Abstract: The boundary value problems involving contact are of the great importance in industries related to mechanical and materials engineering. These mixed problems are challenging since a priori unknown deformed surface of the material contacting a rigid indenter is to be determined as a part of the solution. Anisotropic solids represent an important class of engineering materials including...

Procedure to establish full contact between the sample and the 1 mm diameter cylindrical flat punch tip to measure polydimethylsiloxane (PDMS) mechanical properties using the Hysitron TriboIndenter is described. This procedure differs from the standard automated indentation because each indent has to be performed manually after establishing full contact with the sample surface. Incomplete conta...

The primary goal of cartilage tissue engineering is to recapitulate the functional properties and structural features of native articular cartilage. While there has been some success in generating near-native compressive properties, the tensile properties of cell-seeded constructs remain poor, and key features of cartilage, including inhomogeneity and anisotropy, are generally absent in these e...

In this article, the existing nonsmooth generalized- ? method for simulation of mechanical systems with frictionless contacts, modeled as unilateral constraints, is extended to frictional contacts. On that account, we complement constraints set-valued Coulomb-type friction laws. Moreover, devise a set benchmark systems, which can be used validate numerical schemes Finally, benchmarks numericall...

We describe a wink-controlled hands-free switching system for eye-borne telescopic vision, based on a previously tested fixed-magnification telescope embedded within scleral contact lenses. Here we integrate orthogonal polarizers into the contact lens covering the F/9.1 refractive 1× and F/9.6 catadioptric 2.8× vision paths, to allow switching via external liquid crystal shutters. We provide ha...

The relative sliding motion of two elastic bodies in contact induces wear process and contact shape evolution. The transient process tends to a steady state occuring at fixed contact stress and strain distribution. This state corresponds to the minimum of the wear dissipation power. The optimality conditions of the functional provide the contact stress distribution and the wear rate compatible ...

We evaluate Vickers hardness and true instrumented indentation test (IIT) hardness of 24 metals over a wide range of mechanical properties using just IIT parameters by taking into account the real contact morphology beneath the Vickers indenter. Correlating the conventional Vickers hardness, indentation contact morphology, and IIT parameters for the 24 metals reveals relationships between conta...

Dynamic contact problems in elasticity are dealt with in the framework of nonlinear finite element methods. To this end, the mortar method is applied to take into account the constraint of impenetrability. A new energy-momentum conserving time-stepping scheme for the mortar contact formulation is presented. The proposed method relies on a reparametrization of the contact constraints in terms of...