Peridynamic modeling of nonlocal degrading interfaces in composites

Laurien, Marie; Javili, Ali; Steinmann, Paul

doi:10.1016/j.finmec.2022.100124

Cited by 9 publications

(1 citation statement)

References 40 publications

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“…One of the major challenges still present in peridynamics research is the modeling of interfaces between different materials, 35,36 which is a crucial consideration when using composites. Two diametrically different examples can be seen in Figure 2, in which nuclear ceramic fuel and structural ceramic composites present cracks appearing at the interfaces.…”

Section: Interface Modelingmentioning

confidence: 99%

Bond‐based peridynamics model of 3‐point bend tests of ceramic‐composite interfaces

Battistini,

Haynes,

Jones

et al. 2024

J Am Ceram Soc.

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The need for ceramic composites is increasing over a vast range of industrial applications, including energy and nuclear technology (structural materials for fission and fusion applications); space (thermal shields) or chemical sectors. Current finite element (FE) models are not able to reproduce the aleatory nature of crack generation and propagation through materials and interfaces. To tackle the shortcomings of FE models, a nonlocal bond‐based peridynamics model implemented in the Abaqus FE code has been updated to reproduce the behavior of interfaces between ceramic materials. Two‐ and three‐dimensional simulations have been used to simulate three‐point bend tests for a range of ceramic composites and compared with experiments available in the literature. The model reproduced most of the experimental failure loads, as well as correctly reproducing the failure modes and crack patterns. In particular, the model was able to predict two mechanisms for interface failure, cohesive failure, in which the two materials separate exactly at the interface, and cohesive failure of the substrate, in which a thin layer of the weaker material remains attached to the stronger material and a crack propagates in the weaker material, rather than at the interface. Both failure modes are experimentally observed and still difficult to reproduce with currently available FE simulations.

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Section: Interface Modelingmentioning

confidence: 99%

Bond‐based peridynamics model of 3‐point bend tests of ceramic‐composite interfaces

Battistini,

Haynes,

Jones

et al. 2024

J Am Ceram Soc.

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A comparative study of micromorphic gradient‐extensions for anisotropic damage at finite strains

van der Velden,

Brepols,

Reese

et al. 2024

Numerical Meth Engineering

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Modern inelastic material model formulations rely on the use of tensor‐valued internal variables. When inelastic phenomena include softening, simulations of the former are prone to localization. Thus, an accurate regularization of the tensor‐valued internal variables is essential to obtain physically correct results. Here, we focus on the regularization of anisotropic damage at finite strains. Thus, a flexible anisotropic damage model with isotropic, kinematic, and distortional hardening is equipped with three gradient‐extensions using a full and two reduced regularizations of the damage tensor. Theoretical and numerical comparisons of the three gradient‐extensions yield excellent agreement between the full and the reduced regularization based on a volumetric‐deviatoric regularization using only two nonlocal degrees of freedom.

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A versatile implicit computational framework for continuum-kinematics-inspired peridynamics

Firooz,

Javili,

Steinmann

2023

Comput Mech

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Continuum-kinematics-inspired peridynamics (CPD) has been recently proposed as a novel reformulation of peridynamics that is characterized by one-, two- and three-neighbor interactions. CPD is geometrically exact and thermodynamically consistent and does not suffer from zero-energy modes, displacement oscillations or material interpenetration. In this manuscript, for the first time, we develop a computational framework furnished with automatic differentiation for the implementation of CPD. Thereby, otherwise tedious analytical differentiation is automatized by employing hyper-dual numbers (HDN). This differentiation method does not suffer from round-off errors, subtractive cancellation errors or truncation errors and is thereby highly stable with superb accuracy being insensitive to perturbation values. The computational framework provided here is compact and model-independent, thus once the framework is implemented, any other material model can be incorporated via modifying the potential energy solely. Finally, to illustrate the versatility of our proposed framework, various potential energies are considered and the corresponding material response is examined for different scenarios.

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Peridynamic modeling of nonlocal degrading interfaces in composites

Cited by 9 publications

References 40 publications

Bond‐based peridynamics model of 3‐point bend tests of ceramic‐composite interfaces

Bond‐based peridynamics model of 3‐point bend tests of ceramic‐composite interfaces

A comparative study of micromorphic gradient‐extensions for anisotropic damage at finite strains

A versatile implicit computational framework for continuum-kinematics-inspired peridynamics

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