Journal ArticleDOI
Size-dependent free flexural vibration behavior of functionally graded nanoplates
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TLDR
In this paper, size dependent linear free flexural vibration behavior of functionally graded (FG) nanoplates using the iso-geometric based finite element method was investigated using non-uniform rational B-splines.About:
This article is published in Computational Materials Science.The article was published on 2012-12-01. It has received 197 citations till now. The article focuses on the topics: Elasticity (physics) & Finite element method.read more
Citations
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A nonlocal strain gradient theory for wave propagation analysis in temperature-dependent inhomogeneous nanoplates
TL;DR: In this article, wave propagation analysis of an inhomogeneous functionally graded (FG) nanoplate subjected to nonlinear thermal loading is investigated by the means of nonlocal strain gradient theory.
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
A nonlocal zeroth-order shear deformation theory for free vibration of functionally graded nanoscale plates resting on elastic foundation
TL;DR: In this article, a zeroth-order shear deformation theory for free vibration analysis of functionally graded (FG) nanoscale plates resting on an elastic foundation is presented, which takes into account the influences of small scale and the parabolic variation of the transverse shear strains across the thickness of the nanoscales plate and thus, it avoids the employ use of shear correction factors.
Journal ArticleDOI
Non-local analysis of free vibration of bi-directional functionally graded Euler–Bernoulli nano-beams
Mohammad Zamani Nejad,Amin Hadi +1 more
TL;DR: In this paper, the free vibration analysis of Euler-Bernoulli nano-beams made of bi-directional functionally graded material (BDFGM) with small scale effects is investigated.
Journal ArticleDOI
A refined quasi-3D isogeometric analysis for functionally graded microplates based on the modified couple stress theory
Hoang X. Nguyen,Tuan Nguyen,M. Abdel-Wahab,Stéphane Bordas,Stéphane Bordas,Hung Nguyen-Xuan,Hung Nguyen-Xuan,Thuc P. Vo +7 more
TL;DR: The NURBS-based isogeometric analysis is integrated to exactly describe the geometry and approximately calculate the unknown fields with higher-order derivative and continuity requirements and is successfully applied to study the static bending, free vibration and buckling responses of rectangular and circular functionally graded microplates.
References
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Journal ArticleDOI
Average stress in matrix and average elastic energy of materials with misfitting inclusions
Trevor A. Mori,K Tanaka +1 more
TL;DR: In this paper, a method of calculating the average internal stress in the matrix of a material containing inclusions with transformation strain is presented. But the authors do not consider the effects of the interaction among the inclusions and of the presence of the free boundary.
Journal ArticleDOI
Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement
TL;DR: In this article, the concept of isogeometric analysis is proposed and the basis functions generated from NURBS (Non-Uniform Rational B-Splines) are employed to construct an exact geometric model.
Book
The NURBS Book
Les A. Piegl,Wayne Tiller +1 more
TL;DR: This chapter discusses the construction of B-spline Curves and Surfaces using Bezier Curves, as well as five Fundamental Geometric Algorithms, and their application to Curve Interpolation.
Journal ArticleDOI
A new approach to the application of Mori-Tanaka's theory in composite materials
TL;DR: In this paper, a reconsideration and reformulation of the Mori-Tanaka's theory in its application to the computation of the effective properties of composites is presented, which is a straightforward exposition and interpretation of the method which are different than those existing in previous formulations.