Continuum Mechanics/Basic Assumptions of Continuum Mechanics

Structure of matter

1. Characteristic sizes of atoms and molecules (on example of hydrogen atom and molecule)
2. Number of molecules in different volumes of different gases in different spaces
3. Distribution of mass
4. Molecules move chaotically

Interactions between particles

1. Gravitational (considerable among large objects, almost inconspicuous on molecule level)
2. Weak
3. Strong (considerable only on very short distances, large amount of energy is needed to get such distances)
4. Electromagnetic - exactly what we need

Something about how to reduce phenomena of durability and elasticity to Coulomb interactions.

Considerable physical and chemical processes

1. Electrodynamics
2. Phase states (examples)
3. Properties of matter and components of compounds
4. Chemical reactions
5. Phase transitions
6. Thermal motion
7. Thermal expansion
8. Viscosity
9. Eradiation
10. Polarization and magnetization
11. Quantum mechanics

Statistical and Phenomenological Description of Substances

1. Futility of trying to write a system of equations to every particle

Usage of mean, summary or global characteristics is essential.

1. Disadvantages of statistical description due to need of additional sometimes groundless hypotheses
2. Cute phenomenological description

About Space and Time

• Metric manifolds
• E.g. 3-dimensional Euclidean space
• We will not use pseudo Euclidean spaces
• Absolute time
• Newton mechanics