Here is Rule 44 from the TDA (Tournament Director's Association) Rules
44: Re-Opening the Bet.
In no-limit and pot limit, an all-in wager of less than a full raise does not reopen betting for a player who has already acted and is not facing at least a full raise when the action returns to him. In limit, at least 50% of a full raise is required to re-open betting for players who have already acted. See Addendum.
http://www.pokertda.com/view-poker-tda-rules/
TDA is a very commonly set of rules for Tournament play
This is from Robert's Rules of Poker
"All raises must be equal to or greater than the size of the previous bet or raise on that betting round, except for an all-in wager. A player who has already checked or called may not subsequently raise an all-in bet that is less than the full size of the last bet or raise. (The half-the-size rule for reopening the betting is for limit poker only.)
Example: Player A bets $100 and Player B raises $100 more, making the total bet $200. If Player C goes all in for less than $300 total (not a full $100 raise), and Player A calls, then Player B has no option to raise again, because he wasn’t fully raised. (Player A could have raised, because Player B raised.) "
http://www.pokercoach.us/robspkrruleshome.htm
This is a commonly used set of rules for cash games