Eigenerosion for static and dynamic brittle fracture

Stochino, Flavio; Qinami, Aurel; Kaliske, Michael

doi:10.1016/j.engfracmech.2017.05.025

Cited by 28 publications

(18 citation statements)

References 28 publications

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“…In the limiting case, for vanishing both mesh size and ε parameter in the right order, the approximation converges to the Griffith description. Very good results have been achieved for the eigenerosion approach in case of static and dynamic applications (see among others Reference ). The main advantage of using the eigenerosion approach resides in the description of the fracture process without the need of introducing extra degrees of freedom.…”

Section: Introductionmentioning

confidence: 89%

Variational eigenerosion for rate‐dependent plasticity in concrete modeling at small strain

Qinami

Pandolfi

Kaliske

2019

Numerical Meth Engineering

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Summary In the context of eigenfracture scheme, the work at hand introduces a variational eigenerosion approach for inelastic materials. The theory seizes situations where the material accumulates large amounts of plastic deformations. For these cases, the surface energy entering the energy balance equation is rescaled to favor fracture, thus energy minimization delivers automatically the crack‐tracking solution also for inelastic cases. The minimization approach is sound and preserves the mathematical properties necessary for the Γ‐limit proof, thus the existence of (local) minimizers is guaranteed by the Γ‐convergence theory. Although it is not possible to demonstrate that the obtained minimizers are global, satisfactory results are obtained with the local minimizers provided by the method. Furthermore, with the goal of addressing the constitutive behavior of concrete, a Drucker‐Prager viscoplastic consistency model is introduced in the microplane setting. The model delivers a rate‐dependent three‐surface smooth yield function that requires hardening and hardening‐rate parameters. The independent evolution of viscoplasticity in different microplanes induces anisotropy in the mechanical response. The sound performance of the model is illustrated via numerical examples for both rate‐independent and rate‐dependent plasticity.

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Section: Introductionmentioning

confidence: 89%

Variational eigenerosion for rate‐dependent plasticity in concrete modeling at small strain

Qinami

Pandolfi

Kaliske

2019

Numerical Meth Engineering

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“…prescribed defects, in the model and cracks and fractures initiated over time. Another notable approach with the same feature is the eigen-erosion framework [309][310][311][312].…”

Section: Advantagesmentioning

confidence: 99%

A comparative review of peridynamics and phase-field models for engineering fracture mechanics

Diehl¹,

Lipton²,

Wick³

et al. 2021

Preprint

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Computational modeling of the initiation and propagation of complex fracture is central to the discipline of engineering fracture mechanics. This review focuses on two promising approaches: phase-field (PF) and peridynamic (PD) models applied to this class of problems. The basic concepts consisting of constitutive models, failure criteria, discretization schemes, and numerical analysis are briefly summarized for both models. Validation against experimental data is essential for all computational methods to demonstrate predictive accuracy. To that end, The Sandia Fracture Challenge and similar experimental data sets where both models could be benchmarked against are showcased. Emphasis is made to converge on common metrics for the evaluation of these two fracture modeling approaches. Both PD and PF models are assessed in terms of their computational effort and predictive capabilities with their relative advantages and challenges are summarized.

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“…The impact experiments on nonstrengthened RC elements are modeled in detail in the project B4, in which an appropriate variational fracture scheme and a constitutive relation for concrete considering rate effects is developed in the framework of Finite Element Method (FEM). The goal of the project is to describe the structural failure under impact loading realistically and efficiently [23][24][25][26]. The outcomes of the projects B3 and B4 form the basis for the numerical simulation of strengthened RC elements.…”

Section: Structural Strengtheningmentioning

confidence: 99%

Mineral-bonded composites for enhanced structural impact safety - Overview of the format, goals and achievements of the research group GRK 2250

Curosu¹

2019

Proceedings of the 10th International Conference on Fracture Mechanics of Concrete and Concrete Structures

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Existing concrete and reinforced concrete structures feature, as a rule, a relatively low resistance against various types of dynamic loading, such as earthquake, impact or blast. This makes it important to develop effective and feasible solutions for the enhancement of the structural impact resistance, for example, by applying thin layers of strengthening material. In the frame of the Research Training Group GRK 2250 "Mineral-bonded composites for enhanced structural impact safety", established in 2017 by the German Research Foundation (DFG) at the TU Dresden, design concepts for such strengthening layers are developed and investigated experimentally and numerically. The contribution provides an overview about the goals, structure and multidisciplinary research done by the Research Training Group and presents some representative results on the impact resistance of ductile composites with continuous textile and/or short fiber reinforcement.

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Eigenerosion for static and dynamic brittle fracture

Cited by 28 publications

References 28 publications

Variational eigenerosion for rate‐dependent plasticity in concrete modeling at small strain

Variational eigenerosion for rate‐dependent plasticity in concrete modeling at small strain

A comparative review of peridynamics and phase-field models for engineering fracture mechanics

Mineral-bonded composites for enhanced structural impact safety - Overview of the format, goals and achievements of the research group GRK 2250

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