Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 20 of 56 for “"constitutive equation"”.
-
A constitutive equation for carbon black filled elastomers
Thesis: M.S., Massachusetts Institute of Technology, Department of Chemical Engineering, 1980
-
An empirical constitutive equation for anti-coagulated human blood
A constitutive equation for whole human blood was developed using a power law functional form. This power law equation contains two parameters, the consistency index and the non-Newtonian index for the fluid. Viscometric data, utilizing a cone and plate viscometer, were obtained from anticoagulated …
-
BODY TENSOR FORMALISM IN FINITE DEFORMATION ELASTICITY AND APPLICATION TO THE TORSION OF A CIRCULAR CYLINDER
… One examines the physical laws and the constitutive equation which relates the stress to the strain with the help of the two Lame coefficients and the three third order elastic constants. Although the body tensor formalism has been used before to describe finite deformation elasticity, …
-
The effect of blood chemistry on the rheological properties of the fluid
A four variable constitutive equation was developed utilizing the method first presented by Schneck and Walburn. Spearman rank correlation coefficients were calculated on whole blood samples within a narrow range of hematocrit to investigate further the effect of the various plasma constituents on …
-
Flow of viscoelastic fluids through banks of cylinders: an experimental and numerical investigation
… purely viscous models or whether a viscoelastic constitutive equation is required. To predict these pressure drops, finite element calculations were performed using the generalized Newtonian fluid (GNF) model with the Bird-Carreau viscosity function, as well as two viscoelastic constitutive …
-
Rheological characterizaton, and the development of molecular orientation and texture during flow for a liquid crystalline copolymer of para- hydroxybenzoic acid and polyethylene terephthalate
… fully understand and predict such behavior, a constitutive equation describing the flow behavior of these materials would be useful. It has been suggested that in order to describe the rheology of liquid crystalline fluids such a constitutive equation would need to include molecular orientation …
-
Detailed Studies of Drying and Crack Formation in Aggregated Colloidal Suspensions
… fluid model with the compressive yield stress constitutive equation to describe consolidation behavior in these systems. In the falling rate period we propose a simple diffusion mechanism that describes drying rate behavior during this period of drying. We describe the drying front that forms …
-
Non-maximum entropy polymer elasticity, viscoelasticity and the lattice Boltzmann method
… hyperelastic, viscoelastic, incompressible constitutive equation for polymers. The result has been achieved by generating a novel physics for the microscopic behaviour of polymers. A vocabulary has been created to facilitate the physics. A new differential equation describing polymer …
-
High temperature flow behavior of titanium aluminide intermetallic matrix composites
… The results of these analyses are applied to a constitutive equation based upon the flow stress equation. It has been shown that at in this temperature regime, all deformation occurs within the intermetallic matrix. This is substantiated by the lack of TiB₂-dependent behavior with variations in …
-
The nonlinear viscoelastic behavior of adhesives and chopped fiber composites
… to the data for both materials. The nonlinear constitutive equation so obtained is used together with a delayed failure law postulated by Crochet to describe creep rupture data for both materials. Discussion is also given on the feasibility of applying the nonlinear viscoelastic procedures of …
-
Mechanics of machining metal matrix composites: analytical modeling and finite element simulation
… of cutting forces. These models rely on constitutive equations for capturing MMC behavior. Therefore, a novel constitutive equation is proposed for depicting the MMC behavior during machining.
-
Simulation of nonisothermal and time-dependent viscoelastic flows
… processing operations are the need for accurate constitutive equations and the computational efficiency of the numerical methods. The goal of the first part of this thesis is to develop constitutive equations appropriate for modeling nonisothermal viscoelastic flows and to examine the influence …
-
Nonlinear rheology of micelles and polymers
… concept of a confining 'tube', and leading to a constitutive equation related to that of Doi and Edwards for unbreakable chains. This equation is capable of describing nonlinear rheological behaviour, and in chapter 2, some of its predictions are discussed and compared with experiment. In steady …
-
Modelling of welding with various constitutive models for steel
… is an attempt at the quality analysis of constitutive modelling of welding as a coupled thermo-mechanical or thermo-mechanical-metallurgical problem. Three types of inelastic theories of continua: unified viscoplasticity based on dislocation density theory, unified viscoplasticity based on …
-
Extensional rheology of bread dough
… Ultimately we would like to develop a constitutive equation describing the evolution of stress during extension and arrive at a model for the stability against rupture in these doughs.
-
Mechanical Investigation of Damage in Ligaments
… first part of this study, a structurally-based constitutive equation is proposed to simulate the damage evolution process in ligaments. The ligament is modeled as a bundle of crimped collagen fibers that are assumed to be oriented along one direction, the physiological loading direction. The …
-
Effects of viscous dissipation on hydrodynamic stability of viscoelastic fluids
Two constitutive equations for viscoelastic fluids are examined in linearized hydrodynamic stability analysis for the effects of viscous dissipation, in plane Couette flow heated from below. All physical properties are assumed constant except the density in the body-force term of the momentum …
-
Optimal Curing for Thermoset Matrix Composites: Thermochemical and Consolidation Considerations
… problems. The consolidation governing equations, one for solid stress and one for fluid pressure, are derived using a local volume averaging approach, and they are strongly coupled. A special anisotropic hyperelastic constitutive equation is developed for the solid stress, and a full …
-
The Runge-Kutta Taylor-SPH model, a new improved model for soil dynamics problems
… dynamic of viscoplastic solids. The governing equations of the mathematical model behind the Runge-Kutta Taylor-SPH and the new Runge-Kutta Taylor-SPH are: i) the balance of momentum equation, ii) the constitutive equation and iii) the kinetic relation. The mathematical model used to describe …
-
Development of an efficient finite volume computational platform for the simulation of complex flows of complex fluids governed by the Rolie-Poly model
… and it is only recently that different forms of constitutive equations derived as simplified versions of molecular reptation-based models have been developed to describe molten polymers. The most adept mathematical models being the tube-based models which are derived from the Doi-Edwards …
Page 1 of 3