Phase field modeling of fracture in fiber reinforced composite laminate

Zhang, Peng; Hu, Xiaofei; Bui, Tinh Quoc; Yao, Weian

doi:10.1016/j.ijmecsci.2019.07.007

Cited by 86 publications

(47 citation statements)

References 66 publications

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“…Driven by the derivations provided in [75,59] and also in [65,14,76] for composite materials, we begin by introducing a structural tensor A in the definition of the functional γ(φ, ∇φ) (see, Eq. (4))…”

Section: Isotropic Cohesive Phase-field Modelmentioning

confidence: 99%

An anisotropic cohesive phase field model for quasi-brittle fractures in thin fibre-reinforced composites

Pillai

Triantafyllou

Essa

et al. 2020

Composite Structures

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Thin unidirectional-tape and woven-fabric composites are widely utilized in the aerospace and automotive industries due to their enhanced fatigue life and damage resistance. Providing high-fidelity simulations of intra-laminar damage in such laminates is a challenging task both from a physics and a computational standpoint, due to their complex and largely quasi-brittle fracture response. This is manifested by matrix cracking and fibre breakage, which result in a sudden loss of strength with minimum crack openings; subsequent fibre pull-outs result in a further, although gradual, strength loss. To effectively model this response, it is necessary to account for the cohesive forces evolving within the fracture process zone. Furthermore, the interaction of the failure mechanisms pertinent to both the fibres and the matrix necessitate the definition of anisotropic damage models.We propose a cohesive phase-field model to simulate intra-laminar fracture in fibre reinforced composites. To capture damage anisotropy, distinct energetic crack driving forces are defined for each pertinent composite damage mode together with a structural tensor that accounts for material orientation dependent fracture properties. The material degradation is governed by a 3-parameter quasi-quadratic degradation function, which can be calibrated to experimentally derived strain softening curves. The proposed damage model is implemented in Abaqus and is validated against experimental results.

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Section: Isotropic Cohesive Phase-field Modelmentioning

confidence: 99%

An anisotropic cohesive phase field model for quasi-brittle fractures in thin fibre-reinforced composites

Pillai

Triantafyllou

Essa

et al. 2020

Composite Structures

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“…To model stirrups, steel, and GFRP and CFRP bars, the element type of 3D deformable wire (truss element) was employed. In addition, as recommended by other researchers [33,38,39,40,41,42], the element type of three-dimensional (3D) hexahedral element, with 8 nodes and reduced integration (C3D8R) was used to simulate the concrete beam, grout, sleeve, and rigid sections.…”

Section: Components Of Numerical Models and Features Of Element Typementioning

confidence: 99%

Non-linear behaviour of concrete beams reinforced with GFRP and CFRP bars grouted in sleeves

Kazemi

Harehdasht

et al. 2020

Structures

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The low-quality bond between fibre reinforced polymer (FRP) bars and surrounding concrete has drawn the attention of many researchers. The use of high-strength materials such as the grout in the intersection of FRP bars and surrounding concrete can effectively prevent any slippage once they are in contact and subsequently increase the bond quality. Therefore, this study was numerically focused on the flexural behaviour of concrete beams reinforced with glass fibre reinforced polymer (GFRP) and carbon fibre reinforced polymer (CFRP) bars, grouted only in the pure bending zone and along the whole beam length. The numerical outputs revealed that the grouted GFRP bars propagated the maximum principal stress in high-strength concrete beams, but not as much as that in normal-strength concrete specimens. In addition, the stress distribution in the grout, created only in the pure bending zone, was nearly constant at the ultimate moment.For the grout, developed along the whole beam length, this stress increased by approaching the mid-span of the concrete beam. Furthermore, at the ultimate moment, the tensile stress of 12-mm diameter CFRP bars was about 3.5 times more than that of the 16-mm diameter CFRP bars, leading to the generation of difference between failure modes of concrete specimens reinforced with various diameters of CFRP bars.

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“…The method requires a fine mesh along the crack path and a suitable definition for regularization parameters (see a discussion in [24] and recent internal length-insensitive formulations in [25,26]). However, due to the above-mentioned advantages, the phase field method has been widely developed and applied to many problems, such as, among many others: brittle fracture [23,27,28], composite delamination [29], dynamic fracture [30][31][32], hydraulic fracture [33][34][35][36], topology optimization for resistance to cracking [3,4], anisotropic material fracture [37][38][39], ductile fracture [40][41][42][43][44], ductile/fragile transition [45,46], fracture in micro tomography image-based models of microstructures [5,6,47] and more recently adapted in machine learning strategies in [48].…”

Section: Introductionmentioning

confidence: 99%

An extension of the phase field method to model interactions between interfacial damage and brittle fracture in elastoplastic composites

Yvonnet

Combescure

2020

International Journal of Mechanical Sciences

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An extension of the phase field method to model interfacial damage in elastoplastic composites is proposed. In the matrix, an elastoplastic phase field is employed to model the fracture process. To introduce interfacial damage between inclusions and the matrix, a strain density function depending on the jump due to decohesion is added to the total energy. Smooth indicator functions are used to maintain the regularized character of the approximation. They weight the different terms in the energy with respect to the vicinity of interfaces. Then, the different problems (mechanical and phase field problems) are derived and an algorithmic procedure is described. Numerical examples show the capabilities of the method to handle initiation, propagation and interactions between both elastoplastic fracture and interfacial cracks in complex elastoplastic composite microstructures. It is also shown that the solutions are convergent with respect to the mesh refinement.

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Phase field modeling of fracture in fiber reinforced composite laminate

Cited by 86 publications

References 66 publications

An anisotropic cohesive phase field model for quasi-brittle fractures in thin fibre-reinforced composites

An anisotropic cohesive phase field model for quasi-brittle fractures in thin fibre-reinforced composites

Non-linear behaviour of concrete beams reinforced with GFRP and CFRP bars grouted in sleeves

An extension of the phase field method to model interactions between interfacial damage and brittle fracture in elastoplastic composites

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