On an elastic strain-limiting special Cosserat rod model
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Publication:6102908
DOI10.1142/s021820252350001xzbMath1517.74059arXiv2205.10875OpenAlexW4313524424MaRDI QIDQ6102908
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Publication date: 23 June 2023
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.10875
equilibrium statecontact forcecomplementary energyPoynting effectcontact coupletensile shearing bifurcation
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Bifurcation and buckling (74G60)
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Cites Work
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- On elastic solids with limiting small strain: modelling and analysis
- On a new class of models in elasticity
- Existence of solutions for the anti-plane stress for a new class of ``strain-limiting elastic bodies
- A mathematical theory of the mechanical behavior of continuous media
- On implicit constitutive theories.
- An exact solution in a nonlinear theory of rods
- Ordinary differential equations of non-linear elasticity. I: Foundations of the theories of non-linearly elastic rods and shells
- Modeling fracture in the context of a strain-limiting theory of elasticity: a single plane-strain crack
- Unsteady motions of a new class of elastic solids
- On the thermomechanics of materials that have multiple natural configurations
- On the thermomechanics of materials that have multiple natural configurations part I: Viscoelasticity and classical plasticity
- A thermodynamic framework for rate-type fluid models
- Viscoelasticity with limiting strain
- On an implicit model linear in both stress and strain to describe the response of porous solids
- Existence of large-data global weak solutions to a model of a strain-limiting viscoelastic body
- A thermodynamically consistent stress-rate type model of one-dimensional strain-limiting viscoelasticity
- Two-dimensional nonlinear stress and displacement waves for a new class of constitutive equations
- Local existence of solutions to the initial-value problem for one-dimensional strain-limiting viscoelasticity
- Circularly polarized wave propagation in a class of bodies defined by a new class of implicit constitutive relations
- The state of stress and strain adjacent to notches in a new class of nonlinear elastic bodies
- Modeling fracture in the context of a strain-limiting theory of elasticity: a single anti-plane shear crack
- Kirchhoff's problem of helical equilibria of uniform rods
- A promising approach for modeling biological fibers
- Non-Linear Elastic Bodies Exhibiting Limiting Small Strain
- Conspectus of concepts of elasticity
- Direct determination of stresses from the stress equations of motion and wave propagation for a new class of elastic bodies
- Analysis and approximation of a strain-limiting nonlinear elastic model
- Contacting crack faces within the context of bodies exhibiting limiting strains
- Some topics on a new class of elastic bodies
- Kirchhoff’s problem for nonlinearly elastic rods
- Material Symmetry and Chirality in Nonlinearly Elastic Rods
- A note on the wave equation for a class of constitutive relations for nonlinear elastic bodies that are not Green elastic
- A Note on Plane Strain and Plane Stress Problems for a New Class of Elastic Bodies
- Pure bending of an elastic prismatic beam made of a material with density-dependent material parameters
- Existence and Uniqueness of Global Weak Solutions to Strain-Limiting Viscoelasticity with Dirichlet Boundary Data
- An implicit constitutive relation for describing the small strain response of porous elastic solids whose material moduli are dependent on the density
- Nonlinear elasticity with limiting small strain for cracks subject to non-penetration
- Longitudinal shock waves in a class of semi-infinite stretch-limited elastic strings
- Nonlinear problems of elasticity
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