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Continuum Mechanics

Part of the Modeling and Simulation in Science, Engineering and Technology Book Series

DOI: 10.1007/978-0-8176-4870-1

ISBN: 978-0-8176-4869-5

Publisher: Birkhäuser Boston - Springer Journals

Jun 25, 2010

1 - 10 of 10 Chapters

Available

Nonlinear Elasticity

Romano, Antonio; Marasco, Addolorata

Pages: 1 –66

[In this chapter we focus on the basics of nonlinear elasticity in order to show its interesting mathematical and physical aspects. Readers who are interested in delving deeper into this subject should refer to the many existing books on it (see, for instance, [1]–[15]).]
Available

Micropolar Elasticity

Romano, Antonio; Marasco, Addolorata

Pages: 67 –90

[The model of an elastic body S presented in the previous chapter cannot always be used to describe the behavior of a real body in a satisfactory way. In some cases, it can be usefully replaced by a more sophisticated model in which a set of one or more vectors, called directors, are associated...
Available

Continuous System with a Nonmaterial Interface

Romano, Antonio; Marasco, Addolorata

Pages: 91 –111

[In this chapter, we propose a macroscopic model of phase transitions. It is essential to note that any macroscopic model of these phenomena does not describe why a phase transition takes place nor the modifications it produces in the matter at a microscopic level. It is only able to describe how...
Available

Phase Equilibrium

Romano, Antonio; Marasco, Addolorata

Pages: 113 –132

[In this chapter we analyze some phase equilibrium problems using the model of a continuous system with an interface, which we explored in the previous chapter. We consider a system S consisting of two phases (that fill the regions C1 and C2) and an interface Σ. The body force b is assumed to...
Available

Stationary and Time-Dependent Phase Changes

Romano, Antonio; Marasco, Addolorata

Pages: 133 –148

[In the preceding chapter we used the model of a continuous system with a nonmaterial interface to analyze some phase equilibrium problems. In this chapter we show that it is possible to describe some stationary and timedependent phase changes by again adopting suitable models of a continuous...
Available

An Introduction to Mixture Theory

Romano, Antonio; Marasco, Addolorata

Pages: 149 –170

[We have already remarked that the simplified models of continuum mechanics (perfect and viscous fluids, elastic systems, etc.) do not always accurately describe the complex phenomenology exhibited by real materials. In Chap. 2 we discussed a nonstandard model that includes (along with the usual...
Available

Electromagnetism in Matter

Romano, Antonio; Marasco, Addolorata

Pages: 171 –204

[Let S be a continuous system, and let C(t) be the region occupied by S at the instant t. Generally, C(t) is the union of the disjoint regions C1 (t),…, Cν (t), and S exhibits the same physical properties in each of these regions. For instance, if S consists of two adjacent dielectrics occupying...
Available

Introduction to Magnetofluid Dynamics

Romano, Antonio; Marasco, Addolorata

Pages: 205 –224

[In this section we consider the equations of quasi-magnetostatics for a fluid S that is a perfect conductor.]
Available

Continua with an Interface and Micromagnetism

Romano, Antonio; Marasco, Addolorata

Pages: 225 –255

[In the presence of an external magnetic field, a ferromagnetic substance1 exhibits a behavior that is quite different from the behavior of a paramagnetic body. Under the same conditions, the former shows an induced magnetization that is much greater than the corresponding magnetization exhibited...
Available

Relativistic Continuous Systems

Romano, Antonio; Marasco, Addolorata

Pages: 257 –299

[In this section, for the reader’s convenience, we briefly recall the physical foundations upon which special relativity is built. This introduction will be useful when we present relativistic continuum mechanics.]

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