In continuum mechanics, we choose to disregard the atomic structure of matter and the explicit interactions among particles. The notion of continuum is justified by the assumption that a material is composed of sufficiently closely spaced particles, so that its descriptive functions can be considered to be continuous. In other words, the infinitesimal elements of the material are assumed to possess the same physical properties as the properties observed in macroscopic studies.
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Continuum mechanics
I do not know what I may appear to the world, but to myself I seem to have been only like a boy playing on the seashore, and diverting myself in now and then finding a smoother pebble or a prettier shell than ordinary, while the great ocean of truth lay all undiscovered before me, Isaac Newton.
Content of the module
1. Reminders of mathematics on index, vector and tensorial calculus
2. General-Continuity Assumptions
3. Kinematics of continuous media
4. Study of deformations
5. Dynamics of continuous media
6. Study of the stress tensor of Cauchy
7. Linear Elasticity
8. The equations of linear elasticity
9. Linear thermoelasticity