Journal ArticleDOI
Free vibration analysis of size-dependent shear deformable functionally graded cylindrical shell on the basis of modified couple stress theory
TLDR
In this paper, size-dependent equations of motion for functionally graded cylindrical shell were developed using shear deformation model and rotation inertia, where material properties of the shell were assumed as continuously variable along thickness, consistent with the variation in the component's volume fraction based on power law distribution.About:
This article is published in Composite Structures.The article was published on 2015-02-01. It has received 191 citations till now. The article focuses on the topics: Functionally graded material & Equations of motion.read more
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Journal ArticleDOI
A review of continuum mechanics models for size-dependent analysis of beams and plates
TL;DR: In this paper, a comprehensive review on the development of higher-order continuum models for capturing size effects in small-scale structures is presented, mainly focusing on the size-dependent beam, plate and shell models developed based on the nonlocal elasticity theory, modified couple stress theory and strain gradient theory.
Journal ArticleDOI
Bending, buckling and vibration of axially functionally graded beams based on nonlocal strain gradient theory
TL;DR: In this paper, the bending, buckling and vibration problems of axially functionally graded (FG) beams are solved by a generalized differential quadrature method, and the influence of power-law variation and size-dependent parameters on the axially FG beam behavior is investigated.
Journal ArticleDOI
Post-buckling analysis of functionally graded nanobeams incorporating nonlocal stress and microstructure-dependent strain gradient effects
TL;DR: In this article, a size-dependent Euler-Bernoulli beam model is proposed to investigate the scaling effect on the post-buckling behaviors of functionally graded (FG) nanobeams with the von Karman geometric nonlinearity.
Journal ArticleDOI
Free vibration of carbon nanotubes reinforced (CNTR) and functionally graded shells and plates based on FSDT via discrete singular convolution method
TL;DR: In this paper, free vibration analysis of conical and cylindrical shells and annular plates made of composite laminated and functionally graded materials (FGMs) is investigated for FGM cases.
Journal ArticleDOI
Vibration of two-dimensional imperfect functionally graded (2D-FG) porous nano-/micro-beams
TL;DR: In this paper, the vibration behavior of 2D-FG nano and microbeams is analyzed based on the Timoshenko beam theory, and the effects of FG power indexes along length and thickness are studied along each other.
References
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Book
Mechanics of Laminated Composite Plates and Shells : Theory and Analysis, Second Edition
TL;DR: The use of composite materials in engineering structures continues to increase dramatically, and there have been significant advances in modeling for general and composite materials and structures in particular as discussed by the authors. But the use of composites is not limited to the aerospace domain.
Journal ArticleDOI
Indentation size effects in crystalline materials: A law for strain gradient plasticity
William D. Nix,Huajian Gao +1 more
TL;DR: In this article, the indentation size effect for crystalline materials can be accurately modeled using the concept of geometrically necessary dislocations, which leads to the following characteristic form for the depth dependence of the hardness: H H 0 1+ h ∗ h where H is the hardness for a given depth of indentation, h, H 0 is a characteristic length that depends on the shape of the indenter, the shear modulus and H 0.
Book
Mechanics of laminated composite plates and shells : theory and analysis
TL;DR: In this article, the authors present an analysis of the properties of composite materials using the classical and first-order theories of Laminated Composite Plates and shells, as well as a detailed analysis of their properties.
Journal ArticleDOI
Strain gradient plasticity: Theory and experiment
TL;DR: In this paper, a deformation theory of plasticity is introduced to represent in a phenomenological manner the relative roles of strain hardening and strain gradient hardening, which is a non-linear generalization of Cosserat couple stress theory.