Nonlinear bending of microarchitectural thin beams within strain gradient elasticity

Loc Tran (Speaker)

Activity: Talk or presentation typesConference presentation


This paper investigates the bending behaviour of beams by taking into account (1) material length scales according to Mindlin’s strain gradient elasticity theory of form II, (2) small strains but moderate displacements based on the von Kármán strain assumptions. The principle of virtual work is used to derive the nonlinear governing equations in form of a sixth-order partial differential equation. Thereafter, a conforming Galerkin method based on an isogeometric approach is adopted to naturally fulfill the stringent C2-continuity required by the beam model. Through numerical benchmarks, the accuracy and validity of the present theoretical formulations at linear and nonlinear regimes are confirmed.
Period24 Oct 201925 Oct 2019
Event titleNordic Seminar on Computational Mechanics
Event typeSeminar
Conference number32
LocationOulu, Finland
Degree of RecognitionInternational