Theory of electroviscoelasticity
Апстракт
So far, three possible mathematical formalisms have been discussed related to the developed theory of electroviscoelasticity. The first is tension tensor model where the normal and tangential forces are considered regardless, only from mathematical point of view, of their origin (mechanical or electrical). The second is van der Pol integral-derivative model. Finally, the third model presents an effort to generalize the van der Pol integral–differential equation; the ordinary time derivative and integral are now replaced with corresponding fractional-order time derivative and integral of order 0 , p , 1. Each of these mathematical formalisms, although related to the same physical formalism, facilitate a better understanding of different aspects of a droplet existence (formation, life, and destruction). Tension tensor model discusses the force equilibrium at the interfaces, either deformable or rigid, but its solution is difficult because the tensor contain nonlinear and complex elemen...ts. van der Pol derivative model is convenient for discussion of the antenna output circuit, the
resulting equivalent electrical circuit; but in the case of nonlinear oscillators, that is here the realistic one, the problem of determining the noise output is complicated by the fact that the output is fed back into the system, thus modifying the effective noise input in a complicated manner. The noise output appears as an induced anisotropic effect.
The theory of electroviscoelasticity using fractional approach constitutes a new interdisciplinary approach to colloid and interface science. Hence, (1) more degrees of freedom are in the model, (2) memory storage considerations and hereditary properties are included in the model, and (3) history or impact to the present and future is in the game.
Кључне речи:
Electroviscoelasticity / van der Pol model / fractional orderИзвор:
Finely Dispersed Particles:Micro-,Nano-,and Atto-Engineering, 2006, 371-393Издавач:
- CRC Press Taylor & Francis Group
Колекције
Институција/група
Mašinski fakultetTY - CHAP AU - Spasić, Aleksandar AU - Lazarević, Mihailo AU - Krstić, Dimitrije PY - 2006 UR - https://machinery.mas.bg.ac.rs/handle/123456789/6749 AB - So far, three possible mathematical formalisms have been discussed related to the developed theory of electroviscoelasticity. The first is tension tensor model where the normal and tangential forces are considered regardless, only from mathematical point of view, of their origin (mechanical or electrical). The second is van der Pol integral-derivative model. Finally, the third model presents an effort to generalize the van der Pol integral–differential equation; the ordinary time derivative and integral are now replaced with corresponding fractional-order time derivative and integral of order 0 , p , 1. Each of these mathematical formalisms, although related to the same physical formalism, facilitate a better understanding of different aspects of a droplet existence (formation, life, and destruction). Tension tensor model discusses the force equilibrium at the interfaces, either deformable or rigid, but its solution is difficult because the tensor contain nonlinear and complex elements. van der Pol derivative model is convenient for discussion of the antenna output circuit, the resulting equivalent electrical circuit; but in the case of nonlinear oscillators, that is here the realistic one, the problem of determining the noise output is complicated by the fact that the output is fed back into the system, thus modifying the effective noise input in a complicated manner. The noise output appears as an induced anisotropic effect. The theory of electroviscoelasticity using fractional approach constitutes a new interdisciplinary approach to colloid and interface science. Hence, (1) more degrees of freedom are in the model, (2) memory storage considerations and hereditary properties are included in the model, and (3) history or impact to the present and future is in the game. PB - CRC Press Taylor & Francis Group T2 - Finely Dispersed Particles:Micro-,Nano-,and Atto-Engineering T1 - Theory of electroviscoelasticity EP - 393 SP - 371 UR - https://hdl.handle.net/21.15107/rcub_machinery_6749 ER -
@inbook{ author = "Spasić, Aleksandar and Lazarević, Mihailo and Krstić, Dimitrije", year = "2006", abstract = "So far, three possible mathematical formalisms have been discussed related to the developed theory of electroviscoelasticity. The first is tension tensor model where the normal and tangential forces are considered regardless, only from mathematical point of view, of their origin (mechanical or electrical). The second is van der Pol integral-derivative model. Finally, the third model presents an effort to generalize the van der Pol integral–differential equation; the ordinary time derivative and integral are now replaced with corresponding fractional-order time derivative and integral of order 0 , p , 1. Each of these mathematical formalisms, although related to the same physical formalism, facilitate a better understanding of different aspects of a droplet existence (formation, life, and destruction). Tension tensor model discusses the force equilibrium at the interfaces, either deformable or rigid, but its solution is difficult because the tensor contain nonlinear and complex elements. van der Pol derivative model is convenient for discussion of the antenna output circuit, the resulting equivalent electrical circuit; but in the case of nonlinear oscillators, that is here the realistic one, the problem of determining the noise output is complicated by the fact that the output is fed back into the system, thus modifying the effective noise input in a complicated manner. The noise output appears as an induced anisotropic effect. The theory of electroviscoelasticity using fractional approach constitutes a new interdisciplinary approach to colloid and interface science. Hence, (1) more degrees of freedom are in the model, (2) memory storage considerations and hereditary properties are included in the model, and (3) history or impact to the present and future is in the game.", publisher = "CRC Press Taylor & Francis Group", journal = "Finely Dispersed Particles:Micro-,Nano-,and Atto-Engineering", booktitle = "Theory of electroviscoelasticity", pages = "393-371", url = "https://hdl.handle.net/21.15107/rcub_machinery_6749" }
Spasić, A., Lazarević, M.,& Krstić, D.. (2006). Theory of electroviscoelasticity. in Finely Dispersed Particles:Micro-,Nano-,and Atto-Engineering CRC Press Taylor & Francis Group., 371-393. https://hdl.handle.net/21.15107/rcub_machinery_6749
Spasić A, Lazarević M, Krstić D. Theory of electroviscoelasticity. in Finely Dispersed Particles:Micro-,Nano-,and Atto-Engineering. 2006;:371-393. https://hdl.handle.net/21.15107/rcub_machinery_6749 .
Spasić, Aleksandar, Lazarević, Mihailo, Krstić, Dimitrije, "Theory of electroviscoelasticity" in Finely Dispersed Particles:Micro-,Nano-,and Atto-Engineering (2006):371-393, https://hdl.handle.net/21.15107/rcub_machinery_6749 .