If you have no joint accounts or joint assets, then your wife's bankruptcy will not affect you at all. However, unless you are living apart and are legally separated, in a situation where only one spouse files, the income and expenses of the non-filing spouse is required so that the court, the trustee and creditors can evaluate the household's income. This, however, in no way obligates you, either legally or financially.
Obviously, to the extent you have joint accounts, you will be affected. The same holds true for any joint assets not exempted by law.