A Gradient-Damage Model for Cyclic Behavior of Concrete

  • A. H. Monnamitheen Abdul GafoorEmail author
  • D. Dinkler
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


The present paper elaborates a continuum formulation using a single loading surface that relates a unified equivalent strain with a history deformation parameter to characterize both the softening and hardening behaviors of the material. The history parameter governs the growth of damage. Two additional history parameters capture the crack-opening/closure effectively. The model further incorporates an implicit-gradient regularization to avoid numerical difficulties such as localization of deformation into a vanishing size and ill-posedness of the boundary value problem. Numerical results exhibit good agreement with experimental data under several tests. Finally, the paper demonstrates the localization of deformation due to a gradient-enhanced variable.


Isotropic damage History parameter Evolution law Implicit-gradient 



The financial supports by DAAD (Research Grants, No.:57048249) and DFG (GRK 2075) are greatly acknowledged.


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© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.Institute of Structural AnalysisTechnische Universität BraunschweigBrunswickGermany

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