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Related papers: Nonlinear free flexural vibrations of functionally…

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Functionally graded porous (FGP) plates have been introduced as modern structural members which open a new window to optimal and functional designs. Despite the need to study the effect of graded porosity on the mechanical behavior of FGP…

Materials Science · Physics 2021-10-05 S. K. Jalali , M. J. Beigrezaee , Nicola M. Pugno

A one dimensional experiment in granular dynamics is carried out to test the thermodynamic theory of weakly excited granular systems [Hayakawa and Hong, Phys. Rev. Lett. {\bf 78}, 2764(1997)] where granular particles are treated as spinless…

Materials Science · Physics 2009-09-25 Nathan C. Blanchard , Paul V. Quinn , Daniel Ou-Yang , Joseph Both , Daniel C. Hong

In many applications, viscoelastic properties of reinforced composites need to be determined prior to their real service life. Such properties can be assured by destructive and non-destructive tests. In this paper, a novel non-destructive…

Materials Science · Physics 2017-02-28 Mohammad Mehdi Jalili , Seyyed Yahya Mousavi , Amir Soheil Pirayeshfar

This paper is devoted to the study of the flatness property of linear time-invariant fractional systems. In the framework of polynomial matrices of the fractional derivative operator, we give a characterization of fractionally flat outputs…

Computational Physics · Physics 2015-09-10 Stéphane Victor , Pierre Melchior , Jean Lévine , Alain Oustaloup

We describe a theoretical and computational approach to calculate the vibrational, elastic, and thermal properties of materials from the low-temperature quantum regime to the high-temperature anharmonic regime. This approach is based on…

Materials Science · Physics 2024-09-20 Dylan A. Folkner , Zekun Chen , Giuseppe Barbalinardo , Florian Knoop , Davide Donadio

Molecular dynamics simulations were carried out to test the thermodynamic theory of weakly excited, two-dimensional granular systems [Hayakawa and Hong, Phys. Rev. Lett. 78, 2764 (1997)], where granular materials are viewed as a collection…

Statistical Mechanics · Physics 2009-09-25 Paul V. Quinn , Daniel C. Hong

Three-dimensional thermoelastic analysis in presence of electro magnetic field is investigated of a rectangular plate. In the context of Green-Naghdi model-II, fractional order energy equation is adopted for a rotating anisotropic…

Classical Physics · Physics 2018-08-23 B. Das , S. Chakraborty , A. Lahiri

In this paper, the bending and free flexural vibration behaviour of sandwich plates with carbon nanotube (CNT) reinforced facesheets are investigated using QUAD-8 shear flexible element developed based on higher-order structural theory.…

Numerical Analysis · Mathematics 2014-03-10 Sundararajan Natarajan , Mohamed Haboussi , Ganapathi Manickam

In article, the exact solution of sinusoidal loaded simply supported elastic transversally inextensible rectangular plate is given. The expressions for displacement and stress components are derived and asymptotic expansion with respect to…

General Physics · Physics 2010-07-19 Milan Batista

In this paper, the finite free-form beam element is formulated by the isogeometric approach based on the Timoshenko beam theory to investigate the free vibration behavior of the beams. The non-uniform rational B-splines (NURBS) functions…

Computational Engineering, Finance, and Science · Computer Science 2024-11-26 Balakrishnan Devarajan

We present a phase field formulation for fracture in functionally graded materials (FGMs). The model builds upon homogenization theory and accounts for the spatial variation of elastic and fracture properties. Several paradigmatic case…

Materials Science · Physics 2019-04-19 Hirshikesh , Sundararajan Natarajan , Ratna K. Annabattula , Emilio Martínez-Pañeda

A generalized Dirac equation is derived in order to describe charge carriers moving in corrugated graphene, which is the case for temperatures above 10{\deg}K due to the presence of flexural phonons. Such interaction is taken into account…

Materials Science · Physics 2015-10-12 Richard Kerner , Gerardo Naumis

We present a thermodynamic theory of weakly excited two-dimensional granular systems from the view point of elementary excitations of spinless Fermion systems. We introduce a global temperature T that is associated with the acceleration…

Materials Science · Physics 2009-10-30 Hisao Hayakawa , Daniel C. Hong

Nowadays, nonhomogeneous and periodic ferromagnetic materials are the subject of a growing interest. Actually such periodic configurations often combine the attributes of the constituent materials, while sometimes, their properties can be…

Analysis of PDEs · Mathematics 2016-02-17 François Alouges , Giovanni Di Fratta

On the basis of energy conservation law an without utilizing Linear Fracture Mechanics (LFM) postulates the equation of a real-structure material elastic-plastic fracture has been derived. With the help of this equation the force and energy…

Materials Science · Physics 2013-06-13 Leonid S. Kremnev

We construct strong solutions for a nonlinear wave equation for a thin vibrating plate described by nonlinear elastodynamics. For sufficiently small thickness we obtain existence of strong solutions for large times under appropriate scaling…

Analysis of PDEs · Mathematics 2011-01-06 H. Abels , M. G. Mora , S. Müller

Nonlinear thermoelastic systems play a crucial role in understanding thermal conductivity, stresses, elasticity, and temperature interactions. This research focuses on finding solutions to these systems in their fractional forms, which is a…

Analysis of PDEs · Mathematics 2025-01-13 Qasim Khan

Vertical movement of zirconia-yttria stabilized 2 mm balls is measured by a laser facility at the surface of a vibrated 3D granular matter under gravity. Realizations z(t) are measured from the top of the container by tuning the fluidized…

Statistical Mechanics · Physics 2008-03-12 J. E. Fiscina , M. O. Caceres

The Frequency Response Functions (FRFs) are the most widely used functions to characterise the dynamic behaviour of structures. The natural frequencies and damping behaviour can be easily and quickly detected from a Bode diagram. The modal…

Classical Physics · Physics 2024-04-09 Dario Di Maio

A one dimensional experiment in granular dynamics is carried out to test the thermodynamic theory of weakly excited granular systems [Hayakawa and Hong, Phys. Rev. Lett. 78, 2764(1997)] where granular particles are treated as spinless…

Statistical Mechanics · Physics 2009-09-29 Holly M. Kokstein , Paul V. Quinn