Large deformations of 1D microstructured systems modeled as generalized Timoshenko beams
From MaRDI portal
Publication:721300
DOI10.1007/s00033-018-0946-5zbMath1391.74028OpenAlexW2765817016MaRDI QIDQ721300
Antonio Battista, Pierre Seppecher, Alessandro Della Corte, Francesco dell'Isola
Publication date: 19 July 2018
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-018-0946-5
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Micromechanics of solids (74M25) Methods involving semicontinuity and convergence; relaxation (49J45)
Related Items
Maestro and his pupils: History of a scientific production ⋮ A Non-Autonomous Variational Problem Describing a Nonlinear Timoshenko Beam ⋮ A beam model for duoskelion structures derived by asymptotic homogenization and its application to axial loading problems ⋮ Free and forced linear dynamics of a homogeneous model for beam-like structures ⋮ Large Oscillations Around Curled Equilibrium Configurations of Uniformly Loaded Euler–Bernoulli Beams: Numerical and Experimental Evidences ⋮ Variational asymptotic homogenization of beam-like square lattice structures ⋮ Euromech 579, Arpino 3--8 April 2017: ``Generalized and microstructured continua: new ideas in modeling and/or applications to structures with (nearly)inextensible fibers -- a review of presentations and discussions ⋮ A damaged non-homogeneous Timoshenko beam model for a dam subjected to aging effects
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Three-dimensional instabilities of pantographic sheets with parabolic lattices: numerical investigations
- Geometrically nonlinear continuum thermomechanics with surface energies coupled to diffusion
- Non-standard coupled extensional and bending bias tests for planar pantographic lattices. I: Numerical simulations
- Numerical identification procedure between a micro-Cauchy model and a macro-second gradient model for planar pantographic structures
- Linear and non-linear interactions between static and dynamic bifurcations of damped planar beams
- An asymptotic non-linear model for thin-walled rods
- Fourier law, phase transitions and the stationary Stefan problem
- Nonlinear microstrain theories
- An asymptotic non-linear model for thin-walled rods with strongly curved open cross-section
- Justification of the kinematic assumptions for thin-walled rods with shallow profile
- A concise derivation of membrane theory from three-dimensional nonlinear elasticity
- Identification of two-dimensional pantographic structure via a linear D4 orthotropic second gradient elastic model
- The nonlinear theory of elastic shells with phase transitions
- A nonlinear model for inextensible rods as a low energy \(\varGamma\)-limit of three-dimensional nonlinear elasticity
- Advanced analysis on the real line
- Koiter's shell theory from the perspective of three-dimensional nonlinear elasticity
- Flexural-torsional flutter and buckling of braced foil beams under a follower force
- On generalized Cosserat-type theories of plates and shells: a short review and bibliography
- Geometric continuum mechanics and induced beam theories
- Necessary conditions and non-existence results for autonomous nonconvex variational problems
- Interface instability under forced displacements
- Equilibrium of elastic nets
- PLANE TRACTION PROBLEMS FOR INEXTENSIBLE NETWORKS
- Some developments in the theory of inextensible networks
- Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes, sive solutio problematis isoperimetrici lattissimo sensu accepti
- Truss Modular Beams with Deformation Energy Depending on Higher Displacement Gradients
- Nonlinear Generalized Beam Theory for open thin-walled members
- Can a Hencky-Type Model Predict the Mechanical Behaviour of Pantographic Lattices?
- Equilibria of a clamped Euler beam (Elastica) with distributed load: Large deformations
- Nonlinear Euler buckling
