Titlebook: Continuum Mechanics using Mathematica®; Fundamentals, Method Antonio Romano,Addolorata Marasco Textbook 2014Latest edition Springer Science

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Constitutive Equations,ing to the external agents, satisfy the second principle of thermodynamics in any process. In such a way, the entropy inequality becomes a restriction on the constitutive equations rather than a restriction on the processes. The effects of these principles on the constitutive equations are analyzed for thermoviscoelastic materials.

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Fluid Dynamics and Ship Motion,e, the interaction between ship and sea, are taken into account. In order to evaluate all the terms appearing in the motion equations, it is necessary to consider the effects produced by waves propagating on the free surface of the sea. To the analysis of the wave propagation on the free surface are dedicated the last sections of the chapter.

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Finite and Infinitesimal Deformations,ment gradient, the infinitesimal deformations are defined. Finally, the compatibility conditions of a deformation are analyzed. After a section of exercises, the chapter ends with the introduction of the program Deformation, written with Mathematica. [69].

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Other Approaches to Thermodynamics,ls are discussed which have the purpose of making more convincing the extension of standard concepts of elementary thermodynamics to irreversible processes. In particular, we sketch the proposals of Day’s, Serrin’s, and of the extended thermodynamics.

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Ruhestandswanderung und stationäres Alternment gradient, the infinitesimal deformations are defined. Finally, the compatibility conditions of a deformation are analyzed. After a section of exercises, the chapter ends with the introduction of the program Deformation, written with Mathematica. [69].

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Petra Lucht,Lisa-Marian Schmidt,René Tumaological phenomena Reynolds’ turbolence is introduced. The effects of viscosity are considered in the Oberbeck–Boussinesq equations and Saltzmann equations. Lorentz solved these last equations by Fourier’s expansion and this approach leads him to an ordinary system of differential equations, whose solutions generate the deterministic chaos.