On boundary layers observed in some 1D second-gradient theories
From MaRDI portal
Publication:2080401
DOI10.1007/978-3-031-04548-6_17zbMath1496.74008OpenAlexW4285194645MaRDI QIDQ2080401
Emilio Barchiesi, Ivan Giorgio, Alessandro Ciallella
Publication date: 7 October 2022
Full work available at URL: https://doi.org/10.1007/978-3-031-04548-6_17
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids (74-10)
Related Items (1)
Cites Work
- B-spline interpolation of Kirchhoff-Love space rods
- Hencky-type discrete model for pantographic structures: numerical comparison with second gradient continuum models
- The effective stiffness of a nanoporous rod
- The method of virtual power in the mechanics of continuous media. I. Second-gradient theory
- Numerical simulations of classical problems in two-dimensional (non) linear second gradient elasticity
- A strain gradient variational approach to damage: a comparison with damage gradient models and numerical results
- On the validity range of strain-gradient elasticity: a mixed static-dynamic identification procedure
- A geometrically nonlinear Euler-Bernoulli beam model within strain gradient elasticity with isogeometric analysis and lattice structure applications
- A homogenized theory for functionally graded Euler-Bernoulli and Timoshenko beams
- An efficient blended mixed B-spline formulation for removing membrane locking in plane curved Kirchhoff rods
- Pantographic beam: a complete second gradient 1D-continuum in plane
- Consistent tangent operator for an exact Kirchhoff rod model
- An isogeometric implicit \(G^1\) mixed finite element for Kirchhoff space rods
- Constitutive models for strongly curved beams in the frame of isogeometric analysis
- Truss Modular Beams with Deformation Energy Depending on Higher Displacement Gradients
- Equilibria of a clamped Euler beam (Elastica) with distributed load: Large deformations
- Homogenization of frame lattices leading to second gradient models coupling classical strain and strain-gradient terms
- Large in-plane elastic deformations of bi-pantographic fabrics: asymptotic homogenization and experimental validation
- A discrete formulation of Kirchhoff rods in large-motion dynamics
- A targeted review on large deformations of planar elastic beams: extensibility, distributed loads, buckling and post-buckling
- Variational formulations, model comparisons and numerical methods for Euler–Bernoulli micro- and nano-beam models
- Isogeometric analysis of plane-curved beams
- At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: An underestimated and still topical contribution of Gabrio Piola
- On the polar nature and invariance properties of a thermomechanical theory for continuum-on-continuum homogenization
- Finite element formulations for constrained spatial nonlinear beam theories
This page was built for publication: On boundary layers observed in some 1D second-gradient theories