In this work, the JJ-, M- and LL-integrals of two line charges and two line forces in generalized plane strain are derived in the framework of three-dimensional (3D) electrostatics and three-dimensional compatible linear elasticity, respectively, in order to study the interaction between them. The key point in this derivation is achieved by expressing the JJ-, M- and LL-integrals of point charges and point forces in three dimensions in terms of the corresponding three-dimensional Green functions, that is, the three-dimensional Green function of the Laplace operator and the three-dimensional Green tensor of the Navier operator, respectively. The major mathematical tool used in deriving the JJ-, M- and L3-integrals of line charges and line forces from the corresponding JJ-, M- and LL-integrals of point charges and point forces is the method of embedding or method of descent of Green functions to two dimensions (2D) from the corresponding Green functions in 3D. The analytical expressions of JJ-, M- and L3-integrals of line charges and line forces in antiplane and plane strain are derived and discussed. The JJ-integral is the electrostatic part of the Lorentz force (electrostatic interaction force) between two line charges in electrostatics and the Cherepanov force between two line forces in elasticity. ... mehr

Zugehörige Institution(en) am KIT |
Institut für Technische Mechanik (ITM) |

Publikationstyp |
Zeitschriftenaufsatz |

Publikationsjahr |
2023 |

Sprache |
Englisch |

Identifikator |
ISSN: 0001-5970, 1619-6937 KITopen-ID: 1000159674 |

Erschienen in |
Acta Mechanica |

Verlag |
Springer |

Vorab online veröffentlicht am |
03.04.2023 |

Nachgewiesen in |
Scopus Dimensions Web of Science |

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