For the field of design to become a discipline, it must have the prerequisites of a discipline: principles and a process of solving problems using these principles. This paper presents a case study for axiomatic design, illustrating the process of using the design axioms (i.e., the Independence Axiom and the Information Axiom) in designing an artificial skin. The axioms are used to guide the analysis of a process design for an artificial skin graft. The analysis indicates that the current design does not meet the requirements specified by the axioms and should be redesigned to overcome the difficulties it has experienced in the field. Alternative solutions are generated following a systematic analysis of the design problem, and the best alternative is identified.