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Ablation And Thermal Effects In A Viscoelastic Cylinder
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Book Synopsis Ablation and Thermal Effects in a Viscoelastic Cylinder by : Warren S. Edelstein
Download or read book Ablation and Thermal Effects in a Viscoelastic Cylinder written by Warren S. Edelstein and published by . This book was released on 1968 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: The axially symmetric plane strain problem is solved for a hollow viscoelastic cylinder whose outer surface is contained in an elastic casing and whose inner surface is undergoing ablation. (Author).
Book Synopsis Boundary Value Problems in Linear Viscoelasticity by : John M. Golden
Download or read book Boundary Value Problems in Linear Viscoelasticity written by John M. Golden and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical theories of Linear Elasticity and Newtonian Fluids, though trium phantly elegant as mathematical structures, do not adequately describe the defor mation and flow of most real materials. Attempts to characterize the behaviour of real materials under the action of external forces gave rise to the science of Rheology. Early rheological studies isolated the phenomena now labelled as viscoelastic. Weber (1835, 1841), researching the behaviour of silk threats under load, noted an instantaneous extension, followed by a further extension over a long period of time. On removal of the load, the original length was eventually recovered. He also deduced that the phenomena of stress relaxation and damping of vibrations should occur. Later investigators showed that similar effects may be observed in other materials. The German school referred to these as "Elastische Nachwirkung" or "the elastic aftereffect" while the British school, including Lord Kelvin, spoke ofthe "viscosityofsolids". The universal adoption of the term "Viscoelasticity", intended to convey behaviour combining proper ties both of a viscous liquid and an elastic solid, is of recent origin, not being used for example by Love (1934), though Alfrey (1948) uses it in the context of polymers. The earliest attempts at mathematically modelling viscoelastic behaviour were those of Maxwell (1867) (actually in the context of his work on gases; he used this model for calculating the viscosity of a gas) and Meyer (1874).
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1991 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dynamic Response of a Viscoelastic Cylinder with Ablating Inner Surface by : Jan D. Achenbach
Download or read book Dynamic Response of a Viscoelastic Cylinder with Ablating Inner Surface written by Jan D. Achenbach and published by . This book was released on 1965 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt: The effects of viscoelasticity and material ablation on the vibratory response of a long hollow cylinder are investigated. The cylinder is subjected to a time-dependent internal pressure. For step internal pressure, explicit solutions are presented for the circumferential stress at the eroding inner surface and for the displacement in radial direction. It is found that due to ablation, the instantaneous frequency decreases and the displacement amplitude increases. The increase in amplitude is counteracted by viscoelastic damping. In the analysis it is assumed that the material is incompressible in bulk and viscoelastic in shear according to the standard linear solid. (Author).
Book Synopsis Plane Strain Thermal Analysis of a Hollow Viscoelastic Cylinder with a Periodic Inner Boundary by : Arthur Michael Ogram
Download or read book Plane Strain Thermal Analysis of a Hollow Viscoelastic Cylinder with a Periodic Inner Boundary written by Arthur Michael Ogram and published by . This book was released on 1962 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1972 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Thermal Stresses in a Viscoelastic Cylinder with Temperature Dependent Properties by : K. C. Valanis
Download or read book Thermal Stresses in a Viscoelastic Cylinder with Temperature Dependent Properties written by K. C. Valanis and published by . This book was released on 1964 with total page 1644 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Transient Thermal Stresses and Displacements in a Hollow Viscoelastic Cylinder by : Robert William Giuliano
Download or read book Transient Thermal Stresses and Displacements in a Hollow Viscoelastic Cylinder written by Robert William Giuliano and published by . This book was released on 1966 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Effects of Viscoelasticity on the Transitioning Cylinder Wake by : David Hastings Richter
Download or read book The Effects of Viscoelasticity on the Transitioning Cylinder Wake written by David Hastings Richter and published by Stanford University. This book was released on 2011 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using a newly developed three dimensional, time dependent finite volume code designed to compute non-Newtonian flows over a large range of Reynolds number (Re), we performed simulations of viscoelastic flow past a circular cylinder. Our goal was to elucidate elastic effects during transition to turbulence in a bluff body wake. Based on its ability to capture essential physical processes in turbulent drag reduction studies, the FENE-P rheological model was employed in the calculation, and the numerical method utilized was such that a large range of rheological parameters (polymer length L, dimensionless Weissenberg number (Wi), and polymer concentration (beta) in the FENE-P model) could be probed. Simulations were performed for Reynolds numbers ranging from Re = 100 to Re = 3900. Within this range, the Newtonian cylinder wake first undergoes a series of secondary instabilities, transitioning the wake structure from a two-dimensional, laminar vortex shedding state to one exhibiting three-dimensional motion. This transition is characterized first by the mode A instability, which develops in the region of primary vortex development at a Reynolds number of Re = 190. The mode B instability then follows at Re = 260, resulting from unstable perturbation growth in the braid region between primary vortices. At still higher Reynolds numbers, Re = O(1000), the separated shear layer immediately behind the cylinder begins to transition prior to primary vortex shedding. Through nonlinear simulations as well as a Floquet linear stability analysis, viscoelasticity was observed to stabilize both regimes of three-dimensional transition. Full nonlinear simulations revealed that for high enough polymer extensibility L at Re = 300, where mode B instability structures dominate for Newtonian flow, the wake could be reverted back to a state resembling two-dimensional, laminar vortex shedding. This was then confirmed using a Floquet stability analysis, showing significantly suppressed growth rates for both the mode A and mode B instabilities in the linear regime of their development. Mechanisms of this stabilization are presented. At Re = 3900, viscoelasticity again stabilizes the flow, though at this point through a suppression of the Kelvin-Helmoltz rollup instability present in the separated shear layer for Newtonian flows. Once a primary Karman vortex is allowed to form without the influence of a transitioned shear layer, the wake then reverts back to one resembling the mode B instabilities. Confirming this, a study was then performed at the same Reynolds number but allowing for an inhomogeneous polymer concentration throughout the flow field. By injecting polymer additives on the upstream side of the cylinder, it was found that stabilization of the shear layer and of the subsequent wake could be achieved without the presence of polymeric stresses in all downstream locations of the flow.
Book Synopsis Coupled Heat Conduction and Deformation in a Viscoelastic Composite Cylinder by : Sneha Shah
Download or read book Coupled Heat Conduction and Deformation in a Viscoelastic Composite Cylinder written by Sneha Shah and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This study analyzes the thermo-mechanical response of a composite cylinder made up of two layers of linear isotropic viscoelastic materials that belong to the class of non-Thermorheologically Simple Material. The effect of time-varying temperature field due to unsteady heat conduction phenomenon is analyzed on the short term and long term material response in terms of stress, strain and displacement fields. The material properties of the two layers of the composite cylinder at any given location and time are assumed to depend on the temperature at that location at that given instant of time. Sequentially coupled analyses of heat conduction and deformation of viscoelastic composite cylinder is carried out to obtain the overall response. The stress and strain field developed in the composite cylinder is evaluated as the discontinuity in hoop stress and radial strain at the interface of the two layers caused due to mismatch in material properties may lead to delamination if it exceeds critical value. Analytical solution for the stress, strain and displacement fields of the viscoelastic composite cylinder is developed from the corresponding solution of linear elasticity problem by using the Correspondence Principle. The analytical solution for determining the temperature dependent stress, strain and displacement fields is further developed by incorporating the temperature dependence on the material properties and modeling the material as non-TSM. To analyze more complex geometry with general loading and boundary conditions, Finite Element(FE) analysis of the composite cylinder is performed and the results of analytical and FE method are found to be in good agreement. Parametric studies are carried out to understand the effect of change in material parameters namely the Prony coefficients in the transient creep compliance, characteristic of creep time in transient creep compliance and the instantaneous elastic compliance, on the overall response of the composite cylinder. The effect of different temperature dependent functions of the material properties, namely linear temperature variation and quadratic polynomial variation on the overall material response is also analyzed. It is observed that the effect of change in elastic properties significantly increases the jump in hoop stress and radial strain. It is also observed that when the materials are highly dependent on temperature the jump in radial strain and hoop stress increases significantly. The radial displacement also increases by a significant amount in both the cases.
Book Synopsis U.S. Government Research Reports by :
Download or read book U.S. Government Research Reports written by and published by . This book was released on 1964 with total page 870 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Thermal Viscoelastic Analysis for Thick-Walled Composite Cylinders by : Larry S. Chien
Download or read book A Thermal Viscoelastic Analysis for Thick-Walled Composite Cylinders written by Larry S. Chien and published by . This book was released on 1993 with total page 39 pages. Available in PDF, EPUB and Kindle. Book excerpt: The linear quasi-static thermal viscoelastic behavior of a three-dimensional thick laminated composite cylinder is investigated. The cylinder is loaded with a temperature change; however, thermomechanical coupling effects are neglected. The Correspondence Principle is employed to convert the thermoviscoelastic problem to its corresponding thermoelasticity problem in Laplace Transform space. A closed-form formulation is then developed for each layer, assuming a state of generalized plane strain, to solve for a general solution of the corresponding thermoelastic problem. The Laplace Transformed solution is completed by satisfying boundary conditions at the inner and outer surfaces of the cylinder and continuity conditions between adjacent layers. The solution process is expedited by replacing two undetermined coefficients in the assumed form of the thermoelastic solution with the normal stresses at the inner and outer of the cylinder and satisfying the continuity conditions between adjacent layers. Finally, direct Laplace Transform Inversion is used to yield the quasi-static thermoviscoelastic solution. Viscoelasticity, Thick composite cylinders, Laplace transformation.
Download or read book Naval Research Reviews written by and published by . This book was released on 1968 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Thermal Effects in Viscoelastic Wave Propagation by : Shih-Jung Chang
Download or read book Thermal Effects in Viscoelastic Wave Propagation written by Shih-Jung Chang and published by . This book was released on 1967 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Government Reports Index written by and published by . This book was released on 1971 with total page 954 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Failure in a Viscoelastic Cylinder Subjected to Temperature and Moisture Gradients by : Mohan Velliyur Nott Rao
Download or read book Failure in a Viscoelastic Cylinder Subjected to Temperature and Moisture Gradients written by Mohan Velliyur Nott Rao and published by . This book was released on 1971 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis International Aerospace Abstracts by :
Download or read book International Aerospace Abstracts written by and published by . This book was released on 1972 with total page 956 pages. Available in PDF, EPUB and Kindle. Book excerpt:
