Structural analysis of gradient elastic components

A. E. Giannakopoulos; K. Stamoulis

doi:10.1016/j.ijsolstr.2006.09.033

Structural analysis of gradient elastic components

A. E. Giannakopoulos, K. Stamoulis

Research output: Contribution to journal › Article › Academic › peer-review

70 Citations (Scopus)

Abstract

The present study investigates the size effects in the problems of cantilever beam bending and cracked bar tension within the gradient elasticity framework. Analytical solutions for metrics that characterize both the normalized stiffness and toughness are derived. It is found that the gradient elastic beam exhibits a significantly stiffer but also more brittle response, while the gradient cracked bar exhibits considerable toughening. These results compare well with respective finite element computations.

Original language	English
Pages (from-to)	3440-3451
Number of pages	12
Journal	International Journal of Solids and Structures
Volume	44
Issue number	10
DOIs	https://doi.org/10.1016/j.ijsolstr.2006.09.033
Publication status	Published - 15 May 2007
Externally published	Yes

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10.1016/j.ijsolstr.2006.09.033

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title = "Structural analysis of gradient elastic components",

abstract = "The present study investigates the size effects in the problems of cantilever beam bending and cracked bar tension within the gradient elasticity framework. Analytical solutions for metrics that characterize both the normalized stiffness and toughness are derived. It is found that the gradient elastic beam exhibits a significantly stiffer but also more brittle response, while the gradient cracked bar exhibits considerable toughening. These results compare well with respective finite element computations.",

keywords = "Bending stiffness, Fatigue, Gradient elasticity, Micro-electromechanical systems (MEMS), Microstructural lengths, Size effects, Structural analysis, Toughness",

author = "Giannakopoulos, {A. E.} and K. Stamoulis",

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AU - Stamoulis, K.

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AB - The present study investigates the size effects in the problems of cantilever beam bending and cracked bar tension within the gradient elasticity framework. Analytical solutions for metrics that characterize both the normalized stiffness and toughness are derived. It is found that the gradient elastic beam exhibits a significantly stiffer but also more brittle response, while the gradient cracked bar exhibits considerable toughening. These results compare well with respective finite element computations.

KW - Bending stiffness

KW - Fatigue

KW - Gradient elasticity

KW - Micro-electromechanical systems (MEMS)

KW - Microstructural lengths

KW - Size effects

KW - Structural analysis

KW - Toughness

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