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  • 1
    Electronic Resource
    Electronic Resource
    Flow of viscoelastic fluids between rotating disks (1992)
    Springer
    Theoretical and computational fluid dynamics 3 (1992), S. 185-206 
    Details
    ISSN: 1432-2250
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract Few boundary-value problems in fluid mechanics can match the attention that has been accorded to the flow of fluids, Newtonian and non-Newtonian, between parallel rotating disks rotating about a common axis or about distinct axes. An interesting feature which has been recently observed is the existence of solutions that are not axially symmetric even in the case of flow due to the rotation of disks about a common axis. In this article we review the recent efforts that have been expended in the study of both symmetric and asymmetric solutions in the case of both the classical linearly viscous fluid and viscoelastic fluids.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00417912
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    On constitutive equations for electrorheological materials (1995)
    Springer
    Continuum mechanics and thermodynamics 7 (1995), S. 1-22 
    Details
    ISSN: 1432-0959
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract. Constitutive equations for electrorheological (ER) fluids have been based on experimental results for steady shearing flows and constant electric fields. The fluids have been modeled as being rigid until a yield stress is reached. Additional stress is then proportional to the shear rate. Recent experimental results indicate that ER materials have a regime of solid-like response when deformed from a rest state. They behave in a viscoelastic-like manner under sinusoidal shearing and exhibit time-dependent response under sudden changes in shear rate or electric field. In this work, a constitutive theory for ER materials is presented which accounts for these recent experimental observations. The stress is given by a functional of the deformation gradient history and the electric field vector. Using the methods of continuum mechanics, a general three-dimensional constitutive equation is obtained. A sample constitutive equation is introduced which is then used to determine the response of an ER material for different shear histories. The calculated shear response is shown to be qualitatively similar to that observed experimentally.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01175766
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Deformation twinning during impact – numerical calculations using a constitutive theory based on multiple natural configurations (1998)
    Springer
    Computational mechanics 21 (1998), S. 20-27 
    Details
    ISSN: 1432-0924
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract When materials such as Armco iron, titanium etc., are subject to impact it can be observed that two basic inelastic processes take place – slip and deformation twinning. Of these processes, inelasticity associated with the slip mechanism has received considerable attention. For example, Zerilli and Armstrong (1988) modeled the Taylor impact test for a variety of materials using traditional plasticity theories. They found that there was a significant discrepancy between the theoretical and experimental results for some materials. They attributed this to the fact that they had neglected deformation twinning in their models. Subsequent metallurgical studies have indicated that twinning had indeed taken place in these materials. In this study, we focus on the inelastic processes solely due to deformation twinning (i.e., neglecting slip). We model these processes using the approach of Rajagopal and Srinivasa (1995, 1997) and Srinivasa et al., (1997), the results of which are briefly summarized in section 2.1. In order to better understand the twinning process, we study the Taylor impact test for a 2-D slab under the assumption that only deformation twinning takes place and solve the governing dynamical equations by using the finite element method. The results show that the twinned zone is concentrated near the point of impact and indeed it contributes significantly to the overall permanent shape change due to the impact.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s004660050280
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  • 4
    Electronic Resource
    Electronic Resource
    On flows of granular materials (1994)
    Springer
    Continuum mechanics and thermodynamics 6 (1994), S. 81-139 
    Details
    ISSN: 1432-0959
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract This article reviews the behavior of materials made up of a large assemblage of solid particles under rapid and quasi static deformations. The focus is on flows at relatively high concentrations and for conditions when the interstitial fluid plays an insignificant role. The momentum and energy exchange processes are then primarily governed by interparticle collisions and Coulomb-type frictional contact. We first discuss some physical behavior —dilatancy, internal friction, fluidization and particle segregation — that are typical to the understanding of granular flows. Bagnold's seminal Couette flow experiments and his simple stress analysis are then used to motivate the first constitutive theories that use a microstructural variable — the fluctuation energy or granular temperature — governing the subscale fluctuating motion. The kinetic theories formalize the derivation of the field equations of bulk mass, momentum and energy, and permit derivation of constitutive relations for stress, flux of fluctuation energy and its dissipation rate for simple particle assemblages and when frictional rubbing contact can be ignored. These statistical considerations also show that formulation of boundary conditions needs special attention. The frictional-collisional constitutive behavior in which both Coulomb-type rubbing contact and collisional encounters are significant are discussed. There is as yet no rigorous formulation. We finally present a phenomenological approach that describes rapid flows of granular materials under simultaneous transport of heat and close with a summary of stability analyses of the basic flow down an inclined plane.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01140894
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    On constitutive equations for electrorheological materials (1995)
    Springer
    Continuum mechanics and thermodynamics 7 (1995), S. 1-22 
    Details
    ISSN: 1432-0959
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Constitutive equations for electrorheological (ER) fluids have been based on experimental results for steady shearing flows and constant electric fields. The fluids have been modeled as being rigid until a yield stress is reached. Additional stress is then proportional to the shear rate. Recent experimental results indicate that ER materials have a regime of solid-like response when deformed from a rest state. They behave in a viscoelastic-like manner under sinusoidal shearing and exhibit time-dependent response under sudden changes in shear rate or electric field. In this work, a constitutive theory for ER materials is presented which accounts for these recent experimental observations. The stress is given by a functional of the deformation gradient history and the electric field vector. Using the methods of continuum mechanics, a general three-dimensional constitutive equation is obtained. A sample constitutive equation is introduced which is then used to determine the response of an ER material for different shear histories. The calculated shear response is shown to be qualitatively similar to that observed experimentally.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01175766
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    Paper (German National Licenses)
    Fulltext
  • 6
    Electronic Resource
    Electronic Resource
    On a generalized nonlinearK-ɛ model for turbulence that models relaxation effects (1996)
    Springer
    Theoretical and computational fluid dynamics 8 (1996), S. 275-288 
    Details
    ISSN: 1432-2250
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract In this paper, based on a similarity that exists between the constitutive relations for turbulent mean flow of a Newtonian fluid and that for the laminar flow of a non-Newtonian fluid, and making use of extended thermodynamics, we develop a generalized nonlinearK-ɛ model, whose approximate form includes the standardK-ɛ model and the nonlinearK-ɛ model of Speziale (1987) as special cases. Our nonlinearK-ɛ model, which is frame indifferent, can predict relaxation of the Reynolds stress, unlike most standardK-ɛ models. Also, our model is in keeping with that of Yakhotet al. (1992). Most interestingly, the linearized form of our model bears a striking resemblance to the model due to Yoshizawa and Nisizima (1993); however, it has been obtained from a totally different perspective.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00639696
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  • 7
    Electronic Resource
    Electronic Resource
    Flow of a non-Newtonian fluid between intersecting planes of which one is moving (1993)
    Springer
    Rheologica acta 32 (1993), S. 490-498 
    Details
    ISSN: 1435-1528
    Keywords: Oldroyd-B fluid ; viscoelasticity ; relaxation time ; retardation time
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: Abstract We study the flow of an Oldroyd-B fluid between two intersecting plates, one of which is fixed and the other moving along its plane. This problem was first considered by Strauss (1975) for the Maxwell fluid using a similarity transformation. We find that even in the case of a Maxwell fluid, which can be obtained by setting a specific parameter, say σ, in the Oldroyd-B model to zero, our results disagree with those of Strauss (1975). We find that circulating cells are present, adjacent to the stationary plate while Strauss (1975) finds them adjacent to the moving plate. We also delineate the effect of the coefficient σ, which is a measure of the elasticity of the flow, on the flow pattern. We find that an increase in the elastic parameter reduces the cellular structure.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00396180
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  • 8
    Electronic Resource
    Electronic Resource
    Flow of a non-Newtonian fluid between intersecting planes, one of which is moving (1996)
    Springer
    Rheologica acta 35 (1996), S. 520-522 
    Details
    ISSN: 1435-1528
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00369001
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    Paper (German National Licenses)
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  • 9
    Electronic Resource
    Electronic Resource
    On the conditional stability of the rest state of a fluid of second grade in unbounded domains (1990)
    Springer
    Archive for rational mechanics and analysis 109 (1990), S. 173-182 
    Details
    ISSN: 1432-0673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00405241
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    Paper (German National Licenses)
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  • 10
    Electronic Resource
    Electronic Resource
    Inhomogeneous Non‐Unidirectional Deformations of a Wedge of a Non‐Linearly Elastic Material (1999)
    Springer
    Archive for rational mechanics and analysis 147 (1999), S. 179-196 
    Details
    ISSN: 1432-0673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002050050148
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    Paper (German National Licenses)
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