Brownian dynamics investigation of the Boltzmann superposition principle for orthogonal superposition rheology

Vishal Metri; W. J. Briels

doi:10.1063/1.5080333

Brownian dynamics investigation of the Boltzmann superposition principle for orthogonal superposition rheology

The Journal of Chemical Physics ◽

10.1063/1.5080333 ◽

2019 ◽

Vol 150 (1) ◽

pp. 014903 ◽

Cited By ~ 2

Author(s):

Vishal Metri ◽

W. J. Briels

Keyword(s):

Brownian Dynamics ◽

Superposition Principle ◽

Boltzmann Superposition Principle

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Boltzmann superposition principle for a time-dependent soft material: assessment under creep flow field

Rheologica Acta ◽

10.1007/s00397-017-1044-x ◽

2017 ◽

Vol 56 (11) ◽

pp. 927-940 ◽

Cited By ~ 6

Author(s):

Asheesh Shukla ◽

Yogesh M. Joshi

Keyword(s):

Flow Field ◽

Superposition Principle ◽

Soft Material ◽

Time Dependent ◽

Creep Flow ◽

Boltzmann Superposition Principle

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Boltzmann Superposition Principle

Encyclopedic Dictionary of Polymers ◽

10.1007/978-1-4419-6247-8_1474 ◽

2011 ◽

pp. 89-89 ◽

Cited By ~ 1

Author(s):

Jan W. Gooch

Keyword(s):

Superposition Principle ◽

Boltzmann Superposition Principle

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A generalization of the Boltzmann superposition principle to polymer networks undergoing scission

The Journal of Chemical Physics ◽

10.1063/1.431940 ◽

1976 ◽

Vol 64 (1) ◽

pp. 430-430 ◽

Cited By ~ 8

Author(s):

J. Moacanin ◽

J. J. Aklonis ◽

R. F. Landel

Keyword(s):

Superposition Principle ◽

Polymer Networks ◽

Boltzmann Superposition Principle

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Steady-state response of the parametrically excited axially moving string constituted by the Boltzmann superposition principle

Acta Mechanica ◽

10.1007/s00707-002-1000-3 ◽

2003 ◽

Vol 162 (1-4) ◽

pp. 143-155 ◽

Cited By ~ 25

Author(s):

L.-Q. Chen ◽

J. W. Zu ◽

J. Wu

Keyword(s):

Steady State ◽

Superposition Principle ◽

Steady State Response ◽

Parametrically Excited ◽

State Response ◽

Axially Moving String ◽

Axially Moving ◽

Boltzmann Superposition Principle

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Relations among the Response Functions: The Boltzmann Superposition Principle

Anelastic Relaxation in Crystalline Solids ◽

10.1016/b978-0-12-522650-9.50008-2 ◽

1972 ◽

pp. 30-40

Keyword(s):

Superposition Principle ◽

Response Functions ◽

Boltzmann Superposition Principle

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The dynamic surface tension and the boltzmann superposition principle

Colloids and Surfaces ◽

10.1016/0166-6622(89)80339-7 ◽

1989 ◽

Vol 23 (3) ◽

pp. 259-266 ◽

Cited By ~ 10

Author(s):

I. Balbaert ◽

P. Joos

Keyword(s):

Surface Tension ◽

Superposition Principle ◽

Dynamic Surface Tension ◽

Dynamic Surface ◽

Boltzmann Superposition Principle

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Stability Properties of a Viscoelastic Column Under a Periodic Force

Journal of Applied Mechanics ◽

10.1115/1.2899424 ◽

1992 ◽

Vol 59 (1) ◽

pp. 16-19 ◽

Cited By ~ 30

Author(s):

G. Cederbaum ◽

M. Mond

Keyword(s):

Superposition Principle ◽

Viscoelastic Behavior ◽

Equation Of Motion ◽

Stable System ◽

Elastic Model ◽

Periodic Force ◽

Stability Properties ◽

Viscoelastic Column ◽

The Stability ◽

Boltzmann Superposition Principle

The dynamic stability of a viscoelastic column subjected to a periodic longitudinal load is investigated. The viscoelastic behavior is given in terms of the Boltzmann superposition principle which yields an integro-differential equation of motion. The stability boundaries of this equation are determined analytically by using the multiplescales method. It is shown that due to the viscoelasticity the stability regions are expanded, relative to the elastic ones, and the time for which a stable system becomes unstable is given. In addition, the stability properties of the viscoelastic column are time dependent and an initially stable system can turn unstable after a finite time, unlike columns that are described by the elastic model.

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