M. Lederer, G. Khatibi, "Finite Element Implementation of a Novel Version of Strain Gradient Elasticity," WSEAS Transactions on Applied and Theoretical Mechanics, vol. 10, pp. 213-219, 2015, DOI:
M. Lederer, G. Khatibi. Finite Element Implementation of a Novel Version of Strain Gradient Elasticity.
WSEAS Transactions on Applied and Theoretical Mechanics. 2015;10:213-219.
WSEAS Transactions on Applied and Theoretical Mechanics
Print ISSN: 1991-8747, E-ISSN: 2224-3429
Volume 10, 2015
Finite Element Implementation of a Novel Version of Strain Gradient Elasticity
Authors: ,
Abstract: A novel version of strain gradient elasticity is proposed. This theory emerges from an older version of strain gradient elasticity suggested by Toupin and Mindlin through replacement of their asymmetric stress by a symmetric stress tensor. In this way one derives an improvement of the theory which is mathematically sound. Since analytical solutions are not easy to achieve within this approach, a numerical solution is elaborated with use of Finite Element Analysis. Thus, the theory is implemented in the commercial FEM software ABAQUS through user subroutine UEL. It is demonstrated for the example of a shear test that the stress singularities occurring in classical continuum theory have now disappeared.
Pages: 213-219 WSEAS Transactions on Applied and Theoretical Mechanics, ISSN / E-ISSN: 1991-8747 / 2224-3429, Volume 10, 2015, Art. #23 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
×
Citation Tools