract: The basic plane boundary value problems of statics of the elastic mixture theory are considered when on the boundary are given: a displace- ment vector (the first problem), a stress vector (the second problem); dier- ences of partial displacements and the sum of stress vector components (the third problem). A simple method of deriving Fredholm type integral equa- tions of second order for these problems is given. The properties of the new operators are established. Using these operators and generalized Green for- mulas we investigate the above-mentioned integral equations and prove the existence and uniqueness of a solution of all the boundary value problems in a finite and an infinite domain.
4 citations
TL;DR: In this article, a two-phase mixture theory was developed to simulate the complex soil-water-structure interaction when soil undergoes large deformation, where each constitute is assumed to occupy a certain part of the macroscopic mixture and satisfies its own conservation equations.
4 citations