Journal ArticleDOI
Couple stress based strain gradient theory for elasticity
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TLDR
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.About:
This article is published in International Journal of Solids and Structures.The article was published on 2002-05-01. It has received 2725 citations till now. The article focuses on the topics: Infinitesimal strain theory & Strain energy density function.read more
Citations
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Experiments and theory in strain gradient elasticity
TL;DR: In this paper, a new set of higher-order metrics is developed to characterize strain gradient behaviors in small-scale structures and a strain gradient elastic bending theory for plane-strain beams is developed.
Journal ArticleDOI
A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation
C.W. Lim,G. Zhang,J. N. Reddy +2 more
TL;DR: In this paper, a higher-order non-local strain gradient elasticity model is proposed, which is based on the nonlocal effects of the strain field and first gradient strain field.
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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
TL;DR: In this paper, a microstructure-dependent Timoshenko beam model is developed using a variational formulation, which is based on a modified couple stress theory and Hamilton's principle.
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Bernoulli–Euler beam model based on a modified couple stress theory
S. K. Park,Xin-Lin Gao +1 more
TL;DR: In this paper, a modified couple stress theory was used for the bending of a Bernoulli-Euler beam and a variational formulation based on the principle of minimum total potential energy was employed.
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Microstructure-dependent couple stress theories of functionally graded beams
TL;DR: In this article, a microstructure-dependent nonlinear Euler-Bernoulli and Timoshenko beam theory was proposed to account for through-thickness power-law variation of a two-constituent material.
References
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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.
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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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Mechanical properties of thin films
TL;DR: In this paper, it is shown that very large stresses may be present in the thin films that comprise integrated circuits and magnetic disks and that these stresses can cause deformation and fracture to occur.