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Nonlinear dynamics of uniformly loaded <i>Elastica</i>: Experimental and numerical evidence of motion around curled stable equilibrium configurations - MaRDI portal

Nonlinear dynamics of uniformly loaded <i>Elastica</i>: Experimental and numerical evidence of motion around curled stable equilibrium configurations (Q6145895)

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scientific article; zbMATH DE number 7785932

Language	Label	Description	Also known as
English	Nonlinear dynamics of uniformly loaded <i>Elastica</i>: Experimental and numerical evidence of motion around curled stable equilibrium configurations	scientific article; zbMATH DE number 7785932

Statements

scholarly article

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Nonlinear dynamics of uniformly loaded <i>Elastica</i>: Experimental and numerical evidence of motion around curled stable equilibrium configurations (English)

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Antonio Battista

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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

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publication date

9 January 2024

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zbMATH Keywords

discrete modelling

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Hencky bar-chain

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nonlinear beam

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1002/zamm.201800121

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An energy-based method to determine material constants in nonlinear rheology with applications

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Homogenization of periodic graph-based elastic structures

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Strain gradient and generalized continua obtained by homogenizing frame lattices

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Extensional \textit{Elastica} in large deformation as \(\Gamma \)-limit of a discrete 1D mechanical system

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Convergence of Hencky-Type Discrete Beam Model to Euler Inextensible Elastica in Large Deformation: Rigorous Proof

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Truss Modular Beams with Deformation Energy Depending on Higher Displacement Gradients

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On a thermodynamic theory of rods with two temperature fields

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Cosserat-Type Rods

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On the constitutive equations of viscoelastic micropolar plates and shells of differential type

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Identification of multiple open and fatigue cracks in beam-like structures using wavelets on deflection signals

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A Ritz approach for the static analysis of planar pantographic structures modeled with nonlinear Euler-Bernoulli beams

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Kirchhoff’s problem for nonlinearly elastic rods

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Analytical continuum mechanics <i>à la</i> Hamilton–Piola least action principle for second gradient continua and capillary fluids

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Locking-free variational formulations and isogeometric analysis for the Timoshenko beam models of strain gradient and classical elasticity

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Mechanical metamaterials: a state of the art

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A locking-free model for Reissner–Mindlin plates: Analysis and isogeometric implementation via NURBS and triangular NURPS

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Macroscopic description of microscopically strongly inhomogenous systems: a mathematical basis for the synthesis of higher gradients metamaterials

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An analytical assessment of finite element and isogeometric analyses of the whole spectrum of Timoshenko beams

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On the whole spectrum of Timoshenko beams. I: A theoretical revisitation

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Forms of the dissipation function for a class of viscoplastic models

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Simplified analysis of a generalized bias test for fabrics with two families of inextensible fibres

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Equilibria of a clamped Euler beam (<i>Elastica</i>) with distributed load: Large deformations

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The complete works of Gabrio Piola: Volume II. Commented English translation of the original Italian works

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At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: An underestimated and still topical contribution of Gabrio Piola

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Bias extension test for pantographic sheets: numerical simulations based on second gradient shear energies

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Higher-gradient continua: The legacy of Piola, Mindlin, Sedov and Toupin and some future research perspectives

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Designing a light fabric metamaterial being highly macroscopically tough under directional extension: first experimental evidence

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Cauchy tetrahedron argument applied to higher contact interactions

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The complete works of Gabrio Piola: Volume I. Commented English translation of the original Italian works, published between 1825 and 1856

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Comment to ``Hypertractions and hyperstresses convey the same mechanical information`` by Prof. Podio-Guidugli and Prof. Vianello and some related papers on higher gradient theories

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The postulations <i>á la D’Alembert</i> and <i>á la Cauchy</i> for higher gradient continuum theories are equivalent: a review of existing results

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How contact interactions may depend on the shape of Cauchy cuts in \(N\)th gradient continua: approach ``à la d'Alembert''

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A two-dimensional gradient-elasticity theory for woven fabrics

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A CRITICAL EXAMINATION OF THE REPRESENTATION OF MASSIVE AND ELASTIC BODIES BY SYSTEMS OF RIGD MASSES ELASTICALLY CONNECTED

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Director-based beam finite elements relying on the geometrically exact beam theory formulated in skew coordinates

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Flexural-torsional flutter and buckling of braced foil beams under a follower force

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Free vibrations of finite-memory material beams

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A revisitation of the paradox of discontinuous trajectory for a mass particle moving on a taut string

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Continuum modelling of pantographic sheets for out-of-plane bifurcation and vibrational analysis

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Consistent tangent operator for an exact Kirchhoff rod model

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Variational formulation of generalized interfaces for finite deformation elasticity

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A displacement-based approach to geometric instabilities of a film on a substrate

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Geometrically nonlinear higher-gradient elasticity with energetic boundaries

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Computational aspects of growth-induced instabilities through eigenvalue analysis

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A unified computational framework for bulk and surface elasticity theory: a curvilinear-coordinate-based finite element methodology

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Modelling size-dependent bending, buckling and vibrations of 2D triangular lattices by strain gradient elasticity models: applications to sandwich beams and auxetics

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Form II of Mindlin's second strain gradient theory of elasticity with a simplification: for materials and structures from nano- to macro-scales

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On the use of the multiple scale method in solving ‘difficult’ bifurcation problems

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Nonlinear hysteretic damping effects on the post-critical behaviour of the visco-elastic Beck’s beam

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Wave propagation in pantographic 2D lattices with internal discontinuities

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On the possible effective elasticity tensors of 2-dimensional and 3-dimensional printed materials

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Identification of higher-order elastic constants for grain assemblies based upon granular micromechanics

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Variational formulations, model comparisons and numerical methods for Euler–Bernoulli micro- and nano-beam models

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Un résultat d'homogénéisation pour un matériau élastique renforcé périodiquement par des fibres élastiques de très grande rigidité

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A second gradient material resulting from the homogenization of an heterogeneous linear elastic medium

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A review on 2D models for the description of pantographic fabrics

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On one-dimensional finite-strain beam theory: the plane problem

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Anisotropic and dispersive wave propagation within strain-gradient framework

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On the validity range of strain-gradient elasticity: a mixed static-dynamic identification procedure

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Dynamics of a flexible beam and a system of rigid rods, with fully inverse (one-sided) boundary conditions

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On the effect of shear stiffness on the plane deformation of linear second gradient pantographic sheets

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A targeted review on large deformations of planar elastic beams: extensibility, distributed loads, buckling and post-buckling

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Mechanical response of fabric sheets to three-dimensional bending, twisting, and stretching

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Variational theory for spatial rods

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Discrete is it enough? The revival of Piola-Hencky keynotes to analyze three-dimensional \textit{Elastica}

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Hencky-type discrete model for pantographic structures: numerical comparison with second gradient continuum models

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Hencky Bar-Chain Model for Buckling and Vibration of Beams with Elastic End Restraints

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A lumped parameter method in the nonlinear analysis of flexible multibody systems

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Variational formulations and isogeometric analysis for the dynamics of anisotropic gradient-elastic Euler-Bernoulli and shear-deformable beams

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1002/ZAMM.201800121

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Sitelinks

Mathematics(1 entry)

mardi Publication:6145895

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