A helical Cauchy-Born rule for special Cosserat rod modeling of nano and continuum rods
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Publication:287350
DOI10.1007/s10659-015-9562-1zbMath1338.74012OpenAlexW2341221008WikidataQ59743875 ScholiaQ59743875MaRDI QIDQ287350
Ajeet Kumar, Siddhant Kumar, Prakhar Gupta
Publication date: 26 May 2016
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10659-015-9562-1
molecular mechanicsCauchy-Born ruleelastic constitutive modelinghelical symmetryspecial Cosserat rod
Nonlinear elasticity (74B20) Effective constitutive equations in solid mechanics (74Q15) Molecular, statistical, and kinetic theories in solid mechanics (74A25)
Related Items (18)
Homogenization of fully nonlinear rod lattice structures: on the size of the RVE and micro structural instabilities ⋮ A computational framework to obtain nonlinearly elastic constitutive relations of special Cosserat rods with surface energy ⋮ Effect of intrinsic twist and orthotropy on extension-twist-inflation coupling in compressible circular tubes ⋮ A singularity free approach for Kirchhoff rods having uniformly distributed electrostatic charge ⋮ Two-scale off-and online approaches to geometrically exact elastoplastic rods ⋮ A Bending-Torsion Theory for Thin and Ultrathin Rods as a \(\boldsymbol{\Gamma}\)-Limit of Atomistic Models ⋮ A computational approach to obtain nonlinearly elastic constitutive relations of strips modeled as a special Cosserat rod ⋮ Uniformly strained anisotropic elastoplastic rods: determination of elastoplastic constitutive relations and yield surface in terms of rod's variables ⋮ Unusual extension–torsion–inflation couplings in pressurized thin circular tubes with helical anisotropy ⋮ Phonons in chiral nanorods and nanotubes: A Cosserat-rod-based continuum approach ⋮ Microscopic definition of internal force, moment, and associated stiffnesses in one-dimensional nanostructures at finite temperature ⋮ A thermoelastoplastic theory for special Cosserat rods ⋮ Effect of material nonlinearity on spatial buckling of nanorods and nanotubes ⋮ Geometrically exact elastoplastic rods: determination of yield surface in terms of stress resultants ⋮ A computational approach to obtain nonlinearly elastic constitutive relations of special Cosserat rods ⋮ Linearized Bayesian inference for Young’s modulus parameter field in an elastic model of slender structures ⋮ An asymptotic numerical method for continuation of spatial equilibria of special Cosserat rods ⋮ Effect of surface elasticity on extensional and torsional stiffnesses of isotropic circular nanorods
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