An augmented cohesive zone element for arbitrary crack coalescence and bifurcation in heterogeneous materials

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

doi:10.1002/nme.3200

Cited by 66 publications

(49 citation statements)

References 50 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, Fang et al [33] indicated that traditional cohesive elements used in conjunction with XFEM modeling intra-element cracking could not capture the load transfer between the interface elements and solid elements when crack bifurcation or coalescence occurs in heterogeneous materials. This phenomenon was also observed in debonding analyses that simulate the fiber/ matrix interface using a thin cohesive layer made up of cohesive elements, as shown in Fig.…”

Section: Czm For Fiber/matrix Debondingmentioning

confidence: 99%

A Numerical Method for Simulating the Microscopic Damage Evolution in Composites Under Uniaxial Transverse Tension

et al. 2015

View full text Add to dashboard Cite

In this paper, a new numerical method that combines a surface-based cohesive model and extended finite element method (XFEM) without predefining the crack paths is presented to simulate the microscopic damage evolution in composites under uniaxial transverse tension. The proposed method is verified to accurately capture the crack kinking into the matrix after fiber/matrix debonding. A statistical representative volume element (SRVE) under periodic boundary conditions is used to approximate the microstructure of the composites. The interface parameters of the cohesive models are investigated, in which the initial interface stiffness has a great effect on the predictions of the fiber/matrix debonding. The detailed debonding states of SRVE with strong and weak interfaces are compared based on the surfacebased and element-based cohesive models. The mechanism of damage in composites under transverse tension is described as the appearance of the interface cracks and their induced matrix micro-cracking, both of which coalesce into transversal macro-cracks. Good agreement is found between the predictions of the model and the in situ experimental observations, demonstrating the efficiency of the presented model for simulating the microscopic damage evolution in composites.

show abstract

Section: Czm For Fiber/matrix Debondingmentioning

confidence: 99%

A Numerical Method for Simulating the Microscopic Damage Evolution in Composites Under Uniaxial Transverse Tension

et al. 2015

View full text Add to dashboard Cite

show abstract

“…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%

“…Consider the case of Figure 19, which shows simulations of transverse cracks formed by the coalescence of interfacial and matrix microcracks (23). The fiber-scale simulations analyze virtual specimens of random fiber arrays, with distinct cohesive fracture laws operating at fiber/matrix interfaces and within the matrix.…”

Section: Fiber-scale Simulations Predict Tow-scale Fracture Lawsmentioning

confidence: 99%

Stochastic Virtual Tests for High-Temperature Ceramic Matrix Composites

Cox

Bale

Begley

et al. 2014

Annu. Rev. Mater. Res.

View full text Add to dashboard Cite

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

show abstract

“…The original version of the A-FEM and the RxFEM have been successfully used to study multiple arbitrary cracking problems in laminated composites [21,[26][27][28]. In these studies, the coupling between intra-ply cracks and delaminations were done through proper designation of different types of elements for different failure processes, i.e.…”

Section: Introductionmentioning

confidence: 99%

Augmented finite-element method for arbitrary cracking and crack interaction in solids under thermo-mechanical loadings

Jung¹,

C.²,

Yang³

2016

Phil. Trans. R. Soc. A.

Self Cite

View full text Add to dashboard Cite

In this paper, a thermal-mechanical augmented finiteelement method (TM-AFEM) has been proposed, implemented and validated for steady-state and transient, coupled thermal-mechanical analyses of complex materials with explicit consideration of arbitrary evolving cracks. The method permits the derivation of explicit, fully condensed thermalmechanical equilibrium equations which are of mathematical exactness in the piece-wise linear sense. The method has been implemented with a 4-node quadrilateral two-dimensional (2D) element and a 4-node tetrahedron three-dimensional (3D) element. It has been demonstrated, through several numerical examples that the new TM-AFEM can provide significantly improved numerical accuracy and efficiency when dealing with crack propagation problems in 2D and 3D solids under coupled thermalmechanical loading conditions.

show abstract

An augmented cohesive zone element for arbitrary crack coalescence and bifurcation in heterogeneous materials

Cited by 66 publications

References 50 publications

A Numerical Method for Simulating the Microscopic Damage Evolution in Composites Under Uniaxial Transverse Tension

A Numerical Method for Simulating the Microscopic Damage Evolution in Composites Under Uniaxial Transverse Tension

Stochastic Virtual Tests for High-Temperature Ceramic Matrix Composites

Augmented finite-element method for arbitrary cracking and crack interaction in solids under thermo-mechanical loadings

Contact Info

Product

Resources

About