To the married I give this command (not I, but the Lord): A wife must not separate from her husband. But if she does, she must remain unmarried or else be reconciled to her husband. And a husband must not divorce his wife. (1 Corinthians 7:10, 11 NIV)
Although the biblical teaching is generally against divorce, there seems to be a couple of occasions where separation is allowed by concession and not by command. First, if a person is married to an unbeliever, and they insist on "leaving", the Bible permits the believing spouse to consent (1 Corinthians 7:15). But the understanding is that the now single believing spouse will remain unmarried and not remarry.
The other concession is in the verses above, where a wife "separates" from her husband. Since she is said to be "unmarried" after separating, divorce is in view. Whatever prompted the divorce, she is then commanded to stay unmarried or else be reconciled to her husband, provided that the husband has not himself remarried.
While the matter of abuse is not specifically mentioned, I can see here room to include it. However, the woman should understand that this is not permission to remarry. Her divorce does not nullify her first covenant with her husband. To remarry with someone else would violate this covenant and be considered as adultery before God (Mark 10:11-12).
Therefore, while it seems there are grounds for divorce, there is no ground for remarriage, except on the death of a spouse (1 Corinthians 7:39), although even then Paul counsels against it (1 Corinthians 7:40).