Weight function based microscopic elements for multiscale A-FEM analyses of composites without hierarchical homogenization

Qingda Yang, Reza Mohammadizadeh, Brian N. Cox

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

Abstract

The progressive failure process in composites involves many types of damage initiating and propagating in a strongly coupled fashion. The various damage modes typically include ply cracking, delamination, fiber rupture (in tension), and kink band formation (in compression), etc. Recent developments in advanced numerical methods such as X-FEM and A-FEM have been able to treat such coupled damage evolutions, provided appropriate crack initiation and propagation criteria are available. Currently strength criteria calibrated from individual damage modes are being used. However, recent multiscale composite simulations and high-resolution material characterizations have shown that the crack initiation is significantly influenced by local material heterogeneity at single fiber scale (∼ 5- 10 microns). The empirical based initiation criteria cannot reflect such reality and needs further improvement. In this paper, we shall seek a method that has the potential to yield high fidelity damage initiation prediction with explicit consideration of local material heterogeneity. The approach employs weight-function method to analyze the microscopic failure with a domain that contains large enough number of randomly distributed fibers. Concentrated local stresses due to local material heterogeneity and cracking are computed through a generic 3-fiber interaction problem with varying local material heterogeneity. The results will then be applied to the entire domain using weight function method. The method needs not to solve the inverse problem with large degree of freedoms. Therefore the microscopic analysis will be very fast and efficient.

Original languageEnglish
Title of host publicationInternational SAMPE Technical Conference
StatePublished - Jul 23 2012
Event2012 SAMPE International Symposium and Exhibition - Emerging Opportunities: Materials and Process Solutions - Baltimore, MD, United States
Duration: May 21 2012May 24 2012

Other

Other2012 SAMPE International Symposium and Exhibition - Emerging Opportunities: Materials and Process Solutions
CountryUnited States
CityBaltimore, MD
Period5/21/125/24/12

Fingerprint

Finite element method
Composite materials
Fibers
Crack initiation
Inverse problems
Delamination
Crack propagation
Numerical methods

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Materials Science(all)

Cite this

Yang, Q., Mohammadizadeh, R., & Cox, B. N. (2012). Weight function based microscopic elements for multiscale A-FEM analyses of composites without hierarchical homogenization. In International SAMPE Technical Conference

Weight function based microscopic elements for multiscale A-FEM analyses of composites without hierarchical homogenization. / Yang, Qingda; Mohammadizadeh, Reza; Cox, Brian N.

International SAMPE Technical Conference. 2012.

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

Yang, Q, Mohammadizadeh, R & Cox, BN 2012, Weight function based microscopic elements for multiscale A-FEM analyses of composites without hierarchical homogenization. in International SAMPE Technical Conference. 2012 SAMPE International Symposium and Exhibition - Emerging Opportunities: Materials and Process Solutions, Baltimore, MD, United States, 5/21/12.
Yang, Qingda ; Mohammadizadeh, Reza ; Cox, Brian N. / Weight function based microscopic elements for multiscale A-FEM analyses of composites without hierarchical homogenization. International SAMPE Technical Conference. 2012.
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