Publications

2014
Davoudi KM, Nicola L, Vlassak JJ. Bauschinger Effect in Thin Metal Films: Discrete Dislocation Dynamics Study. Journal of Applied Physics. 2014;115 :013507.Abstract

The effects of dislocation climb on plastic deformation during loading and unloading are studied using a two-dimensional discrete dislocation dynamics model. Simulations are performed for polycrystalline thin films passivated on both surfaces. Dislocation climb lowers the overall level of the stress inside thin films and reduces the work hardening rate. Climb decreases the density of dislocations in pile-ups and reduces back stresses. These factors result in a smaller Bauschinger effect on unloading compared to simulations without climb. As dislocations continue to climb at the onset of unloading and the dislocation density continues to increase, the initial unloading slope increases with decreasing unloading rate. Because climb disperses dislocations, fewer dislocations are annihilated during unloading, leading to a higher dislocation density at the end of the unloading step 

davoudi_etal_jap_2014.pdf
2013
Frech AJ, Orozco D, Davoudi KM, Ding C, Field R, Yasin R, Roche E, Holland D, Walsh C. Laparoscopic Device for Direct and Indirect Suction. Journal of Medical Devices. 2013;7 (3) :030920. frech_et_al.-_journal_of_medical_devices_asme_v7_iss3_july2013_med_007_03_030920.pdf
2012
Davoudi K, Davoudi H, Aifantis E. Nanomechanics of a screw dislocation in a functionally graded material using the theory of gradient elasticity. J Mech Behav Mater . 2012;21 :187-194. Publisher's VersionAbstract

The modest aim of this short article is to provide some new results for a screw dislocation in a functionally graded material within the theory of gradient elasticity. These results, based on a displacement formulation and the Fourier transform technique, complete earlier findings obtained with the stress function method and extends them to the case of the second strain gradient elasticity. Rigorous and easy-to-use analytical expressions for the displacements, strains, and stresses are obtained, which are free from singularities at the dislocation line. 

fgm_2012_12_28.pdf
Davoudi KM, Nicola L, Vlassak JJ. Dislocation climb in two-dimensional discrete dislocation dynamics. Journal of Applied Physics. 2012;111 :103522 . Publisher's VersionAbstract

In this paper, dislocation climb is incorporated in a two-dimensional discrete dislocation dynamics model. Calculations are carried out for polycrystalline thin films, passivated on one or both surfaces. Climb allows dislocations to escape from dislocation pile-ups and reduces the strain- hardening rate, especially for fully passivated films. Within the framework of this model, climb modifies the dislocation structures that develop during plastic deformation and results in the formation of pile-ups on slip planes that do not contain any dislocation sources. 

2010
Davoudi KM, Gutkin MY, Shodja HM. A screw dislocation near a circular nano-inhomogeneity in gradient elasticity. International Journal of Solids and Structures. 2010;47 :741-750.
2009
Davoudi K, Gutkin MY, Shodja H. Analysis of stress field of a screw dislocation inside an embedded nanowire using strain gradient elasticity. Scripta Materialia. 2009;61 :355-358. Publisher's VersionAbstract

A screw dislocation outside an infinite cylindrical nano-inhomogeneity of circular cross section is considered within the isotropic theory of gradient elasticity. Fields of total displacements, elastic and plastic distortions, elastic strains and stresses are derived and analyzed in detail. In contrast with the case of classical elasticity, the gradient solutions are shown to possess no singularities at the dislocation line. Moreover, all stress components are continuous and smooth at the interface unlike the classical solution. As a result, the image force exerted on the dislocation due to the differences in elastic and gradient constants of the matrix and inhomogeneity, remains finite when the dislocation approaches the interface. The gradient solution demonstrates a non-classical size-effect in such a way that the stress level inside the inhomogeneity decreases with its size. The gradient and classical solutions coincide when the distances from the dislocation line and the interface exceed several atomic spacings.

davoudi_etal_scriptamater_2009.pdf
2008
Shodja H, Davoudi K, Gutkin MY. Analysis of displacement and strain fields of a screw dislocation in a nanowire using gradient elasticity theory. Scripta Materialia. 2008;59 :368-371. Publisher's VersionAbstract

Displacement and strain fields of a screw dislocation in a nanowire are considered within the theory of gradient elasticity. The gradient solution of the corresponding boundary value problem is derived and discussed in detail. It is shown that the dislocation fields do not contain classical jumps and singularities at the dislocation line. The maximum values of the dislocation displacement and elastic strain strongly depend on both the dislocation position and nanowire radius, thus demonstrating a nonclassical size effect.

shodja_etal_scriptamater_2008.pdf