Variational principle for dissipative processes in continuum physics

Kotowski, Romuald; Radzikowska, E.

doi:10.1016/s0020-7225(99)00113-5

International Journal of Engineering Science

2000

DOI: 10.1016/s0020-7225(99)00113-5

|View full text |Cite

Variational principle for dissipative processes in continuum physics

Romuald Kotowski

E. Radzikowska

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2001

2010

Publication Types

Select...

Article2

Relationship

Self Cite1

Independent1

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Making use of the constitutive relations (64), equations (57), the material objectivity and the assumption of the continuity of the variations, we obtain the full system of electro-magneto-statics equations for liquid crystals in case of thermodynamic equilibrium: [9], [15]), one can obtain the equations describing the thermodynamical equilibrium process in that type of material. We conclude that the functional…”

mentioning

confidence: 99%

A Nonequilibrium Evolution Criterion for Electromagnetic Bodies

Radzikowska¹,

Kotowski²,

Muschik³

2001

Journal of Non-Equilibrium Thermodynamics

Self Cite

View full text Add to dashboard Cite

In this paper the micropolar medium exposed to the action of mechanical, thermal and electromagnetic ®elds is considered. The generalization of the global evolution criterion of nonequilibrium thermodynamics of micropolar media in the case of nonvanishing electromagnetic ®elds is derived. Interaction with the environment is modeled by the black-body radiation. Application of the criterion to liquid crystals in equilibrium state is given and the complete set of fundamental equations is derived.

show abstract

mentioning

confidence: 99%

A Nonequilibrium Evolution Criterion for Electromagnetic Bodies

Radzikowska¹,

Kotowski²,

Muschik³

2001

Journal of Non-Equilibrium Thermodynamics

Self Cite

View full text Add to dashboard Cite

show abstract

Constructing Poisson and Dissipative Brackets of Mixtures by using Lagrangian-to-Eulerian Transformation

Chen

2010

J. mech.

View full text Add to dashboard Cite

This paper aims to construct the bracket formalism of mixture continua by using the method of Lagrangian- to-Eulerian (LE) transformation. The LE approach first builds up the transformation relations between the Eulerian state variables and the Lagrangian canonical variables, and then transforms the bracket in Lagrangian form to the bracket in Eulerian form. For the conservative part of the bracket formalism, this study systematically generates the noncanonical Poisson brackets of a two-component mixture. For the dissipative part, we deduce the Eulerian-variable-based dissipative brackets for viscous and diffusive mechanisms from their Lagrangian-variable-based counterparts. Finally, the evolution equations of a micromorphic fluid, which can be treated as a multi-component mixture, are derived by constructing its Poisson and dissipative brackets.

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Variational principle for dissipative processes in continuum physics

Cited by 2 publications

References 11 publications

A Nonequilibrium Evolution Criterion for Electromagnetic Bodies

A Nonequilibrium Evolution Criterion for Electromagnetic Bodies

Constructing Poisson and Dissipative Brackets of Mixtures by using Lagrangian-to-Eulerian Transformation

Contact Info

Product

Resources

About