I have heard about current and voltage stress in electronic circuits but couldn't find more on it. Also in hardware, how can I measure the current and voltage stress of a circuit? Can it be done using a multimeter?

 

"Voltage stress" sounds like it is not all one thing. Current exists. Voltage exists. Stress exists. But nobody gets out their meter and says, "I'm going to measure the stress." I think you are searching for something that only has meaning in the context where it was first used.

 

I have heard about current and voltage stress in electronic circuits but couldn't find more on it. Also in hardware, how can I measure the current and voltage stress of a circuit? Can it be done using a multimeter?

To me it sounds like the term you are looking for is voltage margining.
http://www.ti.com/lit/an/slva489/slva489.pdf