A method, system and computer program product pertained to engineering analysis of a general three-dimensional (3-D) shell structure using the mesh-free technique is disclosed. The structural responses are solved with mesh-free technique after the 3-D shell structure is mapped to a two-dimensional plane. According to one aspect, the present invention is a method for mesh-free analysis of a general three-dimensional shell structure, the method comprises: defining the general shell structure as a physical domain represented by a plurality of nodes in a three-dimensional space, creating a plurality of projected nodes by mapping the plurality of nodes in the three-dimensional space onto a two-dimensional plane, assigning a plurality of domain of influences, one for each of the plurality of projected nodes, and calculating a solution of the physical domain using a set of mathematical approximations pertaining to each of the plurality of projected nodes.