On creep deformation at plane contact problems

Cone indentation of time-dependent materials: The effects of the indentation strain rate

“…Hill (1992) extended his results from elastoplastic materials to power law creep solids by a similarity analysis. Larsson (1997) gave a solution for the indentation of these solids using finite elements simulations. An interesting result was given by Cheng and Cheng (2004) with dimensional analysis.…”

Foundations of cable car towers upon alpine glaciers

“…3,30] with m = 0.5 yields a = 14.5 9 10 -2 in the investigated range 0.1 \ b \ 2 m. In geotechnical engineering, it is common to multiply the settlement under a distributed load with a factor of 3/4 to account roughly for the settlement reduction due to the rigidity of the raft [14]. If we apply the same factor here, we get a = 10.9 9 10 -2 , which is only slightly higher than the results of [18].…”

“…The indentation rate _ u of a rigid indenter of the width b into ice with an exponent n = 3 can be written as [18,29,34] …”

“…For a rigid raft, the coefficient a can be calculated for plane strain conditions from [29] as a = 5.0 9 10 -2 , and from more recent work with fewer approximations [18] as a = 6.7 9 10 -2 . Horizontal forces have only a little effect on the vertical indentation rate [17] and can therefore be neglected.…”

“…7 was used with the two term polynomial flow law (12) and the parameters of Nixon and McRoberts (third row in Table 1) in three-dimensional expansion (18) to calculate the settlement rate of strip foundations on temperate glacier ice, see circles in Fig. 9.…”