As a starting point.
From Mirriam Webster
Harmonics
1 a: overtone; especially : one whose vibration frequency is an integral multiple of that of the fundamental b: a flutelike tone produced on a stringed instrument by touching a vibrating string at a nodal point
2: a component frequency of a complex wave (as of electromagnetic energy) that is an integral multiple of the fundamental frequency
Resonance
Resonance
1 a: the quality or state of being resonant b (1): a vibration of large amplitude in a mechanical or electrical system caused by a relatively small periodic stimulus of the same or nearly the same period as the natural vibration period of the system (2): the state of adjustment that produces resonance in a mechanical or electrical system
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//*my understanding of the subject matter, please feel free to chime*//
Resonance in it's simplest form is the oscillation a given particle at maximum amplitude for a specific frequency
For any interaction within a given material, the individual grains/particles would have to be vibrated/excited
Some more on particle motion:
Particles will oscillate in a back and forth fashion returning to their original point of equilibrium in a mechanical sinusoidal wave. Without this equilibrium materials could not hold their shape (constant density). (They are held in balance between attractive and repulsive forces)
This is also known as a sine wave or sinusoidal wave. The transfer of energy occurs via vibration of the particles and the subsequent return to equilibrium of the same creating a simple harmonic motion. whereas if the equilibrium is overcome by a large enough vibration/energy spike it will break the balance between attractive and repulsive forces and therefore lose it's constant density, and come apart.
Picture of speaker vibrating back and forth, to much energy, and it will rip apart, the same go's to the crystals resonant frequency, when it reaches it's peak amplitude, and it's specific frequency, it will break due to the mechanical forces exceeding the balance forces of it's equilibrium.
This works better for materials that are more on the brittle side, or are weak to begin with. From a mechanical stand point, It's take one hell of a vibration to tear it apart.
While that energy level is high, it can and has happened to various metal objects.
I don't know exactly what your looking for, but there is a start for you.
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