Surface effects of network materials based on strain gradient homogenized media
From MaRDI portal
Publication:5132088
DOI10.1177/1081286519877684zbMath1446.74197OpenAlexW2977336840WikidataQ127172551 ScholiaQ127172551MaRDI QIDQ5132088
No author found.
Publication date: 9 November 2020
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1177/1081286519877684
Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Micromechanics of solids (74M25) Effective constitutive equations in solid mechanics (74Q15) Homogenization in equilibrium problems of solid mechanics (74Q05)
Related Items
A benchmark strain gradient elasticity solution in two-dimensions for verifying computational approaches by means of the finite element method ⋮ The consistent coupling boundary condition for the classical micromorphic model: existence, uniqueness and interpretation of parameters ⋮ Dynamic micromechanical model for smart composite and reinforced shells
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On effective properties of materials at the nano- and microscales considering surface effects
- A direct approach to nonlinear shells with application to surface-substrate interactions
- Geometrically nonlinear higher-gradient elasticity with energetic boundaries
- Atomistic viewpoint of the applicability of microcontinuum theories
- The influence of surface tension on the effective stiffness of nanosize plates
- Surface interaction potentials in elasticity
- Cohesion field: Barenblatt's hypothesis as formal corollary of theory of continuous media with conserved dislocations
- Thermo-elastic properties of heterogeneous materials with imperfect interfaces: generalized Levin's formula and Hill's connections
- Elastic materials with couple-stresses
- A continuum theory of elastic material surfaces
- Addenda to our paper: A continuum theory of elastic material surfaces
- One-dimensional localisation studied with a second grade model
- A second gradient material resulting from the homogenization of an heterogeneous linear elastic medium
- Determination of the closure of the set of elasticity functionals
- Experiments and theory in strain gradient elasticity.
- Homogenization à la Piola produces second gradient continuum models for linear pantographic lattices
- Effective conductivity of composite with imperfect contact between elliptic fibers and matrix: Maxwell's homogenization scheme
- On the shell theory on the nanoscale with surface stresses
- Surface viscoelasticity and effective properties of thin-walled structures at the nanoscale
- Couple stress based strain gradient theory for elasticity
- General theory of continuous media with conserved dislocations
- Homogenization of a nonlinear elastic fibre-reinforced composite: a second gradient nonlinear elastic material
- Size-dependent effective elastic constants of solids containing nano-inhomogeneities with interface stress
- A Cosserat shell model for interphases in elastic media
- Nonlinear theory of simple micro-elastic solids. I
- A unified theory of thermomechanical materials
- On first strain-gradient theories in linear elasticity
- Protoelastic bodies with large deformation
- Effects of couple-stresses in linear elasticity
- Micro-structure in linear elasticity
- Asymptotic behaviour of a cylindrical elastic structure periodically reinforced along identical fibres
- Analytical continuum mechanics à la Hamilton–Piola least action principle for second gradient continua and capillary fluids
- A scaling law for properties of nano-structured materials
- Elastic surface—substrate interactions
- Plane deformations of elastic solids with intrinsic boundary elasticity
- Multi‐scale constitutive modelling of heterogeneous materials with a gradient‐enhanced computational homogenization scheme
- Homogenization methods and mechanics of generalized continua - part 2
- Microcontinuum Field Theories
- The Method of Virtual Power in Continuum Mechanics. Part 2: Microstructure
- Plastic continuum with microstructure, local second gradient theories for geomaterials: localization studies.