Progressive failure of a unidirectional fiber-reinforced composite using the method of cells: Discretization objective computational results

Pineda, Evan J.; Bednarcyk, Brett A.; Waas, Anthony M.; Arnold, Steven M.

doi:10.1016/j.ijsolstr.2012.12.003

Cited by 79 publications

(38 citation statements)

References 39 publications

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“…The smeared crack approach has been used by Heinrich and Waas [2] to predict cracking of polymer matrix composites (PMC). Pineda et al [9] used the crack band method in a multi-scale scheme. In another work, Pineda and Waas [20] used the enhanced Schapery theory to predict damage in PMC laminates.…”

Section: Crack Band Failure Modelmentioning

confidence: 99%

“…Aboudi et al [8] introduced the generalized method of cells (GMC), a semi-analytical method, which discretized the microstructure with rectangular subcells. Pineda et al [9] achieved mesh objectivity with a thermodynamics-based approach within GMC as well as high-fidelity generalized method of cells (HFGM). Multi-scaling methods often suffer from lower computational efficiency compared to homogenized models.…”

Section: Introductionmentioning

confidence: 99%

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Mesh-objective two-scale finite element analysis of damage and failure in ceramic matrix composites

Meyer

Waas

2015

Integr Mater Manuf Innov

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A mesh-objective two-scale finite element approach for analyzing damage and failure of fiber-reinforced ceramic matrix composites is presented here. The commercial finite element software suite Abaqus is used to generate macroscopic models, e.g., structural-level components or parts of ceramic matrix composites (CMCs), coupled with a second finite element code which pertains to the sub-scale at the fiber-matrix interface level, which is integrated seamlessly using user-generated subroutines and referred to as the integrated finite element method (IFEM). IFEM calculates the reaction of a microstructural sub-scale model that consists of a representative volume element (RVE) which includes all constituents of the actual material, e.g., fiber, matrix, and fiber/matrix interfaces, details of packing, and nonuniformities in properties. The energy-based crack band theory (CBT) is implemented within IFEM's sub-scale constitutive laws to predict micro-cracking in all constituents included in the model. The communication between the micro-and macro-scale is achieved through the exchange of strain, stress, and stiffness tensors. Important failure parameters, e.g., crack path and proportional limit, are part of the solution and predicted with a high level of accuracy. Numerical predictions are validated against experimental results.

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Section: Crack Band Failure Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Mesh-objective two-scale finite element analysis of damage and failure in ceramic matrix composites

Meyer

Waas

2015

Integr Mater Manuf Innov

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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%

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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“…The HFGMC theory has been extensively validated vs. experiment data, and extensively verified vs. detailed finite element models, in both the linear and nonlinear regimes for polymer, metal, and ceramic matrix composites (c.f., [2,9,32,24]. In order to verify the fully random fiber orientation averaging procedure, described in Section 3.3, comparison has been made to results for the effective Young's modulus and effective Poisson's ratio based on the equations presented by Christensen and Waals [12].…”

Section: Polymer Matrix Compositementioning

confidence: 99%

“…6 compares the predicted fully random (isotropic) effective graphite/epoxy composite properties predicted by the present fully random averaging approach implemented within HFGMC with the Christensen and Waals (C&W) [12] Eqs. (32) and (33), as a function of fiber volume fraction, normalized by the isotropic matrix properties. In addition to the CCA model, predictions are shown for the Self-Consistent Scheme [15], the Mori and Tanaka [29] Method, the Method of Cells (MOC) [1], and HFGMC, wherein the C&W averaging equations have been used.…”

Section: Polymer Matrix Compositementioning

confidence: 99%

The effect of general statistical fiber misalignment on predicted damage initiation in composites

Bednarcyk

Aboudi

Arnold

2014

Composites Part B: Engineering

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a b s t r a c tA micromechanical method is employed for the prediction of unidirectional composites in which the fiber orientation can possess various statistical misalignment distributions. The method relies on the probability-weighted averaging of the appropriate concentration tensors, which are established by the micromechanical procedure. This approach provides access to the local field quantities throughout the constituents, from which initiation of damage in the composite can be predicted. In contrast, a typical macromechanical procedure can determine the effective composite elastic properties in the presence of statistical fiber misalignment, but cannot provide the local fields. Fully random fiber distribution is presented as a special case using the proposed micromechanical method. Results are given that illustrate the effects of various amounts of fiber misalignment in terms of the standard deviations of in-plane and out-of-plane misalignment angles, where normal distributions have been employed. Damage initiation envelopes, local fields, effective moduli, and strengths are predicted for polymer and ceramic matrix composites with given normal distributions of misalignment angles, as well as fully random fiber orientation.Published by Elsevier Ltd.

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Progressive failure of a unidirectional fiber-reinforced composite using the method of cells: Discretization objective computational results

Cited by 79 publications

References 39 publications

Mesh-objective two-scale finite element analysis of damage and failure in ceramic matrix composites

Mesh-objective two-scale finite element analysis of damage and failure in ceramic matrix composites

Stochastic Virtual Tests for High-Temperature Ceramic Matrix Composites

The effect of general statistical fiber misalignment on predicted damage initiation in composites

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