196,378 research outputs found

    Non-linear Dynamics of Pantographic Fabrics: Modelling and Numerical Study

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    In this work, the dynamical behavior of a pantographic sheet undergoing sinusoidal (in time) imposed displacement is numerically investigated. The used model has been largely exploited to analyse the quasi-static behavior of pantographic materials. Here we propose to use a non-linear generalization of such a model for the description of a pantographic material dynamical behavior.</p

    Covariant momentum map thermodynamics for parametrized field theories

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    A general-covariant statistical framework capable of describing classical fluctuations of the gravitational field is a thorny open problem in theoretical physics, yet ultimately necessary to understand the nature of the gravitational interaction, and a key to quantum gravity. Inspired by Souriau's symplectic generalization of the Maxwell-Boltzmann-Gibbs equilibrium in Lie group thermodynamics, we investigate a space-time-covariant formulation of statistical mechanics for parametrized first-order field theories, as a simplified model sharing essential general covariant features with canonical general relativity. Starting from a covariant multi-symplectic phase space formulation, we define a general-covariant notion of Gibbs state in terms of the covariant momentum map associated with the lifted action of the diffeomorphisms group on the extended phase space. We show how such a covariant notion of equilibrium encodes the whole information about symmetry, gauge and dynamics carried by the theory, associated with a canonical spacetime foliation, where the covariant choice of a reference frame reflects in a Lie algebra-valued notion of local temperature. We investigate how physical equilibrium, hence time evolution, emerges from such a state and the role of the gauge symmetry in the thermodynamic description

    Multi-symplectic Lie Group Thermodynamics for Covariant Field Theories

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    We propose a multi-symplectic generalisation of Souriau’s Lie group thermodynamics for first order parametrised classical field theories. A new notion of general covariant Gibbs state functional is defined in terms of the multi-momentum map associated to the lifted action of the diffeomorphisms group on the fields extended phase space. We elaborate on the use of such functional toward a covariant statistical mechanic description of fully constrained field theories, at the crossroad between geometrical methods and information theory

    Perspectives in Generalized Continua

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    The International Conference on Nonlinear Solid Mechanics (ICoNSoM) 2019, held in Rome from 16th to 19th of June 2019, had as main goal to gather together researchers in the field of nonlinear Solid Mechanics in a stimulating research environment. This work is a rational report of activities of the mini-symposia “Perspectives in Generalized Continua” held during the conference. The main aim is to provide the interesting reader with the main topics treated during the conference and to furnish all the relevant bibliography. Additional information, such as the abstracts of all the talks, can be found at the official web-site of the conference: http://www.memocsevents.eu/iconsom2019/
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