Titlebook: Notes on Continuum Mechanics; Eduardo W. V. Chaves Textbook 2013 CIMNE 2013 constitutive equations.continuum mechanics.damage mechanics.fu

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The Fundamental Equations of Continuum Mechanics,The fundamental equations of continuum mechanics are based on the conservation principles of certain physical quantities. We consider five of these to establish the basic equations that govern the Initial Boundary Value Problem (IBVP), namely:

MAIM

Introduction to Fluids,In this chapter, we will introduce an important branch of continuum mechanics: fluid mechanics with which we intend to study fluids in motion or at rest. These can be classified into: . There are several areas where fluids mechanics can be applied, . meteorology, oceanography, aerodynamics, hydrodynamics and engineering, among others.

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Linear Elasticity,n the displacement gradient is sufficiently small when compared with the unity. In this scenario we can apply the infinitesimal strain regime (small deformation) which was discussed in Chapter 2 (see subsection 2.14).

Migratory

Hyperelasticity, there being any internal energy dissipation (which is typical en elastic process). These materials are classified as being hyperelastic and purely hyperelastic materials have no memory of motion history, . they are only dependent on the current values of the state variables.