As resources on tap for biomechanical principles, history, technique and more I suggest you to visit AO foundation site. They have lots of shared lessons and PDFs you could browse or download.
You basically need optimum level of relative stability to achieve union for which nails are largely designed.
Axial and rotational stability both are needed in the design.
Rotational stability can be achieved by nail surface characteristics including longitudinal compressible slots, triangular cross section, interlocking screws, Expandable nail design.
Axial stability is largely provided by Interlocking screws through the nail and also provide scope for dynamisation.
Metal characteristics should be close to elastic modulus of bone. Titanium alloys are close to that requirement.
Nail bending strength can be increased by either making the nail solid which makes it more rigid,heavy and difficult to negotiate in the canal across fracture without guide wire.
The other way is to increase the diameter of the nail which allows cannulation for use of guide wire and increased bending strength as well.
Ultimately besides mechanical properties of nail bone quality and fracture anatomy determines the correct application.