Non-proportional loading for 3-D stress situations in Sequentially Linear Analysis

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3 Citations (Scopus)

Abstract

This article presents a new non-proportional loading strategy for Sequentially Linear Analysis (SLA), which is a robust secant stiffness based procedure for nonlinear finite element analysis of quasi-brittle materials, like concrete and masonry. The strategy is based on finding the principal planes for a total strain based fixed cracking model, by searching for the critical plane where the normal stresses due to the scaled combination of two non-proportional loads is equal to the allowable strength. For a plane stress situation (2D), the scaling factor λ is ex-pressed as a function of θ, the inclination of an arbitrary plane to the reference coordinate system, and a one dimensional (θ) optimization of λ is done to determine the principal plane and the resulting fixed crack coordinate system. This approach has been illustrated to match up to the closed form solution, obtained previously based on the principal stress theory, using single element tests and a quasi-static test pushover test on a masonry shear wall. Finally, the concept for the 3-D stress situation is presented, where the optimization problem becomes two-dimensional, with respect to l and m (two-directional cosines).
Original languageEnglish
Title of host publicationComputational Modelling of Concrete Structures
Subtitle of host publicationProceedings of the Conference on Computational Modelling of Concrete and Concrete Structures
EditorsGünther Meschke, Bernhard Pichler, Jan G. Rots
PublisherCRC Press
Pages931-940
ISBN (Electronic)978-1-315-18296-4
ISBN (Print)978-1-13-874117-1
Publication statusPublished - 28 Feb 2018
EventConference on Computational Modelling of Concrete and Concrete Structures - Bad Hofgastein, Austria, Bad Hofgastein, Austria
Duration: 26 Feb 20181 Mar 2018
http://208.254.74.112/books/details/9781138741171/

Conference

ConferenceConference on Computational Modelling of Concrete and Concrete Structures
Abbreviated titleEURO-C 2018
CountryAustria
CityBad Hofgastein
Period26/02/181/03/18
Internet address

Keywords

  • Adobe
  • Delta
  • Damage
  • Isotropic
  • Static

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