Found 47 Documents (Results 1–47)
Classical elastodynamics as a linear symmetric hyperbolic system in terms of \((\mathbf{u}_{\mathbf{x}}, \mathbf{u}_t)\). (English) Zbl 07919153
General relativistic Lagrangian continuum theories. I: Reduced variational principles and junction conditions for hydrodynamics and elasticity. (English) Zbl 07828069
Relativistic theory of elastic bodies in the presence of gravitational waves. (English) Zbl 1521.83026
A new family of thermodynamically compatible discontinuous Galerkin methods for continuum mechanics and turbulent shallow water flows. (English) Zbl 1503.65223
MSC:
65M60
65L06
65N30
65M12
76F10
76B15
76D05
76N06
76M10
74B20
74S05
80A19
35L02
35Q31
35Q30
35Q79
Mean-field model for the junction of two quasi-1-dimensional quantum Coulomb systems. (English) Zbl 1461.81049
Some observations on variational elasticity and its application to plates and membranes. (English) Zbl 1439.74167
Reviewer: V. Leontiev (Ul’yanovsk)
An approximated model of multi-temperature mixtures for the description of second sound propagation. (English) Zbl 1272.35144
Bargmann group, momentum tensor and Galilean invariance of Clausius-Duhem inequality. (English) Zbl 1423.80012
The electronic structure of smoothly deformed crystals: Wannier functions and the Cauchy-Born Rule. (English) Zbl 1253.74025
Reviewer: I. A. Parinov (Rostov-na-Donu)
Weak shock waves in isotropic solids at finite temperatures up to the melting point. (English) Zbl 1160.74370
A new method to exploit the entropy principle and Galilean invariance in the macroscopic approach of extended thermodynamics. (English) Zbl 1378.74006
Canonical formulation and conservation laws of thermoelasticity without dissipation. (English) Zbl 1121.74019
Inverse scattering in one-dimensional nonconservative media. (English) Zbl 0916.34070
Reviewer: J.P.Zubelli (Santa Cruz)
Unconstrained variational principle and canonical structure for relativistic elasticity. (English) Zbl 0897.73011
Shock wave propagation and admissibility criteria in a nonlinear dielectric medium. (English) Zbl 0829.73060
Pseudomomentum and material forces in nonlinear elasticity: Variational formulations and application to brittle fracture. (English) Zbl 0780.73014
Reviewer: T.Zlatanovski (Skopje)
On continuum theories involving quasilinear first order non-conservative systems with involutions and a supplementary inequality. (English) Zbl 0762.73002
A heat conduction equation with three relaxation times. Particular solutions. (English) Zbl 0705.73012
Infinitesimal deformations of finite conjugacies in nonlinear classical or general relativistic theory of elasticity. (English) Zbl 0665.73014
The relativistic theory of wave front propagation in non-heat conducting thermoelastic materials - Variation of amplitude of waves. (English) Zbl 0637.73005
Conjugaisons finies et milieux continus en relativité générale. (Finite conjugacy and continuous media in general relativity). (French) Zbl 0636.73001
A model of continuous, thermoelastic media within the frame of extended thermodynamics. (English) Zbl 0581.73009
On the propagation of infinitesimal discontinuities in relativistic hypoelasticity. (English) Zbl 0549.73023
The relativistic theory of wave propagation in heat conducting thermoelastic materials - Variation of amplitude of plane waves. (English) Zbl 0436.73027
The method of virtual power in continuum mechanics: Application to coupled fields. (English) Zbl 0428.73095
Plane waves in electrically conducting and magnetizable viscoelastic isotropic solids subjected to a uniform magnetic field. (English) Zbl 0391.73095
Exact relativistic theory of wave propagation in prestressed nonlinear elastic solids. (English) Zbl 0375.73025
Infinitesimal discontinuities in initially stressed relativistic elastic solids. (English) Zbl 0354.73031
MSC:
74J99
Vibrations excitees par une onde gravitationnelle dans les milieux élastiques et viscoélastiques. (French) Zbl 0328.73026
Structures de variétés bimodelees et dynamique analytique des milieux continus. (French) Zbl 0295.58004
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