Constructal design applied to the elastic buckling of thin plates with holes
Abstract: Elastic buckling is an instability phenomenon that can occur if a slender and thin plate is subjected to axial compression. An important characteristic of the buckling is that the instability may occur at a stress level that is substantially lower than the material yield strength. Besides, the presence of holes in structural plate elements is common. However these perforations cause a redistribution in plate membrane stresses, significantly altering their stability. In this paper the Bejan’s Constructal Design was employed to optimize the geometry of simply supported, rectangular, thin perforated plates subjected to the elastic buckling. Three different centered hole shapes were considered: elliptical, rectangular and diamond. The objective function was to maximize the critical buckling load. The degree of freedom H/L (ratio between width and length of the plate) was kept constant, while H0/L0 (ratio between the characteristic dimensions of the holes) was optimized for several hole volume fractions (ϕ). A numerical model employing the Lanczos method and based on the finite element method was used. The results showed that, for lower values of ϕ the optimum geometry is the diamond hole. For intermediate and higher values of ϕ, the elliptical and rectangular hole, respectively, led to the best performance.
- Standort
-
Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
-
Online-Ressource
- Sprache
-
Englisch
- Erschienen in
-
Constructal design applied to the elastic buckling of thin plates with holes ; volume:3 ; number:3 ; year:2013 ; pages:475-483 ; extent:9
Open engineering ; 3, Heft 3 (2013), 475-483 (gesamt 9)
- Urheber
-
Rocha, Luiz
Isoldi, Liércio
Vasconcellos Real, Mauro
Santos, Elizaldo
Correia, Anderson
Lorenzini, Giulio
Biserni, Cesare
- DOI
-
10.2478/s13531-013-0105-x
- URN
-
urn:nbn:de:101:1-2412141730597.018932856540
- Rechteinformation
-
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
-
15.08.2025, 07:36 MESZ
Datenpartner
Deutsche Nationalbibliothek. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.
Beteiligte
- Rocha, Luiz
- Isoldi, Liércio
- Vasconcellos Real, Mauro
- Santos, Elizaldo
- Correia, Anderson
- Lorenzini, Giulio
- Biserni, Cesare
Ähnliche Objekte (12)
Unified operator description, nonlinear buckling and post-buckling analysis of thin elastic shells
On Von Kármán Equations and the Buckling of a Thin Circular Elastic Plate
Critical circumferential wavelength of elastic buckling of longitudinal compressed thin-walled cylindrical shells
Buckling of elastic structures under tensile loads
Post-buckling behaviour of a growing elastic rod
Tactile Sensing and Grasping Through Thin‐Shell Buckling
Tactile Sensing and Grasping Through Thin‐Shell Buckling
On Timoshenko thin elastic inclusions inside elastic bodies
Robust design of buckling critical thin-walled shell structures
Elastic buckling of simply supported stiffened steel plates with circular opening
Buckling of Thin-Walled Cylinders from Three Dimensional Nonlinear Elasticity
Peridynamic computations for thin elastic rods
Unified operator description, nonlinear buckling and post-buckling analysis of thin elastic shells
On Von Kármán Equations and the Buckling of a Thin Circular Elastic Plate
Critical circumferential wavelength of elastic buckling of longitudinal compressed thin-walled cylindrical shells
Buckling of elastic structures under tensile loads
Post-buckling behaviour of a growing elastic rod
Tactile Sensing and Grasping Through Thin‐Shell Buckling
Tactile Sensing and Grasping Through Thin‐Shell Buckling
On Timoshenko thin elastic inclusions inside elastic bodies
Robust design of buckling critical thin-walled shell structures
Elastic buckling of simply supported stiffened steel plates with circular opening
Buckling of Thin-Walled Cylinders from Three Dimensional Nonlinear Elasticity
Peridynamic computations for thin elastic rods
Unified operator description, nonlinear buckling and post-buckling analysis of thin elastic shells
On Von Kármán Equations and the Buckling of a Thin Circular Elastic Plate
Critical circumferential wavelength of elastic buckling of longitudinal compressed thin-walled cylindrical shells
Buckling of elastic structures under tensile loads
Post-buckling behaviour of a growing elastic rod
Tactile Sensing and Grasping Through Thin‐Shell Buckling
Tactile Sensing and Grasping Through Thin‐Shell Buckling
On Timoshenko thin elastic inclusions inside elastic bodies
Robust design of buckling critical thin-walled shell structures
Elastic buckling of simply supported stiffened steel plates with circular opening
Buckling of Thin-Walled Cylinders from Three Dimensional Nonlinear Elasticity