Classical methods of material testing become extremely complicated or impossible at micro-
/nanoscale. At the same time, depth-sensing indentation (DSI) can be applied without much …

In many engineering fields surface topography is of crucial importance solving problems of
friction and other problems of tribology. A review of mathematical approaches for description …

A two-dimensional mixed problem for a thin elastic strip resting on a Winkler foundation is
considered within the framework of plane stress setup. The relative stiffness of the …

The coupling problem of a cracked neo-Hookean substrate with initial stress under a rigid
punch is examined in the current work. Fourier series is used to transform the mixed …

Atomic force microscopy (AFM) studies of living biological cells is one of main experimental
tools that enable quantitative measurements of deformation of the cells and extraction of …

Adhesion between rough surfaces is an active field of research where both experimental
studies and theoretical modelling are used. However, it is rather difficult to conduct precise …

The paper deals with elastic wave propagating in a layer on a half-space induced by a
vertical force. The focus is on the effect of a sliding contact along the interface and its …

A first-order asymptotic analysis of the Griffith energy balance in the Johnson–Kendall–
Roberts model of adhesive contact under non-symmetric perturbation of the contact …

Contact mechanics theories are commonly developed using the half-space approximation,
which may raise concerns when dealing with contact region sizes comparable to or even …

Indentation-based mechanical characterization of ultra-thin polymer layers is widely
performed by means of atomic force microscopy (AFM) using both conventional indenters …