Crack propagation modeling using Peridynamic theory

M. H. Hafezi, R. Alebrahim, Tribikram Kundu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

Crack propagation and branching are modeled using nonlocal peridynamic theory. One major advantage of this nonlocal theory based analysis tool is the unifying approach towards material behavior modeling - irrespective of whether the crack is formed in the material or not. No separate damage law is needed for crack initiation and propagation. This theory overcomes the weaknesses of existing continuum mechanics based numerical tools (e.g. FEM, XFEM etc.) for identifying fracture modes and does not require any simplifying assumptions. Cracks grow autonomously and not necessarily along a prescribed path. However, in some special situations such as in case of ductile fracture, the damage evolution and failure depend on parameters characterizing the local stress state instead of peridynamic damage modeling technique developed for brittle fracture. For brittle fracture modeling the bond is simply broken when the failure criterion is satisfied. This simulation helps us to design more reliable modeling tool for crack propagation and branching in both brittle and ductile materials. Peridynamic analysis has been found to be very demanding computationally, particularly for real-world structures (e.g. vehicles, aircrafts, etc.). It also requires a very expensive visualization process. The goal of this paper is to bring awareness to researchers the impact of this cutting-edge simulation tool for a better understanding of the cracked material response. A computer code has been developed to implement the peridynamic theory based modeling tool for two-dimensional analysis. A good agreement between our predictions and previously published results is observed. Some interesting new results that have not been reported earlier by others are also obtained and presented in this paper. The final objective of this investigation is to increase the mechanics knowledge of self-similar and self-affine cracks.

Original languageEnglish (US)
Title of host publicationHealth Monitoring of Structural and Biological Systems 2016
PublisherSPIE
Volume9805
ISBN (Electronic)9781510600461
DOIs
StatePublished - 2016
EventHealth Monitoring of Structural and Biological Systems 2016 - Las Vegas, United States
Duration: Mar 21 2016Mar 24 2016

Other

OtherHealth Monitoring of Structural and Biological Systems 2016
CountryUnited States
CityLas Vegas
Period3/21/163/24/16

Fingerprint

Crack Propagation
crack propagation
Crack propagation
Brittle Fracture
Crack
Damage
Modeling
cracks
Brittle fracture
Branching
damage
Cracks
Ductile Fracture
Behavior Modeling
Failure Criterion
Self-affine
Crack Initiation
Continuum Mechanics
Dimensional Analysis
Simulation Tool

Keywords

  • crack branching
  • damage
  • Peridynamic theory
  • thin plate

ASJC Scopus subject areas

  • Applied Mathematics
  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Hafezi, M. H., Alebrahim, R., & Kundu, T. (2016). Crack propagation modeling using Peridynamic theory. In Health Monitoring of Structural and Biological Systems 2016 (Vol. 9805). [98050P] SPIE. https://doi.org/10.1117/12.2219487

Crack propagation modeling using Peridynamic theory. / Hafezi, M. H.; Alebrahim, R.; Kundu, Tribikram.

Health Monitoring of Structural and Biological Systems 2016. Vol. 9805 SPIE, 2016. 98050P.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Hafezi, MH, Alebrahim, R & Kundu, T 2016, Crack propagation modeling using Peridynamic theory. in Health Monitoring of Structural and Biological Systems 2016. vol. 9805, 98050P, SPIE, Health Monitoring of Structural and Biological Systems 2016, Las Vegas, United States, 3/21/16. https://doi.org/10.1117/12.2219487
Hafezi MH, Alebrahim R, Kundu T. Crack propagation modeling using Peridynamic theory. In Health Monitoring of Structural and Biological Systems 2016. Vol. 9805. SPIE. 2016. 98050P https://doi.org/10.1117/12.2219487
Hafezi, M. H. ; Alebrahim, R. ; Kundu, Tribikram. / Crack propagation modeling using Peridynamic theory. Health Monitoring of Structural and Biological Systems 2016. Vol. 9805 SPIE, 2016.
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