The in-plane expansion of fractured thermally pre-stressed glass panes: -An equivalent temperature difference model for engineering glass design

Jens H. Nielsen*, Jens Schneider, Michael A. Kraus

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

78 Downloads (Pure)

Abstract

The present paper is concerned with deriving simplified design equations and charts for modelling in-plane expansion of fractured thermally pre-stressed soda-lime-silica glass panes using the method of equivalent temperature differences (ETD) together with a thermal expansion analogy for strains. The starting point is a theoretical method based on linear elastic fracture mechanics merged with approaches from stochastic geometry to predict the 2D-macro-scale fragmentation of glass. The approach is based on two influencing parameters of glass: (i) fragment particle size, δ, and (ii) fracture particle intensity, λ, which are related to the pre-stress induced strain energy density, UD, before fracture. Further Finite Element (FE) analysis of single cylindrical glass particles allow for establishing functional relations of the glass fragment particle dimensions, the pre-stress level and the resulting maximum in-plane deformation. Combining the two parts of two-parameter fracture pattern modelling and FE results on fragment expansion, formulas and engineering design charts for quantifying the in-plane expansion of thermally pre-stressed glass panes due to fracturing via an ETD approach is derived and provided within this paper. Two examples from engineering practice serve as demonstrators on how to use our ETD approach to compute the equivalent temperature difference and resulting internal forces as well as deformations. This approach serves furthermore as a basis to estimate secondary effects (such as fracture-expansion-induced deformations or stresses) on support structures or remaining parts of glass laminates in form of handy ETD load cases within analytical as well as FE analysis.
Original languageEnglish
Article number126849
JournalConstruction and Building Materials
Volume327
Number of pages10
ISSN0950-0618
DOIs
Publication statusPublished - 2022

Keywords

  • Fragmentation
  • Frangibility
  • Tempered glass
  • Fragment size
  • Fracture intensity
  • Elastic strain energy
  • Fracture pattern
  • Equivalent temperature difference
  • Expansion
  • Laminated glass

Fingerprint

Dive into the research topics of 'The in-plane expansion of fractured thermally pre-stressed glass panes: -An equivalent temperature difference model for engineering glass design'. Together they form a unique fingerprint.

Cite this