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Effect of strain‐rate dependent yield strength on crater scaling relations
Author(s) -
Gaffney E. S.
Publication year - 1984
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/gl011i002p00121
Subject(s) - impact crater , ejecta , scaling , strain rate , explosive material , radius , geology , yield (engineering) , creep , materials science , astrobiology , geometry , composite material , physics , astrophysics , chemistry , organic chemistry , computer security , computer science , mathematics , supernova
For materials whose strength is controlled by various creep processes, such as ice, the yield strength (Y) is often expressed in a power law relation to the strain rate (ε); Y ⧜ ⋵ 1/n , where n is a constant for some range of ⋵. It has been shown that, for strength‐dominated craters, the crater formation time is proportional to the crater radius R and to . But the strain associated with crater formation is approximately fixed in the strength regime so the strain rate controlling crater formation will vary as . The result of combining these two effects is that, in materials with strain‐rate dependent yield strengths, there will be a small increase in cratering efficiency (mass of ejecta/mass of explosive or impactor) as size increases in the strength‐dominated regime. Explosive cratering data indicate that 1.6