A thermoelastoplastic theory for special Cosserat rods
From MaRDI portal
Publication:3300730
DOI10.1177/1081286517754132zbMath1458.74089OpenAlexW2790302940WikidataQ59744529 ScholiaQ59744529MaRDI QIDQ3300730
Smriti, Ajeet Kumar, Paul Steinmann, Alexander Grossmann
Publication date: 29 July 2020
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://opus4.kobv.de/opus4-fau/frontdoor/index/index/docId/13979
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Thermal effects in solid mechanics (74F05)
Related Items
Homogenization of fully nonlinear rod lattice structures: on the size of the RVE and micro structural instabilities ⋮ Unified static equilibrium modeling and analysis of elastic rods with large deformations for complex constraints ⋮ Mixed isogeometric collocation for geometrically exact 3D beams with elasto-visco-plastic material behavior and softening effects ⋮ Two-scale off-and online approaches to geometrically exact elastoplastic rods ⋮ Special Cosserat rods with rate-dependent evolving natural configurations ⋮ Uniformly strained anisotropic elastoplastic rods: determination of elastoplastic constitutive relations and yield surface in terms of rod's variables ⋮ Geometrically exact elastoplastic rods: determination of yield surface in terms of stress resultants
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A helical Cauchy-Born rule for special Cosserat rod modeling of nano and continuum rods
- Dynamic equations of thermoelastic Cosserat rods
- Effect of material nonlinearity on spatial buckling of nanorods and nanotubes
- Variational principles of continuum mechanics. I: Fundamentals
- Numerical formulations of elasto-viscoplastic response of beams accounting for the effect of shear
- On thermal effects in the theory of rods
- On a stress resultant geometrically exact shell model. Part V: Nonlinear plasticity: Formulation and integration algorithms
- A kinematically exact finite element formulation of planar elastic-plastic frames
- Tendril perversion in intrinsically curved rods
- On a thermodynamic theory of rods with two temperature fields
- Nonlinear dynamics and loop formation in Kirchhoff rods with implications to the mechanics of DNA and cables
- A simple nonlinear thermodynamic theory of arbitrary elastic beams
- On the nonlinear theory of rods
- A viscoelastic thin rod model for large deformations: Numerical examples
- HYPO-ELASTIC POTENTIALS
- The Effect of Shear and Normal Forces on the Fully Plastic Moment of a Beam of Rectangular Cross Section
- On the theory of rods. I. Derivations from the three-dimensional equations
- Material Symmetry and Chirality in Nonlinearly Elastic Rods
- Thermodynamical Theory of Directed Curves
- Nonlinear problems of elasticity
- Cosserat theories: Shells, rods and points