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fractional calculus
EP38698
Poster Title: fractional calculus
Submitted on 29 Apr 2022
Author(s): Yanhira Rentería
Affiliations: UANL
This poster was presented at uanl
Poster Views: 220
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Poster Information
Abstract: Mechanical and electrical properties have been investigated as a useful tool for the relaxation phenomena study of polymeric materials through the complex elastic modulus E* and the complex relative permittivity Ɛ* analysis[1], under isothermal and isochronal conditions obtained by dynamic techniques. The experimental results provide a basis to establish a correlation between the electrical and mechanical characteristics of the material[2]. Classical rheological models based on traditional calculus are inaccurate while describing the physical phenomena associated with some molecular motions that the material presents due to segments rearrangement in the polymer chains. Thus, the application of differential and integral operators of non-integer order, known as fractional calculus, as an alternative for the properties description in polymer systems and its validation with experimental results is suggested[3,4].
Summary: Mechanical and electrical properties have been investigated as a useful tool for the relaxation phenomena study of polymeric materials through the complex elastic modulus E* and the complex relative permittivity Ɛ* analysis[1], under isothermal and isochronal conditions obtained by dynamic techniques. The experimental results provide a basis to establish a correlation between the electrical and mechanical characteristics of the material[2]. References: [1] Materiales poliméricos dieléctricos. Jesús G. Puente Córdova, M. Edgar Reyes Melo, Beatriz C. López Walle, Virgilio A. González González. DIMAT FIME-UANL. Ingenierías, 2012, Vol. XV, No. 57.eferences
[2] Correlation between Electrical and Mechanical Properties of Polymer Composite. I.B. Vendik, et al., Electronic Components and Technology Conference, 2011, 1697-1702.
[3] Aplicación del cálculo fraccional en el modelado de la viscoelasticidad en polímeros. Parte I: Manifestación mecánica de la viscoelasticidad. Martín Edgar Reyes Melo, Carlos Alberto Guerrero Salazar, Ubaldo Ortiz Méndez. DIMAT FIME-UANL. Juan Jorge Martínez Vega. UPS. Ingenierías, 2005, Vol. VIII, No. 27.
[4] Aplicación del cálculo fraccional en el modelado de la viscoelasticidad en polímeros. Parte II: Manifestación dieléctrica de la viscoelasticidad. Martín Edgar Reyes Melo, Carlos Alberto Guerrero Salazar, Ubaldo Ortiz Méndez. DIMAT FIME-UANL. Juan Jorge Martínez Vega. UPS. Ingenierías, 2005, Vol. V
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