Corpus ID: 119230784

Comparison of theoretical elastic couple stress predictions with physical experiments for pure torsion

@article{Hadjesfandiari2016ComparisonOT,
  title={Comparison of theoretical elastic couple stress predictions with physical experiments for pure torsion},
  author={Ali Reza Hadjesfandiari and Gary F. Dargush},
  journal={arXiv: General Physics},
  year={2016}
}
Several different versions of couple stress theory have appeared in the literature, including the indeterminate Mindlin-Tiersten-Koiter couple stress theory (MTK-CST), indeterminate symmetric modified couple stress theory (M-CST) and determinate skew-symmetric consistent couple stress theory (C-CST). First, the solutions within each of these theories for pure torsion of cylindrical bars composed of isotropic elastic material are presented and found to provide a remarkable basis for comparison… Expand

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References

SHOWING 1-10 OF 18 REFERENCES
Couple stress based strain gradient theory for elasticity
The deformation behavior of materials in the micron scale has been experimentally shown to be size dependent. In the absence of stretch and dilatation gradients, the size dependence can be explainedExpand
Cubic Single Crystal Representations in Classical and Size-dependent Couple Stress Elasticity
Beginning with Cosserat theory in the early 20th century, there have been several different formulations for size-dependent elastic response. In this paper, we concentrate on the application ofExpand
Evolution of generalized couple-stress continuum theories: a critical analysis
In this paper, we examine different generalized couple-stress continuum mechanics theories, including couple stress, strain gradient and micropolar theories. First, we investigate the fundamentalExpand
Foundations of consistent couple stress theory
In this paper, we examine the recently developed skew-symmetric couple stress theory and demonstrate its inner consistency, natural simplicity and fundamental connection to classical mechanics. ThisExpand
Toward a further understanding of size effects in the torsion of thin metal wires: An experimental and theoretical assessment
Abstract Both torsion and tensile tests are performed on polycrystalline copper wires with diameters in the range 20–50 μm. A significant size effect in both the initial yielding and the plastic flowExpand
Couple stress theory for solids
By relying on the definition of admissible boundary conditions, the principle of virtual work and some kinematical considerations, we establish the skew-symmetric character of the couple-stressExpand
A new method to measure torsion moments on small-scaled specimens.
  • M. Walter, O. Kraft
  • Materials Science, Medicine
  • The Review of scientific instruments
  • 2011
TLDR
A new method is presented, which allows determining torsion moments applied to wires as thin as 10 μm in monotonic as well as cyclic manner, and investigations on gold wires with diameters ranging from 10 to 60 μm, applying torsions in the nNm regime are shown. Expand
Quasi-Static Torsion Characterization of Micro-diameter Copper Wires
A method to measure very small torques that subject micro-diameter copper wires to plasticity is developed for quasi-static torsion experiment. Following the concept in the work by Fleck et al. (ActaExpand
Strain gradient plasticity: Theory and experiment
Abstract Dislocation theory is used to invoke a strain gradient theory of rate independent plasticity. Hardening is assumed to result from the accumulation of both randomly stored and geometricallyExpand
On bending of strain gradient elastic micro-plates
Abstract Bending of strain gradient elastic thin plates is studied, adopting Kirchhoff’s theory of plates. Simple linear strain gradient elastic theory with surface energy is employed. The governingExpand
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