Category Archive: Applied Mechanics

Applied Mechanics

Feb
20

Enhanced droplet spreading due to thermal fluctuations

The dynamics of thin film liquid interfaces < 100 nm) play dominant roles in many macroscale phenomena, such as droplet break up, evaporation of a meniscus, boiling and heat transfer, and thin film dynamics. These processes are can be used in the manufacturing of microelectronics and biomedical devices. Unlike for thicker films, the thermal motion …

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Feb
18

Identification of transient nonlinear aeroelastic phenomena

Complex nonlinear aspects of aeroelastic phenomena include unsteady nonlinear aerodynamic loads, structural nonlinearities, as well as nonlinear couplings between the flow and the structural response. Nonlinearities in aerodynamic loads originate from unsteady shocks and/or flow separation. Structural nonlinearities are geometric, or a result of free play. Nonlinear fluid structure couplings result from nonlinear resonance between …

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Jan
19

Traveling wave solutions for a combustion model

From the compressible Navier-Stokes equations for a reacting mixture, we reduce the system to obtain a one-dimensional 2-species polytropic gas combustion model. We examine the equilibria and determine their stability as well as identify the conditions that provide for the existence and uniqueness of a traveling wave/shock layer solution.

Jan
19

Damage detection and identification in sandwich composites using neural networks

Marine, aerospace, ground and civil structures can receive unexpected loading that may compromise integrity during their life span. Therefore, improvement in detecting damage can save revenue and lives depending upon the application. The prognostic capability is usually a function of the examiner’s experience, background and data collection during the evaluation. Nondestructive evaluation (NDE) methods are …

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Jan
19

Linearized equations for J2 perturbed motion relative to an elliptical orbit

A set of linearized equations was derived for the motion, relative to an elliptical reference orbit, of an object influenced by J2 perturbations. Solutions from numerical simulations were used to compare these equations and the linearized Keplerian equations to the exact equations. The inclusion of the J2 perturbations in the derived linear equations increased the …

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Jan
19

Damage analysis of particulate biocomposites using finite element technique

The objective of this project is to develop a scientific approach for predicting the mechanical properties and the failure process of PRPBs by simulating the damage mechanism of PRPB at mesoscopic level. In a tertiary phase representative volume element, particle-matrix debonding and matrix damage have been taken into account to model the damage mechanism. After …

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Jan
19

Development of a mixed shell element for 7-parameter formulation and identification of lowest eigenvalues

This dissertation focuses on shell element since it is more complicated and important than solid element in the finite element method. Conventional shell formulation has widely been used, but it has a drawback when the thick shell is considered due to the assumption that thickness is constant. In order to overcome this, the 7-parameter shell …

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Jan
19

Mathematical modeling and simulation of aquatic and aerial animal locomotion

In this thesis we investigate the locomotion of fish and birds by applying both new and well known mathematical techniques. The two-dimensional model is first studied using Krasnys vortex blob method, and then a new numerical method based on Wus theory1 is developed. To begin with, we will implement Krasnys ideas for a couple of …

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Jan
19

Schur’s complement and discontinuous Galerkin methods for domain decomposition solvers and plasticity and interface evolution analyses

We consider the simulation of interface evolution problems in which, different length scales in the bulk and interface make for computationally challenging simulations. To address these challenges we implement 1) Newton-Schur schemes to efficiently solve coupled nonlinear equations, and 2) adaptive refinement to capture evolving interfaces. Coupled nonlinear equations arise in various areas of computational …

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Jan
19

Towards large eddy simulation of dispersed gas-liquid two-phase turbulent flows

This study presents a detailed investigation of all essential components of computational and modeling issues necessary for a successful large-eddy simulation LES) of dispersed two-phase turbulent flows. In particular, a two-layer concept is proposed to enable the LES capability in two-phase flows involving dispersed bubbles that are relatively large compared to the mesh size. The …

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