Abstract
A new efficient algorithm for direct integration of a classs of non-linear dynamic systems is presented. The systems which can be effectively solved by the proposed algorithm stem usually from spatial discretization of problems in non-linear elasticity and some related fields. For this sort of equations the algorithm is proven to be unconditionally stable. The global (accumulated) truncation error is of order Δt2, hence relatively high precision is attained without iteration of integration steps. A series of examples is successfully solved for testing purposes.
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