Yes, this is common, especially on devices with lithium polymer type batteries. If you are competent with basic disassembly of electronics, you will be able to open the headphones and see the battery (only attempt this if your warranty has expired, otherwise make a claim).
Usually they put the part/model number where you can't easily see. If you Google the part number you will find a replacement from eBay or Aliexpress for only a few dollars - but be prepared, shipping is slow.