Chandra, YennyZhou, YangStanciulescu, IlincaEason, ThomasSpottswood, Stephen2015-06-152015-06-152015Chandra, Yenny, Zhou, Yang, Stanciulescu, Ilinca, et al.. "A robust composite time integration scheme for snap-through problems." <i>Computational Mechanics,</i> (2015) Springer: http://dx.doi.org/10.1007/s00466-015-1152-3.https://hdl.handle.net/1911/80759A robust time integration scheme for snap-through buckling of shallow arches is proposed. The algorithm is a composite method that consists of three sub-steps. Numerical damping is introduced to the system by employing an algorithm similar to the backward differentiation formulas method in the last sub-step. Optimal algorithmic parameters are established based on stability criteria and minimization of numerical damping. The proposed method is accurate, numerically stable, and efficient as demonstrated through several examples involving loss of stability, large deformation, large displacements and large rotations.engArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.Journal articletime integrationnonlinear dynamicssnap-throughbackward differentiation formulahttp://dx.doi.org/10.1007/s00466-015-1152-3