Experimental validation of a phase-field model for fracture

Pham, Kim; Ravi‐Chandar, Krishnaswamy; Landis, Chad M.

doi:10.1007/s10704-017-0185-3

Cited by 111 publications

(57 citation statements)

References 21 publications

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“…Second, since enforcing the irreversibility of the damage field by the application of a local history field [9] yields erroneous results for the rate-dependent formulation, we propose to directly use the constraints on the evolution of the damage field. Third, we introduce an adaptive time-stepping algorithm and use the corrector scheme of [28] to reduce computation times. Fourth, [29] showed for a gradient-enhanced damage model, that measurements of local strains near the crack tip are required to correctly calibrate the fracture parameters, especially the length scale.…”

Section: Accepted Manuscriptmentioning

confidence: 99%

Rate-dependent phase-field damage modeling of rubber and its experimental parameter identification

Loew

Peters

Beex

2019

Journal of the Mechanics and Physics of Solids

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Phase-field models have the advantage in that no geometric descriptions of cracks are required, which means that crack coalescence and branching can be treated without additional effort. Miehe et al. [1] introduced a rate-independent phase-field damage model for finite strains in which a viscous damage regularization was proposed. We extend the model to depend on the loading rate and time by incorporating rubber's strain-rate dependency in the constitutive description of the bulk, as well as in the damage driving force. The parameters of the model are identified using experiments at different strain rates. Local strain fields near the crack tip, obtained with digital image correlation (DIC), are used to help identify the length scale parameter. Three different degradation functions are assessed for their accuracy to model the rubber's rate-dependent fracture. An adaptive time-stepping approach with a corrector scheme is furthermore employed to increase the computational efficiency with a factor of six, whereas an active set method guarantees the irreversibility of damage. Results detailing the energy storage and dissipation of the different model constituents are included, as well as validation results that show promising capabilities of rate-dependent phase-field modeling.

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Section: Accepted Manuscriptmentioning

confidence: 99%

Rate-dependent phase-field damage modeling of rubber and its experimental parameter identification

Loew

Peters

Beex

2019

Journal of the Mechanics and Physics of Solids

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“…Specially, at micro/mesoscopic scales, in which cement-based materials exhibit strongly heterogeneous microstructures, the present method is capable of simulating extremely complex crack networks. In addition, the crack assessment requires here only two more parameters (i.e., fracture resistance and internal length), which can be easily identified by simple experimental test, see e.g., [34,35]. Hence the proposed model is strongly recommended to reproduce/validate experimental observations.…”

Section: Introductionmentioning

confidence: 99%

Computational chemo-thermo-mechanical coupling phase-field model for complex fracture induced by early-age shrinkage and hydration heat in cement-based materials

Nguyen

Waldmann

Bui

2019

Computer Methods in Applied Mechanics and Engineering

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In this paper, we present a new multi-physics computational framework that enables us to capture and investigate complex fracture behavior in cement-based materials at early-age. The present model consists of coupling the most important chemothermo-mechanical processes to describe temperature evolution, variation of hydration degree, and mechanical behavior. The changes of material properties are expressed as a function of the hydration degree, to capture the age effects. Fracture analysis of these processes is then accommodated by a versatile phase field model in the framework of smeared crack models, addressing the influence of cracks on hydration and thermal transfer. We additionally describe a stable and robust numerical algorithm, which aims to solve coupled problems by using a staggered scheme. The developed approach is applied to study the fracture phenomena for both homogeneous and heterogeneous concrete structures. Especially, in the second case, all microstructural heterogeneities of sand and cement matrix are explicitly accounted. Nucleation, initiation, and propagation of complex crack network are simulated in an efficient way demonstrating the potential of the proposed approach to assess the early-age defects in concrete structures and materials.

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“…We assess the capabilities of the modelling framework in capturing mixed-mode crack propagation in FGMs. While it is widely considered that the phase field fracture method holds great promise in dealing with crack propagation under mixed-mode con-ditions, even in homogeneous material comparisons with experiments are scarce [34].…”

Section: Mixed Mode Fracture Of a Graded Photodegradable Copolymermentioning

confidence: 99%

Phase field modelling of crack propagation in functionally graded materials

Hirshikesh

Natarajan

Annabattula

et al. 2019

Composites Part B: Engineering

179

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We present a phase field formulation for fracture in functionally graded materials (FGMs). The model builds upon homogenization theory and accounts for the spatial variation of elastic and fracture properties. Several paradigmatic case studies are addressed to demonstrate the potential of the proposed modelling framework. Specifically, we (i) gain insight into the crack growth resistance of FGMs by conducting numerical experiments over a wide range of material gradation profiles and orientations, (ii) accurately reproduce the crack trajectories observed in graded photodegradable copolymers and glass-filled epoxy FGMs, (iii) benchmark our predictions with results from alternative numerical methodologies, and (iv) model complex crack paths and failure in three dimensional functionally graded solids. The suitability of phase field fracture methods in capturing the crack deflections intrinsic to crack tip mode-mixity due to material gradients is demonstrated. Material gradient profiles that prevent unstable fracture and enhance crack growth resistance are identified: this provides the foundation for the design of fracture resistant FGMs. The finite element code developed can be downloaded from www.empaneda.com/codes.

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Experimental validation of a phase-field model for fracture

Cited by 111 publications

References 21 publications

Rate-dependent phase-field damage modeling of rubber and its experimental parameter identification

Rate-dependent phase-field damage modeling of rubber and its experimental parameter identification

Computational chemo-thermo-mechanical coupling phase-field model for complex fracture induced by early-age shrinkage and hydration heat in cement-based materials

Phase field modelling of crack propagation in functionally graded materials

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