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Moving least‐square interpolants in the hybrid particle method

The hybrid particle method (HPM) is a particle‐based method for the solution of high‐speed dynamic structural problems. In the current formulation of the HPM, a moving least‐squares (MLS) interpolant is used to compute the derivatives of stress and velocity components. Compared with the use of the MLS interpolant at interior particles, the boundary particles require two additional treatments in order to compute the derivatives accurately. These are the rotation of the local co‐ordinate system and the imposition of boundary constraints, respectively.