A higher-order stress-based gradient-enhanced damage model based on isogeometric analysis

Tran Quoc Thai, Timon Rabczuk, Yuri Bazilevs, Günther Meschke

Research output: Contribution to journalArticlepeer-review

62 Citations (Scopus)


The micro-damage associated with diffuse fracture processes in quasi-brittle materials can be described by continuum damage mechanics. In order to overcome the mesh dependence of local damage formulations, non-local and gradient-enhanced approaches are often employed. In this manuscript, a higher-order stress-based gradient-enhanced formulation is proposed, which exploits the higher-order continuity of B-spline functions in isogeometric analysis (IGA). The proposed formulation does not require the decomposition of the fourth-order model into two second-order models. Two numerical examples are presented to demonstrate the performance of the formulation and to compare the obtained solutions with results from conventional gradient-enhanced damage formulation.

Original languageEnglish
Pages (from-to)584-604
Number of pages21
JournalComputer Methods in Applied Mechanics and Engineering
Publication statusPublished - 2016 Jun 1

Bibliographical note

Publisher Copyright:
© 2016 Elsevier B.V.

Copyright 2017 Elsevier B.V., All rights reserved.


  • Gradient enhanced damage
  • Higher-order functions
  • Isogeometric analysis
  • Stress-level dependent damage model

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • General Physics and Astronomy
  • Computer Science Applications


Dive into the research topics of 'A higher-order stress-based gradient-enhanced damage model based on isogeometric analysis'. Together they form a unique fingerprint.

Cite this