bool FunctionA (const ObjectA& a)
{
    ... some code ...
    static const ObcjectB& b = getObjectBFromSomewhere(...);
    ... code heavily reliant on b ...
    return boolean_val;
}

bool FunctionB (const ObjectA& a)
{
    bool b = FunctionA(a);

    ... some code ...
    static const ObcjectB& b = getObjectBFromSomewhere(...);
    ... more code
    return b;
}