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Continuum mechanics
About: Continuum mechanics is a research topic. Over the lifetime, 5042 publications have been published within this topic receiving 181027 citations.
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TL;DR: In this article, a multi-field continuum model for the simulation of cantilevered anionic hydrogels is presented, which is capable of simulating hydrogel bending actuators and also more complex systems such as gel finger grippers.
Abstract: A systematic development of a chemo–electro–mechanical continuum model—for the application of electrically-stimulated cantilevered hydrogels—and its numerical implementation are presented in this work. The governing equations are derived within the framework of the continuum mechanics of mixtures. The finite element method is then utilized for the numerical treatment of the model. For the numerical simulation a cantilevered strip of an anionic hydrogel immersed in a NaCl solution bath is considered. An electric field is applied to electrically stimulate the aforementioned hydrogel. The application of the electric field alters the initial concentrations of the ionic species due to the chemo–electrical coupling. The gradual increase in the applied electric field leads to the bending movement of the hydrogel. Concluding, the presented multi-field continuum model is capable of simulating hydrogel bending actuators and also more complex systems e.g. gel finger grippers.
39 citations
TL;DR: In this article, a fractional-order finite element method is used to model both stiffening and softening response in these slender structures. But the results are limited to a single frame-invariant framework.
39 citations
TL;DR: The Hamiltonian formulation of equations in continuum mechanics through generalized brackets is presented in this article, which is based upon the Poisson bracket description of continuous systems and the entropy dissipation postulated in irreversible thermodynamics.
Abstract: The Hamiltonian formulation of equations in continuum mechanics through generalized brackets is presented here in order to demonstrate the inherent structure and similarity between a variety of transport phenomena. The bracket formulation is based upon the Poisson bracket description of continuous systems and the entropy dissipation postulated in irreversible thermodynamics. This general formulation is presented for both single-component and multicomponent systems, as well as for systems with internal structure, for example, viscoelastic fluids
39 citations
TL;DR: In this article, an elastic continuum with a continuous distribution of stored angular momentum (called gyricity) is considered, and modal parameters (coefficients) including integrals of the mode shapes, and show they must satisfy a number of useful identities.
Abstract: This paper builds on the theory of gyroelastic dynamics presented in a recent paper by the authors. An elastic continuum with a continuous distribution of stored angular momentum ( called gyricity) is considered. We introduce the modal parameters (coefficients) thereof, including integrals of the mode shapes, and show they must satisfy a number of useful identities. In addition to the coefficients (p α and h α ) associated with momentum and angular momentum which also arise in the dynamics of a purely elastic body, there is a third coefficient (g α ) wholly attributable to the gyricity distribution. The modal parameter analysis presented here is an extension of that for purely elastic continua. The analysis concludes with a simple demonstration of the theoretical results using a spatially discretized model of a cantilevered rod.
39 citations
01 Jan 1975
TL;DR: The beginning of the phenomenological studies of viscosity goes back to the ancient Greeks and later the Romans characteristically applied what they had learned in practical ingenious ways [1].
Abstract: Viscosity is a transport phenomenon. Viscosity is the transport of momentum due to a velocity gradient. The beginning of the phenomenological studies of viscosity goes back to the ancient Greeks and later the Romans characteristically applied what they had learned in practical ingenious ways [1]. Modern theories of viscosity of liquids are based on continuum mechanics and molecular theory.
39 citations