Multiscale analysis of SiC/Ti composites

Carrère, Nicolas; Maire, Jean-François; Kruch, Serge; Chaboche, Jean–Louis

doi:10.1016/j.msea.2003.09.036

Cited by 10 publications

(8 citation statements)

References 7 publications

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“…It can be seen that the terms of order n in the asymptotic expansions for stresses (35), (36) and heat flux (37), (38) depend respectively on the displacement and temperature terms of order n and n + 1. In this way the influence of the local perturbation on the global quantities is accounted for.…”

Section: · · ·mentioning

confidence: 99%

“…In cases where two phases are considered, with one subvolume only for each phase, these quantities A r and D rs (respectively B r and F rs ) can be expressed in closed form by means of Eshelby tensor. Contrarily, when using a decomposition into several sub-domains for each phase, these tensors can be determined by solving a set of linear problems (6 for the concentration tensors and 6N for the influence tensors), by a finite element method (Dvorak,[55], Carrère et al, [36]). …”

Section: The Transformation Fields Analysismentioning

confidence: 99%

See 1 more Smart Citation

Multiscale Methods for Composites: A Review

Kanouté

Boso

Chaboche

et al. 2009

Arch Computat Methods Eng

470

250

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Various multiscale methods are reviewed in the context of modelling mechanical and thermo-mechanical responses of composites. They are developed both at the material level and at the structural analysis level, considering sequential or integrated kinds of approaches. More specifically, such schemes like periodic homogenization or mean field approaches are compared and discussed, especially in the context of non linear behaviour. Some recent developments are considered, both in terms of numerical methods (like FE2) and for more analytical approaches based on Transformation Field Analysis, considering both the homogenization and relocalisation steps in the multiscale methodology. Several examples are shown

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Section: · · ·mentioning

confidence: 99%

Section: The Transformation Fields Analysismentioning

confidence: 99%

Multiscale Methods for Composites: A Review

Kanouté

Boso

Chaboche

et al. 2009

Arch Computat Methods Eng

470

250

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show abstract

“…In their discussion the importance of the cohesive interfaces for structural failure is addressed. Later, the interfacial behavior was considered for the same material system in the context of FE 2 simulations [24]. Another example in which cohesive material behavior is considered as a major mechanism in twoscale problems involving composite materials was examined by Verhoosel et al [25].…”

Section: Introductionmentioning

confidence: 99%

“…Another example in which cohesive material behavior is considered as a major mechanism in twoscale problems involving composite materials was examined by Verhoosel et al [25]. Similar to [24] only two-dimensional microstructures were considered and no reduction of the computational scheme for the microscopic problem was applied. Just recently Drosopoulos et al [23] investigated a problem setting that is very similar to the one studied in the present contribution: they examined a two-dimensional microstructure with circular inclusions and a contact model on the interface by means of a nested finite element technique.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear reduced order homogenization of materials including cohesive interfaces

Fritzen

Leuschner

2015

Comput Mech

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The mechanical response of composite materials is strongly influenced by the nonlinear behavior of the interface between the constituents. In order to make reliable yet computationally efficient predictions for such materials, a reduced order model is developed. Conceptual ideas of the NTFA (Michel and Suquet, Int J Solids Struct 40: 6937-6955, 2003, Comput Methods Appl Mech Eng 193:5477-5502, 2004) and of the pRBMOR Leuschner Comput Methods Appl Mech Eng 260:143-154, 2013, Fritzen et al., Comput Methods Appl Mech Eng 278:186-217, 2014) are adopted. The key idea is to parameterize the displacement jumps on the cohesive interfaces by a reduced basis of global ansatz functions. Micromechanical considerations and the potential structure of the constitutive models lead to a variational formulation and reduced equilibrium conditions. The effect of the preanalysis phase on the accuracy is investigated using geometrically optimal training directions. The reduced model is tested for three-dimensional microstructures. Besides the effective stress response, the tension-compression asymmetry and the distribution of the separation of the interface are investigated. Memory savings on the order of 10 5 are realized. The computing time is reduced considerably. asymmetry · Potential-based reduced basis model order reduction (pRBMOR)

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“…[6][7][8] Further modeling efforts were focused on predicting the service life of components made of fiber-reinforced Ti from the microstructural characteristics of the material. [9,10] This work was concentrated, however, on the behavior of smooth specimens, while the damage tolerance in the presence of holes and sharp notches received limited attention. [11][12][13][14][15][16] Experimental observations on the damage processes in notched Ti/SiC composite panels have shown that fracture occurs by the formation of a narrow band with intense plasticity ahead of the notch root, in which fibers fracture and are eventually pulled out from the matrix.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of the Fracture Behavior of Ti/SiC Composites between 20 °C and 400 °C

González

LLorca

2007

Metall Mater Trans A

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The fracture behavior of a Ti-6Al-4V matrix uniaxially reinforced with SiC fibers was analyzed between 20°C and 400°C using a multiscale approach that involved the finite element simulation of a three-point bend test on a notched beam of the composite. The material in front of the notch tip was discretized taking into account the actual fiber-matrix topology in the composite panels, while the rest of the beam was assumed to be homogeneous. The numerical simulations took into account the actual deformation and damage mechanisms experimentally observed (matrix plastic deformation, stochastic fiber fracture, and frictional sliding at the fiber/ matrix interface) using the appropriate finite element tools, and the corresponding fiber, matrix, and interfacial properties were independently obtained. The results of the numerical simulations were in good agreement with the experimental load-crack mouth opening displacement (CMOD) curves and reproduced accurately the actual deformation and fracture micromechanisms around the notch tip. Moreover, the apparent fracture toughness of the composite (computed from the maximum load and the initial notch length) was also very close to the experimental values, showing the potential of this multiscale approach to carry out ''virtual'' fracture tests in the computer once the physical mechanisms of deformation and fracture are included in the model and the corresponding micromechanical parameters are carefully measured.

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Multiscale analysis of SiC/Ti composites

Cited by 10 publications

References 7 publications

Multiscale Methods for Composites: A Review

Multiscale Methods for Composites: A Review

Nonlinear reduced order homogenization of materials including cohesive interfaces

Numerical Simulation of the Fracture Behavior of Ti/SiC Composites between 20 °C and 400 °C

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