This paper presents a Service-Oriented Process Model (SOM) to build a web-services based process management system, called MIDAS that would support distributed Design and Manufacturing process. SOM uses OWL specification, and describes the semantics of the design process with an underlying mathematical mode, Process Grammar, which supports dynamic process creation and enactment. The rich semantics provided by SOM offers a unique functionality of web service-based process composition and iterative process enactment that may be used for any design and manufacturing process, and hence makes it appropriate for usage in scenarios involving distributed and collaborative design and manufacturing process. The use of OWL and Process Grammar makes SOM very suitable for coordination of processes in loosely coupled collaborative environment. We also introduce a framework, MIDAS, which is built upon SOM. Through semantics of SOM, the framework provides facilities for business/technological entitie...