# A general thermodynamical model for adhesive frictional contacts between viscoelastic or poro-viscoelastic bodies at small strains

## TL;DR

This paper introduces a comprehensive thermodynamical model for adhesive and frictional contacts between viscoelastic or poro-viscoelastic bodies, including a stable numerical scheme and an extension to porous media with diffusant effects.

## Contribution

It presents a unified model for adhesive and frictional contacts in viscoelastic bodies, with a stable, energy-conserving numerical discretization and an extension to porous media with diffusant influence.

## Key findings

- Developed a semi-implicit energy-conserving numerical scheme
- Extended the model to include porous media with diffusant effects
- Demonstrated stability and convergence of the proposed method

## Abstract

A general model covering a large variety of the so-called adhesive or cohesive, possibly also frictional, contact interfaces between visco-elastic bodies with inertia considered in a thermodynamical context is presented. A semi-implicit time discretisation which conserves energy, is numerically stable and convergent, and which advantageously decouples the system is devised. An extension to porous media with adhesive contact influenced by a diffusant concentration is devised, too.