[图书][B] Electrodynamics of continua I: foundations and solid media

AC Eringen, GA Maugin - 2012 - books.google.com
The electrodynamics of continua is a branch ofthe physical sciences concerned with the
interaction of electromagnetic fields with deformable bodies. De formable bodies are …

Foundations of general relativistic high-pressure elasticity theory

B Carter, H Quintana - … of the Royal Society of London. A …, 1972 - royalsocietypublishing.org
A fully relativistic formulation of the concept of a perfectly elastic solid is developed with a
view to application to such problems as (a) the interaction of gravitational radiation with …

[图书][B] Electrodynamics of continua II: fluids and complex media

AC Eringen, GA Maugin - 2012 - books.google.com
This is the second volume of a two-volume set presenting a unified approach to the
electrodynamics of continua, based on the principles of contemporary continuum of physics …

Elastic stars in general relativity: I. Foundations and equilibrium models

M Karlovini, L Samuelsson - Classical and Quantum Gravity, 2003 - iopscience.iop.org
The aim of this paper is twofold. First, we set up the theory of elastic matter sources within
the framework of general relativity in a self-contained manner. The discussion is primarily …

A covariant action principle for dissipative fluid dynamics: from formalism to fundamental physics

N Andersson, GL Comer - Classical and Quantum Gravity, 2015 - iopscience.iop.org
We present a new variational framework for dissipative general relativistic fluid dynamics.
The model extends the convective variational principle for multi-fluid systems to account for …

Finite incompatible deformations in elastic solids: Relativistic approach

S Lychev, K Koifman, D Bout - Lobachevskii Journal of Mathematics, 2022 - Springer
The Lagrangian approach for modeling of relativistic elastic solid with distributed defects is
developed. The influence of defects on stress-strain state of the solid is taken into account …

Souriau's general covariant formulation of Relativistic Hyperelasticity revisited

B Kolev, R Desmorat - Journal of the Mechanics and Physics of Solids, 2023 - Elsevier
We present and modernize Souriau's 1958 geometric framework for Relativistic continuous
media, and enlighten the necessary and the ad hoc modeling choices made since. We focus …

Canonical frame-indifferent transport operators with the four-dimensional formalism of differential geometry

E Rouhaud, B Panicaud, R Kerner - Computational Materials Science, 2013 - Elsevier
To say that a constitutive model has to verify “the principle of material objectivity” to ensure
its frame-indifference has become a common wisdom. Objective transports are thus defined …

[PDF][PDF] Exact relativistic theory of wave propagation in prestressed nonlinear elastic solids

GA Maugin - Annales de l'institut Henri Poincaré. Section A …, 1978 - numdam.org
Exact relativistic theory of wave propagation in prestressed nonlinear elastic solids Page 1
ANNALES DE L’IHP, SECTION A GÉRARD A. MAUGIN Exact relativistic theory of wave …

Objectivity and objective time derivatives in continuum physics

F Bampi, A Morro - Foundations of Physics, 1980 - Springer
The role played by objectivity in continuum physics is reexamined in an attempt to establish
fully its deep connection with classical and relativistic time derivatives. The way of …