Dynamic strain gradient brittle fracture propagation: comparison with experimental evidence

Valerii Maksimov; Luca Placidi; Francisco James León Trujillo; Chiara De Santis; Anil Misra; Dmitry Timofeev; Francesco Fabbrocino; Emilio Barchiesi; Valerii Maksimov; Luca Placidi; Francisco James León Trujillo; Chiara De Santis; Anil Misra; Dmitry Timofeev; Francesco Fabbrocino; Emilio Barchiesi

doi:10.3934/nhm.2024047

Networks and Heterogeneous Media

2024, Volume 19, Issue 3: 1058-1084. doi: 10.3934/nhm.2024047

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Research article

Dynamic strain gradient brittle fracture propagation: comparison with experimental evidence

1.
Faculty of Engineering, International Telematic University Uninettuno, Rome, Italy
2.
International Research Center on Mathematics and Mechanics of Complex Systems (M & MoCS), Università degli Studi dell' Aquila, L' Aquila, Italy
3.
Department of architecture, design and urbanism, Università degli Studi di Sassari, Alghero, Italy
4.
Department of Civil and Environmental Engineering, Florida International University, Miami, FL, USA
5.
Faculty of Engineering, Telematic University Pegaso, Naples, Italy

Received: 15 April 2024 Revised: 25 June 2024 Accepted: 01 July 2024 Published: 30 September 2024

This paper presented a physico-mathematical model for dynamic fracture propagation in brittle materials with a purely continuum mechanics hemi-variational-based strain gradient theory. As for the quasi-static case, the simulation results, obtained by means of finite elements, revealed that strain gradient effects significantly affected the fracture propagation, leading to finite fracture thickness that was independent of the mesh size. It was also observed that nonsymmetric loading rate lead to a deviation from standard mode-Ⅰ crack propagation that cannot be revealed in the quasi-static case. The model results were compared against experimental data from fracture tests on notched specimens taken from the literature. The comparison showed good agreement between the model predictions and the experimental measurements. The presented model and simulation results can be useful in the design and optimization of structural components subjected to dynamic loading conditions.
- strain gradient,
- 2D continua,
- damage mechanics,
- variational procedure,
- kinetic energy,
- Karush-Kuhn-Tucker conditions
Citation: Valerii Maksimov, Luca Placidi, Francisco James León Trujillo, Chiara De Santis, Anil Misra, Dmitry Timofeev, Francesco Fabbrocino, Emilio Barchiesi. Dynamic strain gradient brittle fracture propagation: comparison with experimental evidence[J]. Networks and Heterogeneous Media, 2024, 19(3): 1058-1084. doi: 10.3934/nhm.2024047

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Abstract

This paper presented a physico-mathematical model for dynamic fracture propagation in brittle materials with a purely continuum mechanics hemi-variational-based strain gradient theory. As for the quasi-static case, the simulation results, obtained by means of finite elements, revealed that strain gradient effects significantly affected the fracture propagation, leading to finite fracture thickness that was independent of the mesh size. It was also observed that nonsymmetric loading rate lead to a deviation from standard mode-Ⅰ crack propagation that cannot be revealed in the quasi-static case. The model results were compared against experimental data from fracture tests on notched specimens taken from the literature. The comparison showed good agreement between the model predictions and the experimental measurements. The presented model and simulation results can be useful in the design and optimization of structural components subjected to dynamic loading conditions.

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