Second-grade elasticity revisited
From MaRDI portal
Publication:3300735
DOI10.1177/1081286518754616zbMath1444.74008OpenAlexW2799288176WikidataQ129924092 ScholiaQ129924092MaRDI QIDQ3300735
Publication date: 29 July 2020
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: https://eprints.soton.ac.uk/418435/1/Froiio_Zervos_2017_MMS.pdf
finite element discretizationboundary conditiongradient theorylinearized formulationhigher-order stresslinear isotropic constitutive law
Finite element methods applied to problems in solid mechanics (74S05) Equations linearized about a deformed state (small deformations superposed on large) (74B15)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Tractions, balances, and boundary conditions for nonsimple materials with application to liquid flow at small-length scales
- Applications of tensor functions in solid mechanics
- Elastic materials with couple-stresses
- Cauchy's theorem in classical physics
- Mixed finite element formulations of strain-gradient elasticity problems
- Edge contact forces and quasi-balanced power
- The role of strain gradients in the grain size effect for polycrystals.
- How contact interactions may depend on the shape of Cauchy cuts in \(N\)th gradient continua: approach ``à la d'Alembert
- Theories of elasticity with couple-stress
- Multipolar continuum mechanics
- Mechanics of granular materials: the discrete and the continuum descriptions juxtaposed
- Nonlinear theory of simple micro-elastic solids. I
- An axiomatic foundation for continuum thermodynamics
- On first strain-gradient theories in linear elasticity
- A note on Cauchy's stress theorem
- Effects of couple-stresses in linear elasticity
- Micro-structure in linear elasticity
- On Cauchy's equations of motion
- A method for creating a class of triangular C1 finite elements
- Linear plane wave propagation and normal transmission and reflection at discontinuity surfaces in second gradient 3D continua
- A higher-order triangular plate bending element revisited
- A three-dimensionalC1finite element for gradient elasticity
- Finite elements for elasticity with microstructure and gradient elasticity
- Isoparametric Hermite elements
- On Natural Boundary Conditions in Linear 2nd-Grade Elasticity
- The Method of Virtual Power in Continuum Mechanics. Part 2: Microstructure
- Das Cosserat Kontinuum
- 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
- Modelling of localisation and scale effect in thick-walled cylinders with gradient elastoplasticity
- Cauchy tetrahedron argument applied to higher contact interactions
This page was built for publication: Second-grade elasticity revisited
