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Finite-Element Analysis of Polyhedra under Point and Line Forces in Second-Strain Gradient Elasticity
AbstractIn this paper, a finite-element implementation of linear second-strain gradient elasticity is introduced based on a Hellinger-Reissner variational principle in order to use standard finite-element methods. Displacement boundary conditions are applied to one or more vertices of different polyhedrons. As a result, a smooth deformation around deformed vertices of the polyhedrons can be observed, in contrast to the appearance of singularities in the first-order theory, i.e., a Cauchy continuum, where strain singularities appear in such cases.
Finite-Element Analysis of Polyhedra under Point and Line Forces in Second-Strain Gradient Elasticity
AbstractIn this paper, a finite-element implementation of linear second-strain gradient elasticity is introduced based on a Hellinger-Reissner variational principle in order to use standard finite-element methods. Displacement boundary conditions are applied to one or more vertices of different polyhedrons. As a result, a smooth deformation around deformed vertices of the polyhedrons can be observed, in contrast to the appearance of singularities in the first-order theory, i.e., a Cauchy continuum, where strain singularities appear in such cases.
Finite-Element Analysis of Polyhedra under Point and Line Forces in Second-Strain Gradient Elasticity
Bertram, Albrecht (author) / Giorgio, Ivan / Reiher, Jörg Christian
2016
Article (Journal)
English
Second strain gradient elasticity of nano-objects
| British Library Online Contents | 2016
Second strain gradient elasticity of nano-objects
| British Library Online Contents | 2016
Second strain gradient elasticity of nano-objects
| British Library Online Contents | 2016