A theory of magneto-elastic nanorods obtained through rigorous dimension reduction
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Publication:2109467
DOI10.1016/j.apm.2022.01.028zbMath1503.74030arXiv2108.07043OpenAlexW3196008627MaRDI QIDQ2109467
Giuseppe Tomassetti, Jacopo Ciambella, Martin Kružík
Publication date: 21 December 2022
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.07043
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Electromagnetic effects in solid mechanics (74F15) Existence theories for free problems in two or more independent variables (49J10) Variational principles of physics (49S05)
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- Nonlocal theories for bending, buckling and vibration of beams
- Equilibrium theory for magnetic elastomers and magnetoelastic membranes
- Injectivity and self-contact in nonlinear elasticity
- Convexity conditions and existence theorems in nonlinear elasticity
- Derivation of the general form of elasticity tensor of the transverse isotropic material by tensor derivative
- Magnetoelastic modelling of elastomers
- A theory of thin films of martensitic materials with applications to microactuators
- Buckling analyses of three characteristic-lengths featured size-dependent gradient-beam with variational consistent higher order boundary conditions
- A size-dependent elastic theory for magneto-electro-elastic materials
- Nonlocal theoretical approaches and atomistic simulations for longitudinal free vibration of nanorods/nanotubes and verification of different nonlocal models
- Exact solutions for post-buckling deformations of nanorods
- On finitely strained magnetorheological elastomers
- Injective weak solutions in second-gradient nonlinear elasticity
- Scale Effects in Media With Periodic and Nearly Periodic Microstructures, Part I: Macroscopic Properties
- A nonlinear theory for fibre-reinforced magneto-elastic rods
- Linearized von Kármán theory for incompressible magnetoelastic plates
- Shape programming of a magnetic elastica
- Mathematical Methods in Continuum Mechanics of Solids
- Coupled Magnetomechanical Equations for Magnetically Saturated Insulators
- Direct methods in the calculus of variations
- Magnetoelastic thin films at large strains
