I purchased my SP4 (I5, 8G ram, 256G drive) in February 2016 (over 3 years ago) and just had this problem, screen separating on lower left. I followed the lead of RobertGraban (thanks Robert!) and went to support.microsoft.com/devices and logged in to my Microsoft account. It showed my SP4, which I had registered. I selected it and reported a problem. The resulting page said "This device is out of warranty you will be charged so ...". That made me feel a little nervous but I went on with it and selected "talk to a support agent". That resulted in a dialog that asked for my phone number. I filled it in and within about 20 seconds of submitting that page, I got a call back from a Microsoft agent. She asked some questions, and asked for photos of the problem. While online with the agent, I submitted the photos. She also asked for the serial number of the charger (perhaps that has something to do with the problem?). The agent said the problem has been "elevated" and I'll get an email within 3 days. She could not answer any questions about the problem or about what would be done. The entire process of reporting the problem took no more than 20 minutes. The next morning I had the email saying "Your Service Order Has Been Created", along with instructions. They will send packaging for the SP4 and shipping label. It showed 11-13 business days for estimated delivery time. Now, I can go into my account and see status. Right now it shows "Your package is on its way". It shows a cost of $0. Service Type is showing "In Warranty - Standard Exchange (Swollen Battery)". I'm VERY surprised and pleased the service I got.
Hi guys I'd like to add my recent experience here in case others in the same boat are reading this thread. I did the exact same thing as detailed by LarryGorden above and my experience was 99% similar. The MS customer representative who called back was professional and swift in dealing with the issue with me on the phone. He asked a list of questions concerning my usage pattern while I submitted photos of my defected SP4 and the charger showing the serial number. I was told that the case would be put up to a dedicated team for evaluation. The next day I received an e-mail notifying me that my replacement order is on its way. The whole process took less than 1 week and I am pleased. I'm now waiting for my replacement to come but my account has already showed an extended warranty for 1 year. For those who are treated differently, I suggest you flag the case up as a "safety issue" (which I did) and in that case I do believe Microsoft would have to abide by the above protocol. Perhaps "safety issue" is the magic word. Hope this helps :)
Lucky you. MS employers are not all the same. The one i struck asked me various questions about my lifestyle and then charged me $650 dollars for my safety issue.