Forthcoming articles


International Journal of Theoretical and Applied Multiscale Mechanics


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International Journal of Theoretical and Applied Multiscale Mechanics (4 papers in press)


Regular Issues


  • Jenkins model based ferrofluid lubrication of a squeeze film in rough curved circular plates considering slip velocity   Order a copy of this article
    by Jimit R. Patel, G.M. Deheri 
    Abstract: An attempt has been made to study and analyze the combined effect of roughness and slip velocity on the performance of a Jenkins model based magnetic squeeze film in curved rough circular plates taking velocity slip into account. The curvatures of both the plates are described by exponential functions. The stochastic model of Christensen and Tonder has been used to evaluate the effect of surface roughness. The associated stochastically averaged Reynolds type equation has been solved to obtain the pressure distribution leading to the computation of load carrying capacity. The graphical representations of the solution reveal that although Jenkins model modifies the performance as compared to Neuringer- Rosensweig model, the magnetization may not go too far in reducing the adverse effect of slip velocity and standard deviation associated with roughness because the material constant parameter brings down the load carrying capacity. However, the situation is fairly improved in the case of negatively skewed roughness particularly, when variance (-ve) is involved. This article also ensures that by keeping the slip parameter at minimum and choosing the curvature parameters the magnetic fluid lubrication may lead to an augmented performance.
    Keywords: Curved circular plates; Roughness; Jenkins model; Magnetic Fluid; Slip velocity.

  • Determination of interfacial fracture energy for "pop-in" delaminations in a glass-epoxy system using the indentation method   Order a copy of this article
    by Karen Hutchins, Thomas Buchheit, Rajan Tandon, Tariq Khraishi 
    Abstract: The adhesion of coatings often controls the performance of the substrate-coating system. Certain engineering applications require an epoxy coating on a brittle substrate to protect and improve the performance of the substrate. Interfacial adhesion measurements of such systems provide a quantitative metric of performance. Indentation experiments were performed to induce interfacial delamination in a glass substrate-epoxy coating system. Delamination radii and loads were measured and applied to an analytical solution originally developed by Rosenfeld et al., J. Appl. Phys., 67, 3291 (1990) to estimate the interfacial fracture energy of the substrate-coating adhesive bond. Results suggest an interfacial bond strength far exceeding that of similar previously studied glass-epoxy systems.
    Keywords: Indentation; Adhesion; Bonding; Interfaces; Coatings; Epoxy; Glass; Fracture Energy.

  • Micromorphic Elasticity for an Axisymetrically Loaded Cylindrical Thick-walled Structure under Plane Strain Conditions   Order a copy of this article
    by Koffi Enakoutsa 
    Abstract: In this paper we derive a closed-form solution for the problem of a second gradient elastic circular thick-walled cylinder subjected to some axisymmetric loading conditions and deformed in plane strain. The second gradient elastic model used is the one of Gologanu, Leblond, Perrin, and Devaux proposed some years ago and used in the context of the numerical implementation of a micromorphic model for ductile fracture in porous plastic metals. The ordinary Cauchy stress and ``hyperstress' tensors are computed as a function of the displacement field which is obtained textit{via} a suitable combination of the balance equations, compatibility, stress-strain/hyperstress-gradient of the strain relationships, and appropriate boundary conditions. The first gradient solution is recovered when the second gradient effects are negligible. This study demonstrates that the first gradient elastic solution may not be accurate, particularly in elastic materials exhibiting substantial microstructure dependence. Future works will use the newly derived solution to interpret the size effects experimentally observed, for instance, in pressurized sandstone hollow cylinders.
    Keywords: Thick-walled Cylinder; Strain Gradient Elasticity; Closed-form Solution; Axisymmetric Load.

  • Large-Scale Flow Structures in Turbulence Mixing of Sonic Jet injection into Supersonic Crossflow   Order a copy of this article
    by El Hadi Khali, Yufeng Yao 
    Abstract: A hybrid Reynolds-averaged Navier-Stokes (RANS) and large-eddy simulation (LES) fluid dynamics simulation has been performed to explore physical insights of flow mixing characteristics, resulted from an interaction between a sonic jet issuing perpendicularly into a supersonic crossflow. This numerical approach allows for the simulations to resolve unsteady large-scale flow structures, and as well as to capture the mean flow accurately, both parameters play important roles in this kind of flow mixing process. After validating time-averaged mean results against available experimental measurements, further comparison of instantaneous unsteady flow field is made to reveal dynamic process occurred in the mixing flow computation. Some key flow characteristics observed in the experiments are successfully reproduced by present numerical study, namely boundary layer flow separation at the jet exit and shear-layer vortex development along the interface between the jet stream and the crossflow, the latter is mainly due to the Kelvin-Helmholtz instability.
    Keywords: Large-scale flow structures on turbulence mixing; Sonic jet in supersonic Crossflow; Counter rotating vortex pair; Improved-Delayed Detached-Eddy Simulation; Bounded Central Differencing Scheme; Implicit time integration.