Abstract
Of the various implicit and explicit time integration methods the central difference method and Newmark’s method are the most popular ones to solve Cauchy’s equation of motion in structural solid dynamics. While in their standard forms elastic and viscous linearity are presumed, they are applicable to nonlinear elastic materials with little alterations. However, the case of viscous nonlinearity is rarely investigated, although it demands some algorithmic modifications of the methods in concern. In the context of a finite element spatial discretization we will provide a description of those emended integration schemes and illustrate them exemplarily.
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