High-fidelity simulations of multiple fracture processes in a laminated composite in tension

Fang, Xianyong; Zhou, Zhiquan; Cox, Brian N.; Yang, Qingda

doi:10.1016/j.jmps.2011.04.007

Cited by 80 publications

(43 citation statements)

References 59 publications

(85 reference statements)

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“…In the heterogeneity of an advanced composite, failure occurs by a complex combination of interacting cracks and local damage events, which are governed by nonlinear material behavior. Key advances in theory have enabled a realistic depiction of the nonlinear mechanics of crack initiation, growth, bifurcation, and coalescence; critically, the location and path of each crack are determined by local stress conditions during a simulation, rather than being prescribed in advance (17)(18)(19)(20)(21)(22)(23)(24)(25)(26). Fidelity in simulations was impossible before such generality was achieved.…”

Section: The Purpose Nature and Challenges Of Virtual Testsmentioning

confidence: 99%

“…Simulations of failure in laminated polymer composites have successfully predicted the evolution of quite complex systems of interacting splitting, delamination, and transverse ply cracks. In polymer composites, multiscale mechanisms are present, so an effective ply-level model (i.e., a model using homogenized plies) must include both discrete representations of ply-scale cracks and continuum plasticity to represent damage occurring at the fiber scale (24). In textile ceramic matrix composites, microplasticity is minimal (except at very high temperatures), and multiscale effects consist of microcracking that occurs at different scales, for example, breaks of an individual fiber or failure of its interface with the matrix, matrix cracks of size commensurate with the width of a tow, and macroscopic cracks spanning many tows.…”

Section: Damagementioning

confidence: 99%

“…Under the name phantom node method (PNM), its first applications were to dynamic cracking and shear banding in thin plates (182), after which it was used for composite materials (183)(184)(185). The augmented FEM (A-FEM), which was developed by Yang and colleagues (186)(187)(188) and is similar to the conceptual element in the PNM but without the use of PoU methods, has also been successfully used to study multiple arbitrary cracking problems in laminated composites. The PNM and A-FEM do not represent the crack tip as singular but assume that stress remains finite due to the action of material nonlinearity.…”

Section: Rapid Computation Of Multiple Discrete Damage Eventsmentioning

confidence: 99%

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Stochastic Virtual Tests for High-Temperature Ceramic Matrix Composites

Cox

Bale

Begley

et al. 2014

Annu. Rev. Mater. Res.

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We review the development of virtual tests for high-temperature ceramic matrix composites with textile reinforcement. Success hinges on understanding the relationship between the microstructure of continuous-fiber composites, including its stochastic variability, and the evolution of damage events leading to failure. The virtual tests combine advanced experiments and theories to address physical, mathematical, and engineering aspects of material definition and failure prediction. Key new experiments include surface image correlation methods and synchrotron-based, micrometer-resolution 3D imaging, both executed at temperatures exceeding 1,500• C. Computational methods include new probabilistic algorithms for generating stochastic virtual specimens, as well as a new augmented finite element method that deals efficiently with arbitrary systems of crack initiation, bifurcation, and coalescence in heterogeneous materials. Conceptual advances include the use of topology to characterize stochastic microstructures. We discuss the challenge of predicting the probability of an extreme failure event in a computationally tractable manner while retaining the necessary physical detail. 17.1

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Section: The Purpose Nature and Challenges Of Virtual Testsmentioning

confidence: 99%

Section: Damagementioning

confidence: 99%

Section: Rapid Computation Of Multiple Discrete Damage Eventsmentioning

confidence: 99%

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Stochastic Virtual Tests for High-Temperature Ceramic Matrix Composites

Cox

Bale

Begley

et al. 2014

Annu. Rev. Mater. Res.

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“…Their focus was on the non-linear response of the shear failure mode and the interaction with other failure modes. Recent literature in mechanic-based understanding and modeling of progressive damage analysis and prediction of strength of composite laminates specially notched laminates in composite research community contains many noteworthy studies such as the works reported by Camanho et al [11], Abisset et al [12], van der Meer et al [13] and Fang et al [14], Daghia and Ladeveze [15]. Among them, Camanho et al [11] examined a continuum damage model to predict the strength and size effects of notched carbon-epoxy laminates.…”

Section: Introductionmentioning

confidence: 99%

“…They validated their computational framework against experimental observations for openhole tests and compact tension tests. Fang et al [14] presented a new augmented finite element method (A-FEM) which can account for arbitrary crack path, and different intra-element discontinuities. They showed that within their new formulation one is able to derive an explicit and fully condensed elemental equilibrium equations using augmented elements without additional external nodes or degree of freedom.…”

Section: Introductionmentioning

confidence: 99%

Stochastic analysis of inter- and intra-laminar damage in notched PEEK laminates

Naderi¹,

Khonsari²

2013

Express Polym. Lett.

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Abstract. This paper presents a finite element model to predict the progressive damage mechanisms in open-hole PEEK (Poly-Ether-Ether-Ketone) laminates. The stochastic laminate's properties with non-uniform stress distribution are considered from element to element using the Gaussian distribution function. The failure modes considered are: fiber tension/ compression, matrix tension/compression, fiber/matrix shear, and delamination damage. The onset of damage initiation and propagation are predicted and compared with three different failure criteria: strain-based damage criterion, Hashin-based degradation approach and stress-based damage criterion which is proposed by the authors of the present work. The interlaminar damage modes associated with fiber/matrix shearing and delamination are modeled using the cohesive elements technique in ABAQUS™ with fracture energy evolution law. Mesh sensitivity and the effect of various viscous regularization factors are investigated. Damage propagation and failure path are examined by re-running the program for several times.

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Fracture: Toughness

Yang¹,

Giancaspro²

2012

Wiley Encyclopedia of Composites

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This article begins by reviewing the analytical solutions that have been used to interpret fracture toughness from composite fracture testing using beam‐like geometries. It has been demonstrated that the crack length corrections needed for estimation of mode I and mode II energy release rates (ERRs) cannot be used as simple additions to physical crack lengths for analytical specimen compliance calculations (which have been used in the literature). Improved analytical expressions for ERR, specimen compliance, and load versus load‐point displacement relationships have been rederived for generally orthotropic double cantilever beam (DCB) (mode I), end‐loaded split (ELS) and end‐notched flexure (ENF) (mode II), and MMB (mixed‐mode bending) specimens based on the framework of Andrews and Massabo 1. These new solutions account for the effects of transverse shear and crack‐tip rotations and are accurate for both short and long beams within 2% as long as the length‐to‐thickness ratio of each subbeam is > 2λ − 1/4. The crack‐tip rotation effects on an indeterminate single cantilever beam (SCB) specimen with varying mixed‐mode ratio have also been investigated. This investigation was facilitated by establishing a solving procedure with explicit consideration of crack‐tip rotations. It has been found that the crack‐tip rotation not only changes the specimen compliance but also affects the distribution of end reaction forces and moments at the specimen boundaries. Consequently, these influence the crack‐tip ERR and phase angle. Through direct comparisons with the benchmark results obtained using rigorous two‐dimensional finite‐element analysis, it has been shown that the analytical solutions can accurately capture the convoluted crack‐tip rotation effects and can offer excellent predictions on the end reaction forces and moments, fracture loads, and crack‐tip phase angles (as functions of crack length). However, if crack‐tip rotations are not considered, the beam theory results can have significant error, especially for short beams with high degree of material orthotropy.

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High-fidelity simulations of multiple fracture processes in a laminated composite in tension

Cited by 80 publications

References 59 publications

Stochastic Virtual Tests for High-Temperature Ceramic Matrix Composites

Stochastic Virtual Tests for High-Temperature Ceramic Matrix Composites

Stochastic analysis of inter- and intra-laminar damage in notched PEEK laminates

Fracture: Toughness

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