A Strong Form Meshfree Collocation Method: Engineering Applications Including Frictional Contact

This article provides the brief review of the recently developed strong form meshfree collocation method. The method directly discretizes a strong form with approximated derivatives from the moving least-squares approximation using the Taylor polynomial of the unknown variable. The approximations of derivatives of any order can be generated in the process of computing the shape function without further cost. The method does not require mesh structure and numerical integration, and adaptivity can be easily achieved by locally refining collocation points. The discretization of the strong form using the derivative approximation is briefly described based on a frictional contact problem. Moreover, recent applications and developments of the method for various engineering problems are briefly presented.