In this paper, a finite-element implementation of linear second-strain gradient elasticity is introduced based on a HellingerReissner 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 / Reiher, Jã¶rg Christian; Giorgio, Ivan; Bertram, Albrecht. - In: JOURNAL OF ENGINEERING MECHANICS. - ISSN 0733-9399. - STAMPA. - 143:2(2017), p. 04016112. [10.1061/(ASCE)EM.1943-7889.0001184]
Finite-element analysis of polyhedra under point and line forces in second-strain gradient elasticity
Giorgio, Ivan
;
2017
Abstract
In this paper, a finite-element implementation of linear second-strain gradient elasticity is introduced based on a HellingerReissner 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.File | Dimensione | Formato | |
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