Continuum Mechanics/Basic Assumptions of Continuum Mechanics
Structure of matter
[edit | edit source]- Characteristic sizes of atoms and molecules (on example of hydrogen atom and molecule)
- Number of molecules in different volumes of different gases in different spaces
- Distribution of mass
- Molecules move chaotically
Interactions between particles
[edit | edit source]- Gravitational (considerable among large objects, almost inconspicuous on molecule level)
- Weak
- Strong (considerable only on very short distances, large amount of energy is needed to get such distances)
- Electromagnetic - exactly what we need
Something about how to reduce phenomena of durability and elasticity to Coulomb interactions.
Considerable physical and chemical processes
[edit | edit source]- Electrodynamics
- Phase states (examples)
- Properties of matter and components of compounds
- Chemical reactions
- Phase transitions
- Thermal motion
- Thermal expansion
- Viscosity
- Eradiation
- Polarization and magnetization
- Quantum mechanics
Statistical and Phenomenological Description of Substances
[edit | edit source]- Futility of trying to write a system of equations to every particle
Usage of mean, summary or global characteristics is essential.
- Disadvantages of statistical description due to need of additional sometimes groundless hypotheses
- Cute phenomenological description
Hypothesis of continuity
[edit | edit source]About Space and Time
[edit | edit source]- Metric manifolds
- E.g. 3-dimensional Euclidean space
- We will not use pseudo Euclidean spaces
- Absolute time
- Newton mechanics
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