The strong formulation finite element method:stability and accuracy

Journal Title: Frattura ed Integrità Strutturale - Year 2014, Vol 8, Issue 29

Abstract

 The Strong Formulation Finite Element Method (SFEM) is a numerical solution technique forsolving arbitrarily shaped structural systems. This method uses a hybrid scheme given by the DifferentialQuadrature Method (DQM) and the Finite Element Method (FEM). The SFEM takes the best from DQM andFEM giving a highly accurate strong formulation based technique with the adaptability of finite elements. Thepresent study investigates the stability and accuracy of SFEM when applied to 1D and 2D structuralcomponents, such as rods, beams, membranes and plates using analytical and semi-analytical well-knownsolutions. The numerical results show that the present approach can be very accurate using a small number ofgrid points and elements, when it is compared to standard FEM.

Authors and Affiliations

Francesco Tornabene, Nicholas Fantuzzi, Michele Bacciocchi

Keywords

Related Articles

L’importanza del “parametro energetico” temperatura per la caratterizzazione dinamica dei materiali 

Le esperienze maturate nel campo dell’analisi termica di materiali utilizzati nelle costruzioni meccaniche [1,2,3] hanno permesso di evidenziare come il rilievo della temperatura (terzo parametro) in prove statiche e din...

 Study of the conditions of fracture at explosive compaction of powders

 Joint theoretical and experimental investigations have allowed to realize an approach with use of mathematical and physical modeling of processes of a shock wave loading of powder materials.In order to gain a bette...

 Local strain energy density to assess the multiaxial fatigue strength of titanium alloys

 The present paper investigates the multiaxial fatigue strength of sharp V-notched components made of titanium grade 5 alloy (Ti-6Al-4V). Axisymmetric notched specimens have been tested under combined tension...

Resistenza a fatica di strutture in leghe di alluminio: normative a confronto e verifica sperimentale 

Le problematiche relative all’utilizzo delle normative nell’ambito della progettazione a fatica di strutture in leghe di alluminio sono state di recente affrontate in numerosi lavori che hanno messo in luce sia le diffic...

Fatigue failure of welded connections at orthotropic bridges 

Orthotropic decks were applied to the long span bridges after World War II due to several advantages, such as light weight, high strength, few deck joints, durability, rapid construction, life-cycle economy. The fatigue...

Download PDF file
  • EP ID EP116079
  • DOI 10.3221/IGF-ESIS.29.22
  • Views 50
  • Downloads 0

How To Cite

Francesco Tornabene, Nicholas Fantuzzi, Michele Bacciocchi (2014).  The strong formulation finite element method:stability and accuracy. Frattura ed Integrità Strutturale, 8(29), 251-265. https://europub.co.uk/articles/-A-116079