An entropic formulation of relativistic continuum mechanics is developed in the Landau-Lifshitz frame. We introduce two spatial scales, one being the small scale representing the linear size of each material particle and the other the large scale representing the linear size of a large system which consists of material particles and is to linearly regress to the equilibrium. We propose a local ...

This paper presents a variational and multisymplectic formulation of both compressible and incompressible models of continuum mechanics on general Riemannian manifolds. A general formalism is developed for non-relativistic first-order multisymplectic field theories with constraints, such as the incompressibility constraint. The results obtained in this paper set the stage for multisymplectic re...

We present an overview of hybridizable discontinuous Galerkin methods for solving partial differential equations (PDEs) in continuum mechanics [1, 2, 3, 4]. The essential ingredients are a local Galerkin projection of the underlying PDEs at the element level onto spaces of polynomials of degree k to parametrize the numerical solution in terms of the numerical trace; a judicious choice of the nu...

The era of commodity computing brings a profound change in the use of numerical analysis of continuum mechanics problems in science and engineering. Teraflop-rate computing facility, until recently available only to chosen few is becoming commonplace in an industrial setting. Range and complexity of problems where numerical methods are applied is also expanding. Here, massive reduction in the c...

Understanding the kinematics of the tongue during normal speech will provide important information both for accurate modeling of the acoustics of the vocal tract and for clinical diagnosis and enhanced treatment of persons with abnormal speech due to tongue motion impediments. Measuring tongue motion can be done using magnetic resonance imaging (MRI) which cannot provide the temporal resolution...

The charm contribution into the proton structure function in DIS at the HERA ep-collider Abstract In the framework of perturbative QCD and a model for the production of charmed hadrons the structure function F c 2 is calculated and compared with the experimental data of H1 and ZEUS Collaborations. We show that the spectator mechanism of the D *-meson production independent of a hadronic remnant...

The curvature of DIS structure functions like F p 2 (x,Q ), i.e., its second derivative with respect to the photon’s virtuality Q at fixed values of x, plays a decisive role in probing the range of validity of perturbative QCD evolutions of parton distributions in the small-x region. This has been observed recently [1, 2, 3, 4] and it was demonstrated that NLO(MS) evolutions imply a positive cu...

This paper presents the thermal vibration analysis of double-layer graphene sheet embedded in polymer elastic medium, using the plate theory and nonlocal continuum mechanics for small scale effects. The graphene is modeled based on continuum plate theory and the axial stress caused by the thermal effects is also considered. Nonlocal governing equations of motion for this double-layer graphene s...

The nonlinear bending behavior of sector graphene sheets is studied subjected to uniform transverse loads resting on a Winkler-Pasternak elastic foundation using the nonlocal elasticity theory. Considering the nonlocal differential constitutive relations of Eringen theory based on first order shear deformation theory and using the von-Karman strain field, the equilibrium partial differential eq...

Because of the substantial difference in stiffness between matrix and nanotube in CNT composite, the stress transfer between them controls their mechanical properties. This paper investigates the said issue, analytically and numerically, in axial load using representative volume element (RVE). The analytical model was established based on the modified Cox’s shear lag model with the use of some ...