I appreciate for your great paper which you shared
but in this article I couldn't find my answer which is way to modeling pinching effect in abaqus
beside lots of study shows that damaged plasticity material couldn't be able to model pinching effect properly, cause there is no proper material to model this behavior in abaqus I change software a long time age
so I tested TNO DIANA software which has excellent brittle crack model but I encountered to lack of available work study on concrete in this great software
so again I decide to change software to LS-DYNA because of this video
abaqus can't model pinching effect cause the only material which could model dynamic effect is CDP for concrete and its codding is not good for pinching effect read this artical: Peter Grassl , Milan Jirasek, "Damage-plastic model for concrete failure," International Journal of Solids and Structures, vol. 43, p. 7166–7196, 2006.