@storyhub there are many reasons why this could be happening. From software shutdowns to thermal events and anything in between. For now, I suggest you use the Windows Event Viewer and check the logs. Here is a good explanation on how to use the event viewer
Once you have a look at it, you can post that on here so we can further help you with that. Adding images to an existing question
In case the system logs etc., do not reveal anything, we will have to consider this a hardware issue. Start by opening your computer and to clean out any dust and debris from all the air inlets. Check and clean the fan as well as reapply thermal past to the heatsink etc. That will ensure that this is not a thermal event. Let us know what you find out.
Use this HP EliteBook 8440p Maintenance And Service Guide to work on your laptop and use the generic guide for the thermal paste How to Apply Thermal Paste
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