### Abstract

The Hybrid Equilibrium Element (HEE) formulation, with quadratic stress field is defined in the class of statically admissible solutions, which implicitly satisfy the homogeneous equilibrium equations. The inter-element equilibrium condition and the boundary equilibrium condition are exactly imposed by considering a quadratic displacement fields at the element sides, as an interfacial Lagrangian variable, in a classical hybrid formulation. The displacement degrees of freedom are independently defined for each element side, where a cohesive-frictional interface can be embedded. The embedded interface is defined by the same stress fields of the hybrid equilibrium element and it does not require any additional degrees of freedom. The cohesive-frictional interface is defined in extrinsic form, as a rigid-damage cohesive zone model (CZM), developed in the consistent thermodynamic framework of damage mechanics with internal variable and produces a bilinear response in a traction separation diagram.

Original language | English |
---|---|

Title of host publication | Lecture Notes in Mechanical Engineering |

Pages | 419-426 |

Number of pages | 8 |

Publication status | Published - 2020 |

### Publication series

Name | LECTURE NOTES IN MECHANICAL ENGINEERING |
---|

### All Science Journal Classification (ASJC) codes

- Automotive Engineering
- Aerospace Engineering
- Mechanical Engineering
- Fluid Flow and Transfer Processes

## Fingerprint Dive into the research topics of 'Cohesive-frictional interface in an equilibrium based finite element formulation'. Together they form a unique fingerprint.

## Cite this

Borino, G., & Parrinello, F. (2020). Cohesive-frictional interface in an equilibrium based finite element formulation. In

*Lecture Notes in Mechanical Engineering*(pp. 419-426). (LECTURE NOTES IN MECHANICAL ENGINEERING).