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Linear response of a planar FGM beam with non-linear variation of the mechanical properties
VerfasserBalduzzi, Giuseppe ; Aminbaghai, Mehdi ; Füssl, Josef
Erschienen in
8th ECCOMAS Thematic Conference on Smart Structures and Materials SMART 2017 = 6th International Conference on Smart Materials and Nanotechnology in Engineering SMN2017 / Guemes, Alfredo; Benjeddou, Ayech; Rodellar, José; Leng, Jinsong, Barcelona, 2017, S. 1285-1294
DokumenttypAufsatz in einem Sammelwerk
Schlagwörter (EN)Functionally Graded Material (FGM) beam / First order Shear Deformation Theory (FSDT) / non-linear distribution of stiffness / enhanced beam constitutive relation
Projekt-/ReportnummerAustrian Science Fund (FWF): M 2009-N32
URNurn:nbn:at:at-ubtuw:3-3062 Persistent Identifier (URN)
 Das Werk ist frei verfügbar
Linear response of a planar FGM beam with non-linear variation of the mechanical properties [0.32 mb]
Zusammenfassung (Englisch)

This contribution aims at proposing an effective First order Shear Deformation Theory (FSDT) capable to tackle the non-trivial effects that a continuous variation of the mechanical properties induces on stresses, displacement, and stiffness distributions within a planar beam made of Functionally Graded Material (FGM). In greater detail, the beam model assumes the Timoshenko beam kinematics and it results naturally expressed by six Ordinary Differential Equations (ODEs) considering both cross-section displacements and internal forces as unknowns. Furthermore, exploiting a recently proposed analysis tool, the paper provides also effective tools for the accurate reconstruction of cross-section stress distributions (with special emphasis on shear stresses) and the beam stiffness estimation. A simple numerical example demonstrates that the proposed beam model can catch with good accuracy the main effects induced by variations of the mechanical properties, allowing for a simple and effective modeling of a large class of structures and opening the doors to a new family of enhanced beam models.