Cracking of plates with randomly distributed holes by a maximum entropy method

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

Abstract

It has recently been shown that fracture response of nominally identical elastic-brittle (epoxy) as well as ductile (aluminum) sheets, each containing randomly distributed circular holes, is non-unique. This non-uniqueness pertains, in particular, to the resulting fracture patterns and effective stress-strain curves, whereby both of these characteristics display considerable scatter. This result points to the significant influence which microscale random noise in material parameters may have on the global, macroscopic behavior. In this paper we formulate, on the basis of a maximum entropy method, a stochastic fracture mechanics model for this class of problems. The method is based on the statistics of experimental data, obtained for a number of specimens, involving the inter-hole crack lengths and their angles. It allows prediction of probability distributions of damage responses and patterns of Gibbs ensembles of random hole systems such as, for example, porous materials with millions of voids.

Original languageEnglish (US)
Title of host publicationMechanical Behavior of Advanced Materials
EditorsE. Sancaktar
PublisherASME
Pages287-288
Number of pages2
Volume84
StatePublished - 1998
Externally publishedYes
EventProceedings of the 1998 ASME International Mechanical Engineering Congress and Exposition - Anaheim, CA, USA
Duration: Nov 15 1998Nov 20 1998

Other

OtherProceedings of the 1998 ASME International Mechanical Engineering Congress and Exposition
CityAnaheim, CA, USA
Period11/15/9811/20/98

Fingerprint

Maximum entropy methods
Aluminum sheet
Stress-strain curves
Fracture mechanics
Probability distributions
Porous materials
Statistics
Cracks

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Starzewski, M. O., Al-Ostaz, A., & Jasiuk, I. M. (1998). Cracking of plates with randomly distributed holes by a maximum entropy method. In E. Sancaktar (Ed.), Mechanical Behavior of Advanced Materials (Vol. 84, pp. 287-288). ASME.

Cracking of plates with randomly distributed holes by a maximum entropy method. / Starzewski, Martin Ostoja; Al-Ostaz, Ahmed; Jasiuk, Iwona M.

Mechanical Behavior of Advanced Materials. ed. / E. Sancaktar. Vol. 84 ASME, 1998. p. 287-288.

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

Starzewski, MO, Al-Ostaz, A & Jasiuk, IM 1998, Cracking of plates with randomly distributed holes by a maximum entropy method. in E Sancaktar (ed.), Mechanical Behavior of Advanced Materials. vol. 84, ASME, pp. 287-288, Proceedings of the 1998 ASME International Mechanical Engineering Congress and Exposition, Anaheim, CA, USA, 11/15/98.
Starzewski MO, Al-Ostaz A, Jasiuk IM. Cracking of plates with randomly distributed holes by a maximum entropy method. In Sancaktar E, editor, Mechanical Behavior of Advanced Materials. Vol. 84. ASME. 1998. p. 287-288
Starzewski, Martin Ostoja ; Al-Ostaz, Ahmed ; Jasiuk, Iwona M. / Cracking of plates with randomly distributed holes by a maximum entropy method. Mechanical Behavior of Advanced Materials. editor / E. Sancaktar. Vol. 84 ASME, 1998. pp. 287-288
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