Print Email Facebook Twitter From sequentially linear analysis to incremental sequentially linear analysis Title From sequentially linear analysis to incremental sequentially linear analysis: Robust algorithms for solving the non-linear equations of structures of quasi-brittle materials Author Yu, C. (TU Delft Applied Mechanics) Contributor Rots, J.G. (promotor) Hoogenboom, P.C.J. (copromotor) Degree granting institution Delft University of Technology Date 2019-05-03 Abstract It is difficult to accurately predict the strength of masonry and concrete structures. The most widely used method for simulating their behaviour is finite element analysis with the Newton-Raphson method and arch length control. However, the Newton-Raphson method can diverge and not produce a result, for example in bifurcations or during snap-back. In order to enhance the robustness of solving non-linear problems, a new method – called incremental sequentially linear analysis (ISLA) – is proposed. The method is based on a combination of the Newton-Raphson method and a total approach called sequentially linear analysis.In ISLA, local damage is induced by reducing the material secant stiffness of the element that fails a unity check. The load is applied in force increments or displacement increments, which are adjusted to trace the complete structural response. It has been showed that ISLA can handle non-proportional loading, geometrically non-linear analysis and transient analysis. The robustness of ISLA has been demonstrated in four examples: a concrete beam with both prestress and vertical load; out-of-plane bending of a masonry wall with overburden; a differential settlement test on a pre-loaded masonry façade and a 3D pushover analysis of a masonry house. Subject Structural mechanicsComputational mechanicsFracture mechanicsQuasi-brittle materialsIncrementalSaw tooth modelSequentially linear analysis (SLA)Smeared crack modelDamage modelStrong discontinuityNewton-Raphson (N-R) methodPiecewise, IterativeImplicitExplicitMasonryConcrete To reference this document use: https://doi.org/10.4233/uuid:b20beffc-f69f-4723-9c91-77da79861f62 ISBN 978-94-028-1476-7 Part of collection Institutional Repository Document type doctoral thesis Rights © 2019 C. Yu Files PDF dissertation_Chenjie_Yu_f ... ersion.pdf 54.9 MB Close viewer /islandora/object/uuid:b20beffc-f69f-4723-9c91-77da79861f62/datastream/OBJ/view