(a) A divorce may be ordered for abuse or neglect of a child of the parties or of one of the parties, "abuse" meaning any physical or mental injury inflicted on such child including, but not limited to, sexual molestation; and "neglect" is willful failure to provide, by a party who has legal responsibility for such child, the necessary support, education as required by law, or medical, surgical or other care necessary for the well-being of such child.

(b) A divorce shall not be granted on this ground except upon clear and convincing evidence sufficient to justify permanently depriving the offending party of any allocation of custodial responsibility for the abused or neglected child.