Am I understanding that you are repairing torn battery casing with electrical tape?
If so,
STOP !!
A battery with torn or otherwise damaged insulation (the skin or casing) is a catastrophic event waiting to happen. This could result in a battery going thermal, venting toxic hot gasses and possibly burning you or causing a fire.
The batteries used in APV's are extremely powerful considering their size and nothing to play around with. Always inspect batteries routinely for defects, and invest in a voltmeter ($15) to check voltages after coming off the charger and after being spent in the APV.
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If it's just a plastic label then I don't agree. If anything has happened to the metal casing itself then I agree 100% with Baditude. There are 3 things that cause catastrophic runaway thermal reactions to lithium ion batteries. 1: physical damage. 2: Heat, lots and lots of heat - aka fire can cause it, obviously, or charging the battery in high temperatures (above 120° Fahrenheit). 3: overcharging the unit once the battery's voltage protection circuit has failed (no way of telling until it happens). Always attend the batteries while they charge and do use a Li-Po fireproof charging bag whenever possible. Here's a link to one for $2+shipping:
Lithium Polymer Charge Pack 18x22cm Sack
Anyone who tells you otherwise needs to do more research. BTW: the average lithium ion battery is good for 300 full discharges and 300 full recharges. At that point, regardless of brand, ALL lithium ion batteries lost 30% of their capacity permanently. It is at this time that all sensible vendors recommend that you replace the battery, not only for optimum performance, but also to be safe in case the protection circuit fails. Partial discharges and partial subsequent chargings can number in the thousands before this loss in capacity, but it is very important that you do the research. On average a lithium ion or lithium polymer (for those KGO VV users out there) battery is good for 10 months if you charge it every day; 1 year, 8 months if you charge it every other day, and so on.
That said, all lithium ion batteries, once they fall below 2.2v (IIRC) will go into a sleep mode and will not recharge. It is possible to "wake" them, but I cannot recommend it to anyone less than a professional in such matters. Should you wait until they hit 0v (due to natural discharge via the energy drain of the protection circuit) they will allow themselves to recharge again. Recharging them after this happens will guarantee a runaway thermal reaction since the protection circuit will die in this event. Lithium Ion batteries, as a result of this fact, should be stored ideally with a 70% charge and recharged at LEAST every few months. When you store batteries at 100% charge it is very bad for their lifespan - though they do quickly self-discharge within several months). That is to say, keeping them fully charged for months or even years is very detrimental to their longevity.
NEVER overcharge your batteries (average charge time is 2-3 hours) and NEVER charge them while unattended, ESPECIALLY when you are asleep. It's very rare that a battery vents, but it does happen, and your life should be important enough to you not to roll dice and take chances.
If you'd like to learn more about batteries, or vaping in general please click on the link in my signature to the Vaper's Handbook. Do yourself a favor and absorb 8+ months and countless hours of research in a very short time, for free. You can also learn more specifics about the different battery types, as I did, at:
http://www.batteryuniversity.com