Großeholz, GeorgGeorgGroßeholzSoares, DelfimDelfimSoaresEstorff, Otto vonOtto vonEstorff2020-11-132020-11-132015-01-28International Journal for Numerical Methods in Engineering 11 (102): 1750-1760 (2015)http://hdl.handle.net/11420/7834In this work, a new, unconditionally stable, time marching procedure for dynamic analyses is presented. The scheme is derived from the standard central difference approximation, with stabilization being provided by a consistent perturbation of the original problem. Because the method only involves constitutive variables that are already available from computations at previous time steps, iterative procedures are not required to establish equilibrium when nonlinear models are focused, allowing more efficient analyses to be obtained. The theoretical properties of the proposed scheme are discussed taking into account standard stability and accuracy analyses, indicating the excellent performance of the new technique. At the end of the contribution, representative nonlinear numerical examples are studied, further illustrating the effectiveness of the new technique. Numerical results obtained by the standard central difference procedure and the implicit constant average acceleration method are also presented along the text for comparison.en0029-598120151117501760WileyCentral differencesConstant average acceleration methodDynamic analysisNonlinear iterationTime marchingUnconditional stabilityTechnikJournal Article10.1002/nme.4869Other