Cohesive crack model with rate-dependent opening and viscoelasticity: II. Numerical algorithm, behavior and size effect

Yuan Neng Li*, Zdeněk P. Bažant

*Corresponding author for this work

Research output: Contribution to journalArticle

42 Scopus citations

Abstract

In the preceding companion paper (Bažant and Li, 1997), the solution of an aging viscoelastic structure containing a cohesive crack with a rate-dependent stress-displacement softening law was reduced to a system of one-dimensional integro-differential equations involving compliance functions for points on the crack faces and the load point. An effective numerical algorithm for solving these equations, which dramatically reduces the computer time compared to the general two-dimensional finite element solution, is presented. The behavior of the model for various loading conditions is studied. It is shown that the model can closely reproduce the available experimental data from fracture tests with different loading rates spanning several orders of magnitude, and tests with sudden changes of the loading rate. Influence of the loading rate on the size effect and brittleness is also analyzed and is shown to agree with experiments.

Original languageEnglish (US)
Pages (from-to)267-288
Number of pages22
JournalInternational Journal of Fracture
Volume86
Issue number3
DOIs
StatePublished - Jan 1 1997

Keywords

  • Analysis of test data
  • Cohesive fracture
  • Concrete
  • Creep
  • Integro-differential equations in space and time
  • Numerical algorithm
  • Quasibrittle materials
  • Rate-effect
  • Scaling
  • Size effect
  • Viscoelasticity

ASJC Scopus subject areas

  • Computational Mechanics
  • Modeling and Simulation
  • Mechanics of Materials

Fingerprint Dive into the research topics of 'Cohesive crack model with rate-dependent opening and viscoelasticity: II. Numerical algorithm, behavior and size effect'. Together they form a unique fingerprint.

  • Cite this