A Hot spot of a flexible conductive or electro heating structure is a point where an abnormally hot temperature is noticed compared to the remaing parts of it.
The main risk of an Hot Spot, further to the loss of functionnality of a SMART textile structure, is mainly the risk of ingnition and Fire; This one is often created by the suddent ignition of other synthetics materials in direct or close contact. (by example a defect on a car seat heater... )
example :

Let us come back to simple electrical power rules ! Imagine the following semi resistive yarn: 10Ω/m (Rama) I = U/R I=12/10 = 1,2A P=UI =12*1,2=14,4w
the power released wil be 0,144 Watts , We can calculate the Load ratio : (watts/cm² - power/surface unit) 0,144 / (0,138x π)= 0,33 Watt /cm²
remarq : To simplify as much as possible, we use basic rules; The load ration is depending on the echange surface; in order to have a clear idea in the case of multifilaments yarns, one should calculate the equivalent external exchange surface. It shoud stands somewhere in between the total developped surface and the surface of an equivalent round yarn.
The damaged zone can be assimilated to an equivalent much smaller cross section conductive yarn corresponding to a much finer conductiv yarn , by example of 1/10éme of its surface, but on a very short length : ex: 1mm

In section 1 : P1 = 9,99*(1,19)² = 14,15 Watt or (14,15/99,9)/0,44 = 0,32 Watt/ cm²
In section 2 : P2 = 0,10*(1,19 )² = 0,14 Watt, or (0,14/0,1)/0,44 = 3,19 Watt/ cm²

* Abstact of the Energy conference at the CLUBTEX