Sequentially Linear Analysis (SLA) is an alternative method that avoids convergence problems derived from the use of classic nonlinear finite element analysis (NLFEA). Instead of using incremental iterative schemes (arc-length control, Newton-Raphson), SLA is a sequential procedure made by a series of linear analysis, able to capture nonlinear behavior, reducing Young Modulus, according to saw-tooth constitutive relation. In this paper an investigation on the aspects of the methods is presented using a new element suitable for the SLA: accuracy of the solutions and computational cost, i.e. the time needed to get to satisfactory conclusions of the analysis. In order to test the efficiency of the proposed element, numerical results hailed from different brittle problems, such as glass beam and an ideal masonry tower, are used.

Giovanni Castellazzi, Cristina Gentilini, Susanna Casacci, Angelo Di Tommaso, Mathias J. Monaldi (2015). An enhanced finite element for Sequentially Linear Analysis problems. Pfaffikon : Trans Tech Publications Ltd [10.4028/www.scientific.net/KEM.624.43].

An enhanced finite element for Sequentially Linear Analysis problems

CASTELLAZZI, GIOVANNI;GENTILINI, CRISTINA;CASACCI, SUSANNA;DI TOMMASO, ANGELO;
2015

Abstract

Sequentially Linear Analysis (SLA) is an alternative method that avoids convergence problems derived from the use of classic nonlinear finite element analysis (NLFEA). Instead of using incremental iterative schemes (arc-length control, Newton-Raphson), SLA is a sequential procedure made by a series of linear analysis, able to capture nonlinear behavior, reducing Young Modulus, according to saw-tooth constitutive relation. In this paper an investigation on the aspects of the methods is presented using a new element suitable for the SLA: accuracy of the solutions and computational cost, i.e. the time needed to get to satisfactory conclusions of the analysis. In order to test the efficiency of the proposed element, numerical results hailed from different brittle problems, such as glass beam and an ideal masonry tower, are used.
2015
Mechanics of Masonry Structures Strengthened with Composite Materials
43
50
Giovanni Castellazzi, Cristina Gentilini, Susanna Casacci, Angelo Di Tommaso, Mathias J. Monaldi (2015). An enhanced finite element for Sequentially Linear Analysis problems. Pfaffikon : Trans Tech Publications Ltd [10.4028/www.scientific.net/KEM.624.43].
Giovanni Castellazzi; Cristina Gentilini; Susanna Casacci; Angelo Di Tommaso; Mathias J. Monaldi
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/475767
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