On the treatment of non-reciprocal rate-independent kinetics via thermodynamic extremal principles

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On the treatment of non-reciprocal rate-independent kinetics via thermodynamic extremal principles. / Hackl, K.; Fischer, Franz-Dieter; Svoboda, Jiří.
in: Journal of the mechanics and physics of solids, Jahrgang 145, 104149, 12.2020, S. 104149-1-7.

Publikationen: Beitrag in FachzeitschriftArtikelForschung(peer-reviewed)

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@article{aaad16e385534b69a2e42459c453bf52,
title = "On the treatment of non-reciprocal rate-independent kinetics via thermodynamic extremal principles",
abstract = "Onsager's Reciprocal Relations between thermodynamic forces and fluxes, for which Onsager was awarded the Nobel Prize, automatically follow from Thermodynamic Extremal Principles. Thus, the principles have been up to now non-applicable for the treatment of experimentally determined or theoretically modeled non-reciprocal systems as e.g. those involving magnetic fields. Recently, we were able to demonstrate that adding of a certain barrier constraint as bilinear form of thermodynamic forces and fluxes accounted by the Thermodynamic Extremal Principles leads to non-reciprocal relations between the thermodynamic forces and fluxes. In this work, we extend this formulation to rate-independent systems possessing non-differentiable dissipation functions. As an application, we show that the non-associated models of pressure dependent plasticity can be obtained in this fashion.",
keywords = "Barrier constraints, Non-reciprocal, Rate-independent, Thermodynamic extremal principle, Variational calculus",
author = "K. Hackl and Franz-Dieter Fischer and Ji{\v r}{\'i} Svoboda",
year = "2020",
month = dec,
doi = "10.1016/j.jmps.2020.104149",
language = "English",
volume = "145",
pages = "104149--1--7",
journal = "Journal of the mechanics and physics of solids",
issn = "0022-5096",
publisher = "Elsevier",

}

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TY - JOUR

T1 - On the treatment of non-reciprocal rate-independent kinetics via thermodynamic extremal principles

AU - Hackl, K.

AU - Fischer, Franz-Dieter

AU - Svoboda, Jiří

PY - 2020/12

Y1 - 2020/12

N2 - Onsager's Reciprocal Relations between thermodynamic forces and fluxes, for which Onsager was awarded the Nobel Prize, automatically follow from Thermodynamic Extremal Principles. Thus, the principles have been up to now non-applicable for the treatment of experimentally determined or theoretically modeled non-reciprocal systems as e.g. those involving magnetic fields. Recently, we were able to demonstrate that adding of a certain barrier constraint as bilinear form of thermodynamic forces and fluxes accounted by the Thermodynamic Extremal Principles leads to non-reciprocal relations between the thermodynamic forces and fluxes. In this work, we extend this formulation to rate-independent systems possessing non-differentiable dissipation functions. As an application, we show that the non-associated models of pressure dependent plasticity can be obtained in this fashion.

AB - Onsager's Reciprocal Relations between thermodynamic forces and fluxes, for which Onsager was awarded the Nobel Prize, automatically follow from Thermodynamic Extremal Principles. Thus, the principles have been up to now non-applicable for the treatment of experimentally determined or theoretically modeled non-reciprocal systems as e.g. those involving magnetic fields. Recently, we were able to demonstrate that adding of a certain barrier constraint as bilinear form of thermodynamic forces and fluxes accounted by the Thermodynamic Extremal Principles leads to non-reciprocal relations between the thermodynamic forces and fluxes. In this work, we extend this formulation to rate-independent systems possessing non-differentiable dissipation functions. As an application, we show that the non-associated models of pressure dependent plasticity can be obtained in this fashion.

KW - Barrier constraints

KW - Non-reciprocal

KW - Rate-independent

KW - Thermodynamic extremal principle

KW - Variational calculus

UR - http://www.scopus.com/inward/record.url?scp=85090414160&partnerID=8YFLogxK

U2 - 10.1016/j.jmps.2020.104149

DO - 10.1016/j.jmps.2020.104149

M3 - Article

VL - 145

SP - 104149-1-7

JO - Journal of the mechanics and physics of solids

JF - Journal of the mechanics and physics of solids

SN - 0022-5096

M1 - 104149

ER -