Journal Article10.1016/S0020-7683(02)00152-X
Couple stress based strain gradient theory for elasticity
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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.
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About: This article is published in International Journal of Solids and Structures. The article was published on 01 May 2002. The article focuses on the topics: Infinitesimal strain theory & Strain energy density function.
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Citations
Nonlinear behavior of a nano-scale beam considering length scale-parameter
Hamed Mobki,Morteza Sadeghi,Ghader Rezazadeh,Mohammad Fathalilou,Ali-asghar keyvani-janbahan +4 more
TL;DR: In this article, the fixed points of the aluminum nano-beams have been determined and shown that for a given DC voltage, there is a considerable difference between the calculated fixed points using classic beam theory and modified couple stress theory.
34
A stochastic crystal plasticity model with size-dependent and intermittent strain bursts characteristics at micron scale
TL;DR: In this article, a stochastic crystal plasticity model is established by importing these two dislocation-controlled characteristics into the conventional crystal deformation theory, where the plastic strain is composed of a series of strain bursts instead of formulated as a continuous function.
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Free vibration of magneto-electro-elastic nanobeams based on modified couple stress theory in thermal environment
TL;DR: In this paper, the size-dependent free vibration of magneto-electro-elastic (MEE) nanobeams in thermal environment is investigated and size effects are taken into account using the modified co...
33
Vibration analysis of electrostatically actuated nonlinear microbridges based on the modified couple stress theory
TL;DR: In this paper, a nonlinear formulation of the Euler-Bernoulli microbeam is derived using Hamilton's principle and the von-Karman strain is considered by considering the nonlinearities caused by the midplane stretching.
33
Flexoelectricity and surface effects on coupled electromechanical responses of graphene reinforced functionally graded nanocomposites: A unified size-dependent semi-analytical framework
TL;DR: In this article , a semi-analytical "singleterm extended Kantorovich method" and "Ritz method" based powerful framework is developed for investigating the static and dynamic electromechanical responses of graphene reinforced piezoelectric functionally graded (FG) nanocomposite plates, respectively.
References
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.
3.6K
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.
2.8K
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.
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