A study of nanovoid, Griffith–Inglis crack, cohesive crack, and some associated interaction problems in fcc materials via the many body atomic scale FEM

Shodja, H.M.; Kamalzare, Mahmoud

doi:10.1016/j.commatsci.2008.09.029

Cited by 3 publications

(1 citation statement)

References 21 publications

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“…The many body Finnis and Sinclair potentials describe the cohesion in metals and in contrast to pair potential functions, are capable of modeling the relaxation at the free surfaces of metals. SC potential has proved useful in the studies pertinent to nano-voids, cracks, inclusion within thin films, [14][15][16]. For demonstration, the values of RS potential function parameters for Cu and Al are given in Table 1.…”

Section: The Computational Techniquementioning

confidence: 99%

Elastic fields of interacting point defects within an ultra-thin fcc film bonded to a rigid substrate

Shodja¹,

Tabatabaei

Ostadhossein

et al. 2013

Open Engineering

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Certain physical and mechanical phenomena within ultra-thin face-centered cubic (fcc) films containing common types of interacting point defects are addressed. An atomic-scale lattice statics in conjunction with many-body interatomic potentials suitable for binary systems is conducted to analyze the effects of the depth on the: (1) formation energy and layer-by-layer displacements due to the presence of vacancy-octahedral self-interstitial atom (OSIA) ensemble, and (2) elastic fields as well as the free surface shape in the case of vacancy-dopant interaction. Moreover, the effects of the inter-defect spacing for various depths are also examined. To ensure reasonable accuracy and numerical convergence, the atomic interaction up to the second-nearest neighbor is considered.

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Section: The Computational Techniquementioning

confidence: 99%

Elastic fields of interacting point defects within an ultra-thin fcc film bonded to a rigid substrate

Shodja¹,

Tabatabaei

Ostadhossein

et al. 2013

Open Engineering

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A formulation for the characteristic lengths of fcc materials in first strain gradient elasticity via the Sutton–Chen potential

Shodja

Tehranchi

2010

Philosophical Magazine

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Surface and Interface Effects on Torsion of Eccentrically Two-Phase fcc Circular Nanorods: Determination of the Surface/Interface Elastic Properties via an Atomistic Approach

Pahlevani

Shodja

2010

Journal of Applied Mechanics

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The effect of surface and interface elasticity in the analysis of the Saint–Venant torsion problem of an eccentrically two-phase fcc circular nanorod is considered; description of the behavior of such a small structure via usual classical theories cease to hold. In this work, the problem is formulated in the context of the surface/interface elasticity. For a rigorous solution of the proposed problem, conformal mapping with a Laurent series expansion are employed together. The numerical results well illustrate that the torsional rigidity and stress distribution corresponding to such nanosized structural elements are significantly affected by the size. In order to employ surface and interface elasticity, several key properties such as surface energy, surface stresses, and surface elastic constants of several fcc materials as well as interface properties of the noncoherent fcc bicrystals are derived in terms of Rafii-Tabar and Sutton interatomic potential function. For determination of the surface/interface parameters a molecular dynamics program, which uses the above-mentioned potential function, is developed. The calculated surface and interface properties are in reasonable agreement with the corresponding results in literature. Some applications of the given results can be contemplated in the design of micro-/nano-electromechanical systems.

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A study of nanovoid, Griffith–Inglis crack, cohesive crack, and some associated interaction problems in fcc materials via the many body atomic scale FEM

Cited by 3 publications

References 21 publications

Elastic fields of interacting point defects within an ultra-thin fcc film bonded to a rigid substrate

Elastic fields of interacting point defects within an ultra-thin fcc film bonded to a rigid substrate

A formulation for the characteristic lengths of fcc materials in first strain gradient elasticity via the Sutton–Chen potential

Surface and Interface Effects on Torsion of Eccentrically Two-Phase fcc Circular Nanorods: Determination of the Surface/Interface Elastic Properties via an Atomistic Approach

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