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**A continuous – discontinuous approach to simulate physical degradation processes in porous media.**
*(English)*
Zbl 1202.74158

Summary: A macroscopic framework for the simulation of physical degradation processes in quasi-brittle porous materials is proposed. The framework employs the partition of unity (PU) concept and introduces a cohesive zone model, capturing the entire failure process starting from the growth and coalescence of micro-defects until the formation of macro-cracks. The framework incorporates the interaction between the failure process and the heat and mass transfer in the porous medium. As an example, physical degradation of an outside render is studied. The analysis illustrates that both material and interface failure can be investigated with this formulation. Depending on the boundary conditions, either one dominant crack or a network of small cracks is formed.

### MSC:

74R99 | Fracture and damage |

74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |

74F05 | Thermal effects in solid mechanics |

80A20 | Heat and mass transfer, heat flow (MSC2010) |

### Keywords:

failure; damage; fracture; cohesive zone model; PU; X-FEM; heat transfer; mass transfer; multi-physics; continuous; discontinuous framework### Software:

TOUGH
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\textit{P. Moonen} et al., Int. J. Numer. Methods Eng. 84, No. 9, 1009--1037 (2010; Zbl 1202.74158)

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