TY - JOUR
T1 - Anisotropic damage model for concrete and other quasi-brittle materials
AU - Vilppo, Jani
AU - Kouhia, Reijo
AU - Hartikainen, Juha
AU - Kolari, Kari
AU - Fedoroff, Alexis
AU - Calonius, Kim
N1 - Funding Information:
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.
Funding Information:
Jani Vilppo wants also to thank the Auramo-foundation and the Concrete Association of Finland (BY) for financial support.
Publisher Copyright:
© 2021 The Authors
PY - 2021/4/28
Y1 - 2021/4/28
N2 - 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.
AB - 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.
KW - Anisotropic damage
KW - Axial splitting
KW - Concrete
KW - Constitutive equations
KW - Dissipation potential
KW - Elastic-brittle material
KW - Failure modes
KW - Ottosen's 4-parameter criterion
KW - The specific Gibbs free energy
UR - http://www.scopus.com/inward/record.url?scp=85105694748&partnerID=8YFLogxK
U2 - 10.1016/j.ijsolstr.2021.111048
DO - 10.1016/j.ijsolstr.2021.111048
M3 - Article
AN - SCOPUS:85105694748
VL - 225
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
SN - 0020-7683
M1 - 111048
ER -