Homogenization of fully nonlinear rod lattice structures: on the size of the RVE and micro structural instabilities
DOI10.1007/s00466-021-02123-0zbMath1495.74057OpenAlexW4200363015WikidataQ113326557 ScholiaQ113326557MaRDI QIDQ2133867
Paul Steinmann, Ludwig Herrnböck
Publication date: 5 May 2022
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-021-02123-0
representative volume elementfirst-order multiscale homogenizationgeometrically exact elastoplastic rodmicroscopic structural instability
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Bifurcation and buckling (74G60) Homogenization in equilibrium problems of solid mechanics (74Q05)
Related Items (1)
Uses Software
Cites Work
- A helical Cauchy-Born rule for special Cosserat rod modeling of nano and continuum rods
- Effect of material nonlinearity on spatial buckling of nanorods and nanotubes
- A multilevel computational strategy for handling microscopic and macroscopic instabilities
- Nonlinear stability-analysis of shell and contact-problems including branch-switching
- Multi-scale computational homogenization: trends and challenges
- A three-dimensional finite-strain rod model. II. Computational aspects
- Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory
- Computational inelasticity
- Numerical computation of algorithmic (consistent) tangent moduli in large-strain computational inelasticity
- Computational homogenization analysis in finite elasticity: material and structural instabilities on the micro- and macro-scales of periodic composites and their interaction.
- A computational approach to obtain nonlinearly elastic constitutive relations of special Cosserat rods
- Geometrically exact elastoplastic rods: determination of yield surface in terms of stress resultants
- Nonlinear dynamics and loop formation in Kirchhoff rods with implications to the mechanics of DNA and cables
- Nonlinear multiscale simulation of elastic beam lattices with anisotropic homogenized constitutive models based on artificial neural networks
- The Effect of Shear and Normal Forces on the Fully Plastic Moment of a Beam of Rectangular Cross Section
- A thermoelastoplastic theory for special Cosserat rods
- deal.II—A general-purpose object-oriented finite element library
- Strain-driven homogenization of inelastic microstructures and composites based on an incremental variational formulation
- Nonlinear problems of elasticity
- Unnamed Item
This page was built for publication: Homogenization of fully nonlinear rod lattice structures: on the size of the RVE and micro structural instabilities
