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bilateral notch crack 1

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critical extension 1

equivalent critical stretch 1

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Multiscale analysis-based peridynamic simulation of fracture in porous media

Frontiers of Structural and Civil Engineering 2024, Volume 18, Issue 1, Pages 1-13 doi: 10.1007/s11709-024-1043-9

Abstract: The simulation of fracture in large-scale structures made of porous media remains a challenging task. Current techniques either assume a homogeneous model, disregarding the microstructure characteristics, or adopt a micro-mechanical model, which incurs an intractable computational cost due to its complex stochastic geometry and physical properties, as well as its nonlinear and multiscale features. In this study, we propose a multiscale analysis-based dual-variable-horizon peridynamics (PD) model to efficiently simulate macroscopic structural fracture. The influence of microstructures in porous media on macroscopic structural failure is represented by two PD parameters: the equivalent critical stretch and micro-modulus. The equivalent critical stretch is calculated using the microscale PD model, while the equivalent micro-modulus is obtained through the homogenization method and energy density equivalence between classical continuum mechanics and PD models. Numerical examples of porous media with various microstructures demonstrate the validity, accuracy, and efficiency of the proposed method.

Keywords： porous media multiscale variable-horizon peridynamic equivalent critical stretch equivalent micro-modulus

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Crack propagation with different radius local random damage based on peridynamic theory

Frontiers of Structural and Civil Engineering 2021, Volume 15, Issue 5, Pages 1238-1248 doi: 10.1007/s11709-021-0695-y

Abstract: Drawing from the advantages of Classical Mechanics, the peridynamic theory can clarify the crack propagationThis study implements the peridynamic theory by subjecting bilateral notch cracked specimens to the conditions

Keywords： peridynamics stochastic damage bilateral notch crack

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A new fracture criterion for peridynamic and dual-horizon peridynamics

Jinhai ZHAO, Hesheng TANG, Songtao XUE

Frontiers of Structural and Civil Engineering 2018, Volume 12, Issue 4, Pages 629-641 doi: 10.1007/s11709-017-0447-1

Abstract: A new fracture criterion based on the crack opening displacement for peridynamic (PD) and dual-horizon

Keywords： Castigliano’s theorem breaking energy critical extension XFEM COD PD-COD

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Peridynamics versus XFEM: a comparative study for quasi-static crack problems

Jinhai ZHAO, Hesheng TANG, Songtao XUE

Frontiers of Structural and Civil Engineering 2018, Volume 12, Issue 4, Pages 548-557 doi: 10.1007/s11709-017-0434-6

Abstract: Peridynamics (PD) is a nonlocal continuum theory based on integro-differential equations without spatial derivatives. The fracture criterion is implicitly incorporated in the PD theory and fracture is a natural outcome of the simulation. However, capturing of complex mixed-mode crack patterns has been proven to be difficult with PD. On the other hand, the extended finite element method (XFEM) is one of the most popular methods for fracture which allows crack propagation with minimal remeshing. It requires a fracture criterion which is independent of the underlying discretization though a certain refinement is needed in order to obtain suitable results. This article presents a comparative study between XFEM and PD. Therefore, two examples are studied. The first example is crack propagation in a double notched specimen under uniaxial tension with different crack spacings in loading direction. The second example is the specimens with two center cracks. The results show that PD as well as XFEM are well suited to capture this type of behaviour.

Keywords： XFEM peridynamic bilateral crack parallel double cracks nonlocal theory