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Journal ArticleDOI

Numerical calculation of stress relaxation modulus from dynamic data for linear viscoelastic materials

F. R. Schwarzl
- 01 Jul 1975 - 
- Vol. 14, Iss: 7, pp 581-590
TLDR
In this paper, numerical formulae are given for stress relaxation modulus from the known course of the storage and loss modulus with frequency for linear viscoelastic materials.
Abstract
Numerical formulae are given for calculation of stress relaxation modulus from the known course of the storage and loss modulus with frequency for linear viscoelastic materials. The formulae involve values of the storage modulus and/or loss modulus at frequencies equally spaced on a logarithmic frequency scale, the ratio between successive frequencies beeing two. A method is introduced by which bounds for the relative errors of these formulae can be derived. These bounds depend on the value of the damping, tanδ, at the angular frequency,ω, for which the calculation is made. The less the damping, the simpler the calculation of the stress relaxation modulus. This calculation involves either the value of the storage modulus at a frequencyω 0 = 1/t, and the values of the loss modulus in a rather narrow frequency region aroundω 0, or the value of the storage modulus at frequencyω 0 and the derivative of the storage modulus with respect to the logarithm of frequency in a frequency region aroundω 0.

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Citations
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Journal ArticleDOI

Formability analyses of uni-directional and textile reinforced thermoplastics

TL;DR: In this article, the deformations during forming of carbon UD/PEEK and glass 8HS/PPS blanks with a quasi-isotropic lay-up were analyzed.
Journal ArticleDOI

Silica-graphene oxide hybrid composite particles and their electroresponsive characteristics.

TL;DR: The electrorheological (ER) characteristics of the Si-GO hybrid composite based ER fluid were examined by optical microscopy and a rotational rheometer in controlled shear rate mode under various electric field strengths and showed a good correlation with its ER characteristics.
Journal Article

Formability analyses of uni-directional and textile reinforced thermoplastics Part A Applied science and manufacturing

TL;DR: In this paper, the deformations during forming of carbon UD/PEEK and glass 8HS/PPS blanks with a quasi-isotropic lay-up were analyzed.
Journal ArticleDOI

Electrorheology of Graphene Oxide

TL;DR: Novel polarizable graphene oxide particles with oxidized groups on their edge and basal planes were prepared by a modified Hummers method, and their electro-responsive electrorheological (ER) characteristics when dispersed in silicone oil were examined with and without an electric field applied.
Journal ArticleDOI

Molar Mass and Molecular Weight Distribution Determination Of UHMWPE Synthesized Using a Living Homogeneous Catalyst

TL;DR: In this article, melt rheometry based on the modulus model is utilized to measure the molar mass and polydispersity of ultra high-molecular-weight polyethylenes (UHMWPEs) having molar masses > 1.
References
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Journal ArticleDOI

Numerical calculation of storage and loss modulus from stress relaxation data for linear viscoelastic materials

F. R. Schwarzl
- 01 Jun 1971 - 
TL;DR: In this article, numerical formulae for the storage and loss modulus from the known course of the stress relaxation modulus for linear viscoelastic materials are given for linear viscous materials.
Journal ArticleDOI

The numerical calculation of storage and loss compliance from creep data for linear viscoelastic materials

F. R. Schwarzl
- 01 Mar 1969 - 
TL;DR: In this paper, Steinkopff et al. presented numerical formulae for storage and loss compliance from the course of the creep compliance for linear viscoelastic materials.
Journal ArticleDOI

Numerical calculation of creep compliance from dynamic data for linear viscoelastic materials

F. R. Schwarzl
- 01 Sep 1970 - 
TL;DR: In this article, numerical formulae are given for the calculation of creep compliance from the known course of the storage and loss compliance with frequency for linear viscoelastic materials, which involve values of storage compliance and/or loss compliance at frequencies which are equally spaced on a logarithmic frequency scale.
Book ChapterDOI

On the Interconversion of Linear Viscoelastic Functions with Special Application to Shear Behavior in the Glass-Rubber Transition Region

TL;DR: In this paper, the problem of interconverting measurable functions for linear viscoelastic materials is reviewed, and a system of numerical formulae for such interconversions is presented, together with bounds for the errors.
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