Some effects of compressibility on the indentation of a thin elastic layer by a smooth rigid cylinder

Feeding in rolling contact of layered printing cylinders

“…According to Miller, this was due to differences in compressibility between cover materials. Indeed, this was later confirmed to some extent by Miller [11], whose numerical analysis showed that tangential surface strain at the contact area depends on the cover compressibility. Highly compressible material exhibited compressive straining, while incompressible material showed extensional straining.…”

“…The solution of the problem is then reduced to finding coefficients of the cosine series. Hannah's solution technique has thereafter been utilized and developed by Parish [9] and Miller [10,11]. The frictional problem has been addressed in detail in a study by Bentall and Johnson [14].…”

How to efficiently apply soft thin coating to existing Finite Element contact model

“…However, if ν is close to 0.5 linear approximation is not sufficient, especially around the contact edges (x = ±a) where significant "pile-up" effect occurs (refer to figure 5). Importance of the effect was first shown by Miller [27]. This is of particular interest as the asymptotic value for the maximum penetration, given by Meijers [2] and Alblas [3] for near incompressible materials can still be approximated with a low order polynomial basis [4].…”

An extension of the Hertz theory for 2D coated components

“…The material properties of the coating and the substrate are identified with subscript 'c' and 's', respectively. A special case with a rigid substrate (figure 1(d)) was investigated extensively with various mathematical techniques in literature, for example, by Hannah [6], Miller [7], Alblas and Kuipers [8], Hahn and Levinson [9], Gwo and Lardner [10], Aleksandrov [11][12], Meijers [13], among many others. Hannah [6] assumed that pressure distribution is a summation of a cosine series in addition to the Hertzian distribution.…”