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Showing 1 to 20 of 74 for “"Continuum theory."”.
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A continuum theory with long-range forces for solids
A non-local integral-type continuum theory, introduced by Silling [61] as peridynamic theory, is analyzed. The theory differs from classical (local) continuum theories in that it involves long-range forces that act between continuum particles. In contrast to existing non-local theories, surface …
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Mechanics of Carbon Nanotubes: A Continuum Theory Incorporating Interatomic Potentials
The elastic modulus predicted by the proposed continuum theory is in good agreement with experimental and atomistic findings. It is also found that the critical strain at which instability occurs when a carbon nanotube is subject to tension is agreeable to that predicted by atomistic models.
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A Continuum Theory of Soil-Structure Interaction in Granular Media
Made available in DSpace on 2014-12-08T23:56:03Z (GMT). No. of bitstreams: 1 6408349.pdf: 2962930 bytes, checksum: 217c1d0939a029a2c2039d30d84ef14d (MD5) Previous issue date: 1964
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A new analysis in the continuum theory of thermal ignition
Thesis: M.S., Massachusetts Institute of Technology, Department of Nuclear Engineering, 1983
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Mechanics of Boron Nitride Nanotubes: A Continuum Theory Based on the Interatomic Potential
A hybrid atomistic/continuum model based on the interatomic potential for boron nitride is also developed to study the Stone-Wales transformation (90° rotation of an atomic bond) in boron nitride nanotubes under tension. It is found that the critical strains for Stone-Wales transformation for …
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Towards Ion Channel Based Nanofluidic Devices: Simulations of Water and Electrolyte Transport in Nanotubes and Channels
… calculations, molecular dynamics simulations and continuum theory that can be used to model electrolytic transport in micro-nano interconnect devices. Effects of nanoscale confinement and partial charges, that stem from quantum calculations, are investigated in silica slit channels filled with 1 M …
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Instabilities in smectic A liquid crystals
… oscillatory shear will be modelled using dynamic continuum theory recently developed by Stewart (2007). The dynamic continuum theory developed by Leslie, Stewart and Nakagawa (1991) is used to model smectic C liquid crystals under the effects of oscillatory shear flow and electric fields. …
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Sources of Satisfaction and Dissatisfaction With Work and Tedium in a Mental Health Setting
… function with regard to Herzberg's dual continuum theory, yet still finding themselves unable to respond to employee's needs. Consequently, it was hypothesized that the dual continuum theory posited by Herzberg would be inadequate for explaining work satisfaction. Furthermore, it was …
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Theoretical studies of smectic liquid crystals in the presence of flow, oscillatory perturbations, and edge dislocations
… with the smectic A phase as modelled by the continuum theory of Stewart, though a working knowledge of the smectic C phase, modelled using the Leslie-Stewart-Nakagawa continuum theory, proves necessary. In Chapter 3, reductions of Stewart's theory by appeal to certain physically motivated …
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Differential Geometry in Computational Electromagnetics
… In this approach, rather than take the classical theory based on the continuum as a given and constructing approximate numerical techniques from there, work is done toward constructing an alternative to the continuum theory that is built up from scratch in a discrete setting. The goal is to take …
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Constitutive modeling of Cu-Al-Ni shape memory alloys
… undergoing phase transformations. The classical continuum theory describes the bulk regions (regions away from the interfaces) in a satisfactory manner but leaves a gap in the information concerning the interface. This lacuna has been filled by either including nucleation and kinetic criteria …
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Atomistic studies on irradiation damage in iron
… methods and calculations based on linear elastic continuum theory and the dipole force tensor. Results from both methods are com- pared. Results from these two topics are relevant for predicting macroscopic behaviors such as creep and plasticity in reactor structural materials.
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Discrete Strain Engineering in Graphene
… this area has come up with an approach using a continuum theory to describe the strain induced gauge fields in graphene; however, this approach is only valid for small strains (5% at most). A discrete framework is being developed in Arkansas that can more accurately calculate the deformation …
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Constructing quantum spacetime
… of nature are incompatible. Einstein's theory of general relative describes gravity as a dynamical spacetime, which is curved by matter and whose curvature determines the motion of matter. On the other hand we have quantum field theory, in form of the standard model of particle physics, …
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Accurate Continuum Theories For Condensed Matter Systems
… construction and application of novel accurate continuum theories to various many-body problems in condensed matter systems. We begin with the construction of a new "classical" density-functional theory for general molecular liquids which is based on an exact evaluation of the free energy of a …
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Studies on the hydrodynamic equations based on the theory of diffusive volume transport
A recently formulated continuum theory has postulated that the momentum per unit volume of fluid differs from the mass flux whenever there are density gradients in the fluid resulting from the molecular transport of heat or mass. In such cases, the Navier-Stokes equations are unable to correctly …
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Non-Equilibrium Disordering Processes In binary Systems Due to an Active Agent
… Carlo simulations and a coarse-grained field theory, we observe that the disordering process exhibits three well separated temporal regimes. We show that the later stages exhibit dynamic scaling, characterized by a set of exponents and scaling functions. For the random and the biased case, …
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Experimental and theoretical investigations into the switching of liquid crystal devices
… stemming from standard liquid crystal continuum theory. The technique is expanded to utilise frequency modulation when applied to dual frequency materials and is adapted to D.C. fields. Novel experimental results concerning surface stabilised ferroelectric liquid crystals have recently …
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Strongly orthotropic continuum mechanics
… principal contribution of this dissertation is a theory of Strongly Orthotropic Continuum Mechanics that is derived entirely from an assertion of geometric strain indeterminacy. Implementable into the finite element method, it can resolve widespread kinematic misrepresentations and offer unique …
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Stochastic Surface Growth
… Parisi, and Zhang (KPZ) in 1986 proposed a continuum theory for local stochastic growth predicting scale invariance with universal exponents and limiting distributions. For a special, exactly solvable growth model (polynuclear growth - PNG) on a one-dimensional substrate (1+1 dimensional) we …
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