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Application of Differential Operator with Servo-Order Function in Model of Viscoelastic Deformation Process |
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| Authors: | Dov Ingman Joseph Suzdalnitsky |
| Affiliation: | 1Quality Assurance and Reliability, Technion–Israel Institute of Technology, Haifa 32000, Israel. E-mail: qadov@tx.technion.ac.il 2Quality Assurance and Reliability, Technion–Israel Institute of Technology, Haifa 32000, Israel (corresponding author). E-mail: iosef@tx.technion.ac.il |
| Abstract: | The aim of the present paper is the application of a differential operator of variable order in constitutive relations for viscoelastic material. The dependence of the order function on the strain and strain rate is evaluated on the basis of known experimental results on deformation of polymeric materials. Established dependences are used for studying the vibrations of a 1-degree-of-freedom oscillator, in which the viscoelastic deformation is governed by a servo order function. |
| Keywords: | Vibration Viscoelasticity Deformation Material properties |