Bending and wave propagation analysis of axially functionally graded beams based on a reformulated strain gradient elasticity theory
DOI10.1007/s10483-023-3042-6zbMath1529.74042OpenAlexW4387218276MaRDI QIDQ6084636
No author found.
Publication date: 2 December 2023
Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10483-023-3042-6
Hamilton principlevibration responsestatic bendingTimoshenko micro-beamChebyshev-Gauss-Lobatto methodmaterial inhomogeneity effect
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Inhomogeneity in solid mechanics (74E05) Micromechanics of solids (74M25) Elastic materials (74B99) Numerical and other methods in solid mechanics (74S99)
Cites Work
- Unnamed Item
- A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation
- Microstructure-dependent couple stress theories of functionally graded beams
- A microstructure-dependent Timoshenko beam model based on a modified couple stress theory
- Variational formulation of a modified couple stress theory and its application to a simple shear problem
- Wave dispersion in gradient elastic solids and structures: a unified treatment
- Experiments and theory in strain gradient elasticity.
- A hierarchy of simplified constitutive models within isotropic strain gradient elasticity
- Couple stress based strain gradient theory for elasticity
- On wave propagation in two-dimensional functionally graded porous rotating nano-beams using a general nonlocal higher-order beam model
- A couple of GDQM and iteration techniques for the linear and nonlinear buckling of bi-directional functionally graded nanotubes based on the nonlocal strain gradient theory and high-order beam theory
- Nonlinear vibration analysis of axially functionally graded shear-deformable tapered beams
- Large deformation analysis of a cantilever beam made of axially functionally graded material by homotopy analysis method
- Vibration of two-dimensional imperfect functionally graded (2D-FG) porous nano-/micro-beams
- On first strain-gradient theories in linear elasticity
- Micro-structure in linear elasticity
- Unified two-phase nonlocal formulation for vibration of functionally graded beams resting on nonlocal viscoelastic Winkler-Pasternak foundation
- A new Bernoulli–Euler beam model based on a reformulated strain gradient elasticity theory
- A non-classical theory of elastic dielectrics incorporating couple stress and quadrupole effects: part I – reconsideration of curvature-based flexoelectricity theory
- Variational solution for a cracked mosaic model of woven fabric composites.
This page was built for publication: Bending and wave propagation analysis of axially functionally graded beams based on a reformulated strain gradient elasticity theory
