An assessment of limit loads of cracked structures using eXtended IsoGeometric Analysis

Loc V. Tran, V. P. Nguyen, L. V. Hai, Tran Minh Thi, Hung Nguyen-Xuan

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review


A novel numerical procedure using eXtended IsoGeometric Analysis (XIGA) in combination with second-order cone programming (SOCP) is applied to assess the limit loads of the cracked structures. Isogeometric analysis (IGA) utilizing the non-uniform rational B-spline functions from Computer Aided Design (CAD) tools is incorporated with enrichment functions through the partition of unity method (PUM) in order to model the discontinuous phenomenon in the cracked structures. The obtained optimization formulation is then transformed into the form of a SOCP problem so that it can be solved by highly efficient interior-point solvers. Two numerical examples are provided to show excellent performance of the present method compared with other published solutions in the literature.

Original languageEnglish
Title of host publicationProceedings of the 13th East Asia-Pacific Conference on Structural Engineering and Construction, EASEC 2013
PublisherHokkaido University collection of Scholarly Academic Papers, HUSCAP
Number of pages9
Publication statusPublished - 2013
Externally publishedYes
EventEast Asia-Pacific Conference on Structural Engineering and Construction 2013 - Sapporo, Japan
Duration: 11 Sept 201313 Sept 2013
Conference number: 13th


ConferenceEast Asia-Pacific Conference on Structural Engineering and Construction 2013
Abbreviated titleEASEC 2013


  • Cracked structure
  • Isogeometric analysis (IGA)
  • Limit analysis
  • SOCP

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