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A Gradient-Damage Model for Cyclic Behavior of Concrete

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Advances in Fluid Mechanics and Solid Mechanics

Abstract

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.

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Acknowledgements

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

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Correspondence to A. H. Monnamitheen Abdul Gafoor .

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Monnamitheen Abdul Gafoor, A.H., Dinkler, D. (2020). A Gradient-Damage Model for Cyclic Behavior of Concrete. In: Maity, D., Siddheshwar, P., Saha, S. (eds) Advances in Fluid Mechanics and Solid Mechanics. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-0772-4_27

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  • DOI: https://doi.org/10.1007/978-981-15-0772-4_27

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-0771-7

  • Online ISBN: 978-981-15-0772-4

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