A non-enzymatic debridement agent that is less expensive, less cytotoxic, and more effective than enzymatic and sharp surgical debridement of eschar material. The non-enzymatic debridement agent is based on a formulation of detergent (10) with a high critical micelle concentration and a denaturing agent (12) along with an optimized buffer that dissolves eschar material in under one week. The buffer or ointment may contain an optimized pH, salt concentration, reducing agent, and other components that aid in the debridement of eschar material from chronic wounds and burn wounds. The non-enzymatic debridement agent can be formulated as an ointment, liquid rinse under pressure, and/or as a combination product with an advanced wound dressing that can act as a sink to remove the solubilized eschar material from the surface of the wound to assist in the debridment and proper healing of wounds.