Details
| Original language | English |
|---|---|
| Article number | 49 |
| Journal | Continuum Mechanics and Thermodynamics |
| Volume | 37 |
| Issue number | 3 |
| Early online date | 12 Apr 2025 |
| Publication status | Published - May 2025 |
Abstract
An important part for material modeling is the consideration of electromagnetic fields. In this paper, we add them to Hamilton’s principle for mechanical and thermal fields. We begin with a brief introduction to the electric and magnetic limit cases, which allows a non-relativistic formulation. After introducing the thermodynamic fundamentals, we present the Hamilton functionals for the limit cases from which we derive our governing system of equations by applying Hamilton’s principle of stationary action. In order to be able to describe the microstructure as well, we also consider general internal variables. After the derivation of the equations for the dominant fields, we show how to obtain the secondary fields. For both limit cases we show an example where the dominant electromagnetic field and the mechanic field are coupled by material properties.
Keywords
- Coupled problems, Electro-thermo-mechanics, Magneto-thermo-mechanics, Maxwell equations, Multi-physics, Variational calculus
ASJC Scopus subject areas
- Materials Science(all)
- General Materials Science
- Engineering(all)
- Mechanics of Materials
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: Continuum Mechanics and Thermodynamics, Vol. 37, No. 3, 49, 05.2025.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On an extended Hamilton principle for electro/magneto-thermo-mechanical materials with dissipative microstructure evolution
AU - Wolf, Sebastian
AU - Junker, Philipp
N1 - Publisher Copyright: © The Author(s) 2025.
PY - 2025/5
Y1 - 2025/5
N2 - An important part for material modeling is the consideration of electromagnetic fields. In this paper, we add them to Hamilton’s principle for mechanical and thermal fields. We begin with a brief introduction to the electric and magnetic limit cases, which allows a non-relativistic formulation. After introducing the thermodynamic fundamentals, we present the Hamilton functionals for the limit cases from which we derive our governing system of equations by applying Hamilton’s principle of stationary action. In order to be able to describe the microstructure as well, we also consider general internal variables. After the derivation of the equations for the dominant fields, we show how to obtain the secondary fields. For both limit cases we show an example where the dominant electromagnetic field and the mechanic field are coupled by material properties.
AB - An important part for material modeling is the consideration of electromagnetic fields. In this paper, we add them to Hamilton’s principle for mechanical and thermal fields. We begin with a brief introduction to the electric and magnetic limit cases, which allows a non-relativistic formulation. After introducing the thermodynamic fundamentals, we present the Hamilton functionals for the limit cases from which we derive our governing system of equations by applying Hamilton’s principle of stationary action. In order to be able to describe the microstructure as well, we also consider general internal variables. After the derivation of the equations for the dominant fields, we show how to obtain the secondary fields. For both limit cases we show an example where the dominant electromagnetic field and the mechanic field are coupled by material properties.
KW - Coupled problems
KW - Electro-thermo-mechanics
KW - Magneto-thermo-mechanics
KW - Maxwell equations
KW - Multi-physics
KW - Variational calculus
UR - http://www.scopus.com/inward/record.url?scp=105002708931&partnerID=8YFLogxK
U2 - 10.1007/s00161-025-01373-0
DO - 10.1007/s00161-025-01373-0
M3 - Article
AN - SCOPUS:105002708931
VL - 37
JO - Continuum Mechanics and Thermodynamics
JF - Continuum Mechanics and Thermodynamics
SN - 0935-1175
IS - 3
M1 - 49
ER -