Abstract
A thermodynamically consistent formulation to model anisotropic damage for quasi-brittle materials is proposed. The model is based on proper expressions for the specific Gibbs free energy and the complementary form of the dissipation potential. Damaging of the material is described by a symmetric positive definite second order damage tensor. Especially, the failure surface is formulated in such a way that it will mimic the behaviour of the well known Ottosen's four parameter failure surface. While testing the model against the experimental results found in literature, the results were in good agreement in uniaxial tensile and compressive loadings as well as in biaxial compression. Besides the correct failure stress states, the model predicts the correct failure modes of concrete: axial splitting along the direction of uniaxial compression and tensile damaging normal to the direction of tension.
| Original language | English |
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| Article number | 111048 |
| Number of pages | 13 |
| Journal | International Journal of Solids and Structures |
| Volume | 225 |
| Early online date | 28 Apr 2021 |
| DOIs | |
| Publication status | Published - 15 Aug 2021 |
| MoE publication type | A1 Journal article-refereed |
Funding
This work was partially funded by the CONFIT project which belongs into SAFIR2022, The Finnish Research Programme on Nuclear Power Plant Safety 2019–2022. Main funding organisations of SAFIR2022 are the Finnish State Nuclear Waste Management Fund (VYR) and VTT Technical Research Center of Finland Ltd. Jani Vilppo wants also to thank the Auramo-foundation and the Concrete Association of Finland (BY) for financial support.
Keywords
- Anisotropic damage
- Axial splitting
- Concrete
- Constitutive equations
- Dissipation potential
- Elastic-brittle material
- Failure modes
- Ottosen's 4-parameter criterion
- The specific Gibbs free energy