Variationally consistent mass scaling for explicit time-integration schemes of lower- and higher-order finite element methods

In this paper, we propose a variationally consistent technique for decreasing the maximum eigenfrequencies of structural dynamics related finite element formulations. Our approach is based on adding symmetric positive-definite term to mass matrix that follows from integral traction jump across boundaries. The added weighted by small factor, which derive suitable, and simple, element-local parameter choice. For linear problems, show our mass-scaling method produces no adverse effects in terms spatial accuracy orders convergence. We illustrate these properties one, two three dimension, quadrilateral elements triangular elements, up fourth order polynomials basis functions. To extend non-linear introduce approximation sizeable increase critical time-step size can be achieved while only causing minor (even beneficial) influences dynamic response.