Show simple item record

dc.contributor.authorVelcic, I.
dc.description.abstractIn this paper we derive, by means of Γ-convergence, the shallow-shell models starting from non-linear three-dimensional elasticity. We use the approach analogous to the one for shells and plates. We start from the minimization formulation of the general three-dimensional elastic body, which is subjected to normal volume forces and free boundary conditions and do not presuppose any constitutional behavior. To derive the model we need to propose how the order of magnitude of the external loads is related to the thickness of the body h, as well as to the order of the 'geometry' of the shallow shell. We analyze the situation when the external normal forces are of order hα, where α > 2. For α = 3 we obtain the Marguerre-von Kármán model and for α > 3 the linearized Marguerre-von Kármán model. For α ∈ (2,3) we are able to obtain only the lower bound for the Γ-limit. This is analogous to recent results for the ordinary shell models.
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.subjectasymptotic analysis
dc.subjectgamma convergence
dc.subjectMarguerre-von Kármán model
dc.subjectshallow shell
dc.titleShallow-shell models by Γ-convergence
dc.journal.titleMathematics and Mechanics of Solidsen_US

Files in this item


This item appears in the following Collection(s)

Show simple item record

Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España