Evidence of friction reduction in laterally graded materials

In many biological structures, optimized mechanical properties are obtained through complex structural organization involvingmultiple constituents, functional grading and hierarchical organization. In the case of biological surfaces, the possibility to modifythe frictional and adhesive behaviour can also be achieved by exploiting a grading of the material properties. In this paper, we in-vestigate this possibility by considering the frictional sliding of elastic surfaces in the presence of a spatial variation of the Young’smodulus and the local friction coefficients. Using finite-element simulations and a two-dimensional spring-block model, we investi-gate how graded material properties affect the macroscopic frictional behaviour, in particular, static friction values and the transi-tion from static to dynamic friction. The results suggest that the graded material properties can be exploited to reduce static frictionwith respect to the corresponding non-graded material and to tune it to desired values, opening possibilities for the design of bio-inspired surfaces with tailor-made tribological properties