Continuum Mechanics and Thermodynamics
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An exact analytical solution of the unsteady magnetohydrodynamics nonlinear dynamics of laminar boundary layer due to an impulsively linear stretching sheet
Continuum Mechanics and Thermodynamics - Tập 29 - Trang 559-567 - 2016
In this paper, we investigate the theoretical analysis for the unsteady magnetohydrodynamic laminar boundary layer flow due to impulsively stretching sheet. The third-order highly nonlinear partial differential equation modeling the unsteady boundary layer flow brought on by an impulsively stretching flat sheet was solved by applying Adomian decomposition method and Pade approximants. The exact an......
Some research perspectives in galloping phenomena: critical conditions and post-critical behavior
Continuum Mechanics and Thermodynamics - Tập 27 - Trang 261-285 - 2014
This paper gives an overview of wind-induced galloping phenomena, describing its manifold features and the many advances that have taken place in this field. Starting from a quasi-steady model of aeroelastic forces exerted by the wind on a rigid cylinder with three degree-of-freedom, two translations and a rotation in the plane of the model cross section, the fluid–structure interaction forces are......
Ordered rate constitutive theories for thermoviscoelastic solids with memory in Lagrangian description using Gibbs potential
Continuum Mechanics and Thermodynamics - Tập 27 Số 6 - Trang 1019-1038 - 2015
The virial theorem and the kinetic energy of particles of a macroscopic system in the general field concept
Continuum Mechanics and Thermodynamics - Tập 29 - Trang 361-371 - 2016
The virial theorem is considered for a system of randomly moving particles that are tightly bound to each other by the gravitational and electromagnetic fields, acceleration field and pressure field. The kinetic energy of the particles of this system is estimated by three methods, and the ratio of the kinetic energy to the absolute value of the energy of forces, binding the particles, is determine......
A new deformation measure for micropolar plates subjected to in-plane loads
Continuum Mechanics and Thermodynamics - Tập 34 - Trang 243-257 - 2021
This work aims to analyze the effect of a new deformation measure in the response of 2D plates subjected to in-plane loads. The proposed formulation allows to clearly distinguish the energetic contribution of every involved deformation mechanism. The action functional is supposed to depend on a strain, a wryness and a new relative rotation tensor in the nonlinear hypothesis; therefore, the suggest......
Sharp limit of the viscous Cahn–Hilliard equation and thermodynamic consistency
Continuum Mechanics and Thermodynamics - Tập 29 - Trang 913-934 - 2015
Diffuse and sharp interface models represent two alternatives to describe phase transitions with an interface between two coexisting phases. The two model classes can be independently formulated. Thus there arises the problem whether the sharp limit of the diffuse model fits into the setting of a corresponding sharp interface model. We call a diffuse model admissible if its sharp limit produces in......
An implicit strong $$\mathrm {G}^{1}$$ -conforming formulation for the analysis of the Kirchhoff plate model
Continuum Mechanics and Thermodynamics - Tập 32 - Trang 621-645 - 2018
In this work, we present a quadrilateral plate element for the Kirchhoff plate bending model that satisfies the continuity requirements in implicit way. The element is designed on the basis of the rational Gregory’s enhancement of the bi-cubic Coons patch. This Coons-Gregory patch is based on the boundary data set of a surface, that accounts for both the displacement and the edge rotation along th......
Pantographic metamaterials: an example of mathematically driven design and of its technological challenges
Continuum Mechanics and Thermodynamics - Tập 31 - Trang 851-884 - 2018
In this paper, we account for the research efforts that have been started, for some among us, already since 2003, and aimed to the design of a class of exotic architectured, optimized (meta) materials. At the first stage of these efforts, as it often happens, the research was based on the results of mathematical investigations. The problem to be solved was stated as follows: determine the material......
On Euclidean objectivity and the principle of material frame-indifference
Continuum Mechanics and Thermodynamics - Tập 16 - Trang 177-183 - 2003
The essential idea of the principle of material frame-indifference - that material properties are frame indifferent, or constitutive functions are form invariant relative to change of observers - has been disputed recently by Murdoch in [1, 2] by the claim that the standard restrictions on constitutive functions can be deduced by purely objective considerations, without the requirement of form-inv......
A Markovian random walk model of epidemic spreading
Continuum Mechanics and Thermodynamics - Tập 33 - Trang 1207-1221 - 2021
We analyze the dynamics of a population of independent random walkers on a graph and develop a simple model of epidemic spreading. We assume that each walker visits independently the nodes of a finite ergodic graph in a discrete-time Markovian walk governed by his specific transition matrix. With this assumption, we first derive an upper bound for the reproduction numbers. Then, we assume that a w......
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