screen damage withoutphycial trauma

It sounds like it is time to reach out to Apple Support and see if they can help you sort out your issue.

Have all your purchase information ready to discuss, and please be patient. If you do not get satisfaction with the first person you speak with, you should politely ask to speak to that person's supervisor. You may have to do this a few times to escalate the issue.

Get Support – Apple

https://getsupport.apple.com/

Call Customer Support (800) MY–APPLE (800–692–7753)

or online https://getsupport.apple.com/

or call AppleCare Support at 1-800-APLCARE (800-275-2273)

Outside the USA—Contact Apple for support and service by phone

See a list of Apple phone numbers around the world.

https://support.apple.com/en-us/HT201232

Best of Luck to you!

navneet_78 Said:

"screen damage withoutphycial trauma: [...]They are assuming it is a case of physical trauma with no evidence to support the same."

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Perform Screensharing:

I think what you need to do is contact Apple Support back. But, this time, show this to them by using the iSight Camera of your iPhone. Hover over the device, and show them exactly what is occurring. You'd enable the speakerphone, showing them what exactly is occurring. That will allow the Apple Rep to see this firsthand, from your perspective. It's much better than just explaining it to them BWOM (by words of mouth). Go Here: Screenshare your iPhone with the Camera App Enabled to Easily Converse Over-the-Phone with Apple Support - Use Tip