Continuum Mechanics and Thermodynamics
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A refined assumed strain finite element model for statics and dynamics of laminated plates
Continuum Mechanics and Thermodynamics - Tập 32 - Trang 665-692 - 2018
This work discusses some alternate models of a mixed assumed strain finite element which has been developed for laminated plates. After a brief theoretical review about this kind of plates and their possible finite element formulation, specifically devised for predicting the mechanical behavior of such structures, we discuss four possible assumptions for strains generating four kinds of mixed assu...... hiện toàn bộ
A new approach for the ellipsoidal statistical model
Continuum Mechanics and Thermodynamics - Tập 20 - Trang 63-74 - 2008
In this paper we aim to introduce a systematic way to derive relaxation terms for the Boltzmann equation based on the minimization problem for the entropy under moments constraints (Levermore in J. Stat. Phys. 83:1021–1065, 1996; Schneider in M2AN 38:541–561, 2004). In particular the moment constraints and corresponding coefficients are linked with the eigenfunctions and eigenvalues of the lineari...... hiện toàn bộ
The effect of fluid streams in porous media on acoustic compression wave propagation, transmission, and reflection
Continuum Mechanics and Thermodynamics - Tập 25 - Trang 173-196 - 2012
In geomechanics, a relevant role is played by coupling phenomena between compressible fluid seepage flow and deformation of the solid matrix. The behavior of complex porous materials can be greatly influenced by such coupling phenomena. A satisfactorily theoretical framework for their description is not yet completely attained. In this paper, we discuss how the model developed in dell’Isola et al....... hiện toàn bộ
Modeling interface shear behavior of granular materials using micro-polar continuum approach
Continuum Mechanics and Thermodynamics - Tập 30 - Trang 95-126 - 2017
Recently, the authors have focused on the shear behavior of interface between granular soil body and very rough surface of moving bounding structure. For this purpose, they have used finite element method and a micro-polar elasto-plastic continuum model. They have shown that the boundary conditions assumed along the interface have strong influences on the soil behavior. While in the previous studi...... hiện toàn bộ
CFD by first order PDEs
Continuum Mechanics and Thermodynamics - Tập 21 - Trang 445-465 - 2009
This research originally was aimed at modeling all flows (except free-molecular) by systems of hyperbolic-relaxation equations (moments of the Boltzmann equation), and developing efficient numerical methods for these. Such systems have many potential numerical advantages, mainly because there are no second or higher derivatives to be approximated. This avoids accuracy problems on adaptive unstruct...... hiện toàn bộ
Stationary solutions for the one-dimensional Fr�mond model of shape memory Effects
Continuum Mechanics and Thermodynamics - - 1991
Theoretical and experimental validation of the variable-thickness topology optimization approach for the rib-stiffened panels
Continuum Mechanics and Thermodynamics - Tập 35 - Trang 1787-1806 - 2023
In this paper, we consider compliance minimization problems within the variable-thickness approach for the rib-stiffened plates subjected to a transverse loading. It is known, that such optimization problems are usually not well posed and their solutions become strongly mesh-dependent. To overcome this issue, we introduce additional regularization constraint on the thickness gradient and evaluate ...... hiện toàn bộ
Metamaterials with relative displacements in their microstructure: technological challenges in 3D printing, experiments and numerical predictions
Continuum Mechanics and Thermodynamics - Tập 31 - Trang 1015-1034 - 2018
3D printing technology has opened application perspectives which were difficult to imagine only few years ago. In this paper, we show how it is possible to design and print some microstructures in which relative displacements are allowed at micro-level. Some structural elements have been built in the aforementioned structures which can be confidently modeled as perfect pivots or as soft elastic co...... hiện toàn bộ
Determination of boundary conditions in extended thermodynamics via fluctuation theory
Continuum Mechanics and Thermodynamics - Tập 16 - Trang 411-425 - 2004
A system of equations from extended thermodynamics is proposed for the calculation of the temperature field in a rarefied gas at rest. Numerical simulations suggest that the temperature field in this case should exhibit boundary layers superposed on the classical Fourier solution. In order to derive such a field from the extended thermodynamics of moments, one needs boundary values for higher mome...... hiện toàn bộ
Theoretical solutions for spectral function of the turbulent medium based on the stochastic equations and equivalence of measures
Continuum Mechanics and Thermodynamics - Tập 33 - Trang 603-610 - 2020
The analytical formulas for spectrum of turbulence on the basis of the new theory of stochastic hydrodynamics are presented. This theory is based on the theory of stochastic equations of continuum laws and equivalence of measures between random and deterministic movements. The purpose of the article is to present a solutions based on these stochastic equations for the formation of the turbulence s...... hiện toàn bộ
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