# A 2-D Model for friction of complex anisotropic surfaces

## TL;DR

This paper introduces a novel 2-D extension of the spring-block model to simulate and analyze the frictional behavior of complex anisotropic surfaces with features like cavities and pillars, providing insights into how surface design influences friction.

## Contribution

The paper presents the first implementation of a two-dimensional spring-block model for structured surfaces, enabling detailed numerical study of anisotropic frictional properties.

## Key findings

- Friction can be tuned by designing specific surface features.
- The 2-D model captures complex anisotropic frictional behaviors.
- Surface structures like cavities and pillars significantly influence friction.

## Abstract

The friction force observed at macroscale is the result of interactions at various lower length scales that are difficult to model in a combined manner. For this reason, simplified approaches are required, depending on the specific aspect to be investigated. In particular, the dimensionality of the system is often reduced, especially in models designed to provide a qualitative description of frictional properties of elastic materials, e.g. the spring-block model. In this paper, we implement for the first time a two dimensional extension of the spring-block model, applying it to structured surfaces and investigating by means of numerical simulations the frictional behaviour of a surface in the presence of features like cavities, pillars or complex anisotropic structures. We show how friction can be effectively tuned by appropriate design of such surface features.