Damage evolution in braided composite tubes under torsion studied by in-situ X-ray computed tomography

Chai, Yuan; Wang, Ying; Yousaf, Zeshan; Vo, Nghia T.; Lowe, Tristan; Potluri, Prasad; Withers, Philip J.

doi:10.1016/j.compscitech.2019.107976

Cited by 47 publications

(13 citation statements)

References 18 publications

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“…Thus, Anderson acceleration may indeed lead to a benefit in practice, also for gradient descent. As Moulinec–Suquet's basic scheme 1,2 is essentially a gradient‐descent method for stress operators with potential, 30,35,56 we may interpret the positive results of Gélébart's AMITEX solver, 21,80 who applied Anderson acceleration to the basic scheme, as a testament for this statement.…”

Section: Anderson‐accelerated Polarization Schemesmentioning

confidence: 94%

Anderson‐accelerated polarization schemes for fast Fourier transform‐based computational homogenization

Wicht

Schneider

Böhlke

2021

Numerical Meth Engineering

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Classical solution methods in fast Fourier transform‐based computational micromechanics operate on, either, compatible strain fields or equilibrated stress fields. By contrast, polarization schemes are primal‐dual methods whose iterates are neither compatible nor equilibrated. Recently, it was demonstrated that polarization schemes may outperform the classical methods. Unfortunately, their computational power critically depends on a judicious choice of numerical parameters. In this work, we investigate the extension of polarization methods by Anderson acceleration and demonstrate that this combination leads to robust and fast general‐purpose solvers for computational micromechanics. We discuss the (theoretically) optimum parameter choice for polarization methods, describe how Anderson acceleration fits into the picture, and exhibit the characteristics of the newly designed methods for problems of industrial scale and interest.

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Section: Anderson‐accelerated Polarization Schemesmentioning

confidence: 94%

Anderson‐accelerated polarization schemes for fast Fourier transform‐based computational homogenization

Wicht

Schneider

Böhlke

2021

Numerical Meth Engineering

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“…After the initial contribution by Herrmann et al [224] who considered linear and elastic-plastic fracture mechanics, it took more than ten years until local damage models were considered again. FFT-based approaches are reported for isotropic local damage [225][226][227] and anisotropic local damage in SiC/SiC composite tubes [228], woven composites [229] and braided composites [230,231].…”

Section: Damage and Fracture Mechanicsmentioning

confidence: 99%

“…Woven [229] and non-woven [257,258] materials as well as braided composites [230,231] were considered. For short fiber composites, studies included their viscoelastic behavior [259,260], a comparison to in situ microtensile experiments [261] and an optimal experimental design [262].…”

Section: Compositesmentioning

confidence: 99%

A review of nonlinear FFT-based computational homogenization methods

Schneider

2021

Acta Mech

126

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Since their inception, computational homogenization methods based on the fast Fourier transform (FFT) have grown in popularity, establishing themselves as a powerful tool applicable to complex, digitized microstructures. At the same time, the understanding of the underlying principles has grown, in terms of both discretization schemes and solution methods, leading to improvements of the original approach and extending the applications. This article provides a condensed overview of results scattered throughout the literature and guides the reader to the current state of the art in nonlinear computational homogenization methods using the fast Fourier transform.

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“…This test method is particularly attractive as the natural shape of a tri-axial braided preform is a long tube. This test method has, for example, been adopted by Harte and Fleck, 10 who studied the different failure modes occurring in braided tubes under torsional loading, Potluri and co-workers, 11 who studied the effect of braid angle on the torsional properties of braided composites, or Chai and coworkers, 12,13 who studied the evolution of micro-damage using in-situ tomography. Researchers at NASA developed an H-shaped specimen, 14,15 which is used in a test rig based on ASTM D7078 V-notched rail shear test method.…”

Section: Introductionmentioning

confidence: 99%

The effect of loading rate on the in-plane shear strength of tri-axial braided composites

May

Kilchert

2021

Journal of Composite Materials

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The in-plane shear strength of tri-axial braided composite materials was measured for three different braid angles (30°, 45°, and 60°) and two strain rates (0.001 s−1; 3 s−1) using the three-rail shear test. The in-plane shear strength was found to be sensitive to both—the braid angle and the strain rate. An increase of braid angle resulted in a reduction of shear strength, whilst an increase of loading rate resulted in an increase of shear strength of 8%–17%, depending on the braid angle.

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Damage evolution in braided composite tubes under torsion studied by in-situ X-ray computed tomography

Cited by 47 publications

References 18 publications

Anderson‐accelerated polarization schemes for fast Fourier transform‐based computational homogenization

Anderson‐accelerated polarization schemes for fast Fourier transform‐based computational homogenization

A review of nonlinear FFT-based computational homogenization methods

The effect of loading rate on the in-plane shear strength of tri-axial braided composites

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