1st in the US using the term "fuse" when you mean "breaker" would confuse many non technical types that think of old school screw in fuses from the early 1900s. You might want to avoid the use of the word "fuse" unless you qualify it with some other technical term or are actually talking about old school screw in fuses for home electrical panel.
as to a breaker tripping at 20A when it's rated for 20A see:
https://www.industry.usa.siemens.com/services/us/en/industry-services/training/self-study-courses/quick-step-courses/Documents/circuit_breakers.pdf
Time-Current Curves are used to show how long at what power level it'll take for a breaker to trip. Take a look at some of these curves and they approach 1 and have an error band that crosses 1. Thus it is entirely possible a mass manufactured breaker will trip at its rating if the load is constant and continues past 2 or 3 hours at the specified temperature. Should the temperature go higher the device may trip at lower power levels than rated.
Keep in mind that this trip curve was developed based upon predefined specifications, such as operation at a 40°C ambient temperature. Variations in actual operating conditions will result in variations in circuit breaker performance.
Take http://static.schneider-electric.us/docs/Circuit%20Protection/Molded%20Case%20Circuit%20Breakers/0100-400%20A%20Frame%20FA-LA/FA-FC-FH/0600DB0105.pdf for example, the bottom of the error band crosses 1.0 rating at 600 seconds (10 minutes). Not hard to have a continuous load last more than 10 minutes.