I would say that superclasses clients are constrained to their restricted domain, and subclasses can extend this domain. All they have to do is preserving the "old behavior" for the old clients in regular (for those old clients) conditions, so that excludes what happens when contract is violated, because contract must not be violated.
For example the old client use superclass Money that prescribe "only positive values" (thus using negatives are not allowed and raise exceptions, but should not be used). The subclass is "negative money, i.e. debt are allowed", so the precondition is weakened (as design by contract suggests), witch is handled by "no exceptions are raised anymore for negatives.
Now the tests meant to check "irregular behavior" for the superclass (precondition violation) will behave differently for subclasses, because this negativity is not a violation anymore in the Subclasses.
So to summarize: contract for superclass: no negatives.
Test that verify the "behavior" in irregular use: create an exception.
contract for subclass: negatives allowed
Test that did verify the "behavior" in irregular use for superclass, should change because there is no exception anymore for using negatives
A consequence seems to be if some client include as "contract" the idea of expecting an exception for irregular use, this client cannot use a subclass in substitutions for the class. I don't know who is wrong in this case (if the client is right, then the "subclassing" we made is wrong).
A conclusion could be that simply respecting the contract is not: manage the exception that is eventually raised for contract violation, but, moreover: know the contract and just don't violate it.
In that case "old clients" (guys that carefully manage only positive money) will continue working good, even with new implementations/subclasses that, incidentally, now accept other "new clients" that knows that some negative amount are now allowed, with a behavior "somehow" compatible with the old one.
However there is some code. http://pastie.org/5650162