Journal ArticleDOI
Size dependent buckling analysis of microbeams based on modified couple stress theory with high order theories and general boundary conditions
TLDR
In this paper, the buckling analysis of three microbeam models based on modified couple stress theory is investigated, and a generalized differential quadrature (GDQ) method is employed to solve the governing differential equations.About:
This article is published in International Journal of Engineering Science.The article was published on 2014-01-01. It has received 130 citations till now. The article focuses on the topics: Timoshenko beam theory & Boundary value problem.read more
Citations
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Journal ArticleDOI
Nonlinear free vibration of a functionally graded nanobeam using nonlocal strain gradient theory and a novel Hamiltonian approach
TL;DR: In this paper, a size-dependent beam model is proposed for nonlinear free vibration of a functionally graded (FG) nanobeam with immovable ends based on the nonlocal strain gradient theory (NLSGT) and Euler-Bernoulli beam theory in conjunction with the von-Karman's geometric nonlinearity.
Journal ArticleDOI
Buckling analysis of size-dependent nonlinear beams based on a nonlocal strain gradient theory
TL;DR: In this paper, a size-dependent nonlinear Euler-Bernoulli beam is considered in the framework of the nonlocal strain gradient theory and the geometric nonlinearity due to the stretching effect of the midplane of the size dependent beam was considered, and the governing equations and boundary conditions were derived by employing the Hamilton principle.
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
Size-dependent vibration analysis of nanobeams based on the nonlocal strain gradient theory
TL;DR: In this paper, the free vibration of nanobeams based on the non-local strain gradient theory was investigated and the results were compared with other beam models and other classical and non-classical theories.
Journal ArticleDOI
Thermo-mechanical dynamics of perfect and imperfect Timoshenko microbeams
Hamed Farokhi,Mergen H. Ghayesh +1 more
TL;DR: In this paper, the authors investigated the three-dimensional motion characteristics of perfect and imperfect Timoshenko microbeams under mechanical and thermal forces; the mechanical properties of the microbeam are considered temperature-dependent.
References
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Journal ArticleDOI
A Simple Higher-Order Theory for Laminated Composite Plates
TL;DR: In this paper, a higher-order shear deformation theory of laminated composite plates is developed, which accounts for parabolic distribution of the transverse shear strains through the thickness of the plate.
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.
Journal ArticleDOI
Couple stress based strain gradient theory for elasticity
TL;DR: In this paper, an equilibrium relation is developed to govern the behavior of the couples, which constrained the couple stress tensor to be symmetric, and the symmetric curvature tensor became the only properly conjugated high order strain measures in the theory to have a real contribution to the total strain energy of the system.
Journal ArticleDOI
Elastic materials with couple-stresses
TL;DR: HAL as discussed by the authors is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not, which may come from teaching and research institutions in France or abroad, or from public or private research centers.
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A microstructure-dependent Timoshenko beam model based on a modified couple stress theory
H. M. Ma,Xin-Lin Gao,J. N. Reddy +2 more