Isogeometric static analysis of gradient-elastic plane strain/stress problems

Sergei Khakalo*, Viacheslav Balobanov, Jarkko Niiranen

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterScientificpeer-review

5 Citations (Scopus)


In the present contribution, isogeometric methods are used to analyze the statics of the plane strain and plane stress problems based on the theory of strain gradient elasticity. The adopted strain gradient elasticity models, in particular, include only one length scale parameter enriching the classical strain energy expression and resulting in fourth order partial differential equations instead of the corresponding second order ones based on the classical elasticity. The problems are discretized by an isogeometric NURBS based C1C1 continuous Galerkin method which is implemented as a user subroutine into a commercial software Abaqus. Computational results for benchmark problems, a square plate in tension and a Lamé problem, demonstrate the applicability of the method and verify the implementation.

Original languageEnglish
Title of host publicationGeneralized continua as models for classical and advanced materials
EditorsHolm Altenbach, Samuel Forest
Number of pages7
ISBN (Electronic)978-3-319-31721-2
ISBN (Print)978-3-319-31719-9
Publication statusPublished - 1 Apr 2016
MoE publication typeA3 Book section, Chapters in research books

Publication series

NameAdvanced Structured Materials
ISSN (Print)1869-8433
ISSN (Electronic)1869-8441


  • Isogeometric method
  • Lamé problem
  • Plane stress/strain problem
  • Strain gradient elasticity


Dive into the research topics of 'Isogeometric static analysis of gradient-elastic plane strain/stress problems'. Together they form a unique fingerprint.

Cite this