On variational principles in coupled strain-gradient elasticity
From MaRDI portal
Publication:5048103
DOI10.1177/10812865221081854OpenAlexW4220741598MaRDI QIDQ5048103
Holm Altenbach, Lidiia Nazarenko, Rainer Glüge
Publication date: 17 November 2022
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1177/10812865221081854
variational principlescoupled strain-gradient elasticityprinciple of minimum of complementary energyprinciple of the minimum of potential energy
Related Items
Uniqueness theorem in coupled strain gradient elasticity with mixed boundary conditions, Effective length scale parameters of the fiber-reinforced composites
Cites Work
- A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation
- Geometrically nonlinear higher-gradient elasticity with energetic boundaries
- A review on 2D models for the description of pantographic fabrics
- A classification of higher-order strain-gradient models --- linear analysis
- Elastic materials with couple-stresses
- A simple approach to solve boundary-value problems in gradient elasticity
- Symmetry classes for elasticity tensors
- Gradient elasticity and nonstandard boundary conditions
- Homogenization à la Piola produces second gradient continuum models for linear pantographic lattices
- A unifying variational framework for stress gradient and strain gradient elasticity theories
- Strain gradient and generalized continua obtained by homogenizing frame lattices
- On the well posedness of static boundary value problem within the linear dilatational strain gradient elasticity
- Variational formulation of a simplified strain gradient elasticity theory and its application to a pressurized thick-walled cylinder problem
- Continuum theory for mechanical metamaterials with a cubic lattice substructure
- Multipolar continuum mechanics
- On a theory of nonlocal elasticity of bi-Helmholtz type and some applications
- Problems of the Flamant-Boussinesq and Kelvin type in dipolar gradient elasticity
- On first strain-gradient theories in linear elasticity
- Micro-structure in linear elasticity
- Generalized Hooke's law for isotropic second gradient materials
- The Method of Virtual Power in Continuum Mechanics. Part 2: Microstructure
- A critical comparison of nonlocal and gradient-enhanced softening continua
- Positive definiteness in coupled strain gradient elasticity
- Calculation of deformations in nanocomposites using the block multipole method with the analytical-numerical account of the scale effects
- Uniqueness theorem in coupled strain gradient elasticity with mixed boundary conditions