“…Similar approximation has been considered in Praud et al (2017) and the comparisons with experimental data showed excellent accuracy in the direction parallel to fibers, and quite satisfactory representation of the response normal to the fibers direction. This observation permits to simplify this step of homogenization, by assuming that, only for this case, the matrix also behaves elastically inside the bundle before damage occurs.…”
Section: First Homogenizationmentioning
confidence: 59%
“…Damage can appear at the matrix phase, at the interfaces between matrix and fibers or matrix and bundles, or at the fibers themselves. As mentioned in the introduction, this work attempts to integrate damage that is observed at the level of the bundles by using a hybrid phenomenological-micromechanical model, developed by Praud et al (2017). It should be pointed out that the damage model in this work is a "brick" that can be easily interchanged with another damage model.…”
Section: B Bundles Containing Microcracksmentioning
confidence: 99%
“…It should be pointed out that the damage model in this work is a "brick" that can be easily interchanged with another damage model. Since the Praud et al (2017) damage law is quite complicated and has already been published elsewhere, only the general description of the model is presented here. In fact, this constitutive law for fiber bundles has been experimentally validated in natural fibers multi-directional laminate composites.…”
Section: B Bundles Containing Microcracksmentioning
confidence: 99%
“…Damage mechanisms in this type of composites can occur at different levels (matrix, fibers, fiber bundles, interfaces) and they can be taken into account with various ways (Fitoussi et al, 1998;Derrien et al, 2000;Morozov et al, 2003;Jendli et al, 2004Jendli et al, , 2009. In this study, it is chosen to incorporate damage at the glass bundles using a recently developed hybrid phenomenological-micromechanical model (Praud et al, 2017).…”
Section: Involved Constituent Materials and Their Propertiesmentioning
confidence: 99%
“…Microcracks are initiated due to the debonding of the fiber-matrix interface and propagate by coalescence. The hybrid model of Praud et al (2017) considers that initially the unidirectional composite is elastic, whose elasticity tensor C 0 is provided by any micromechanics approach (in this work the CCM is considered for the bundles). Then, as the loading increases, penny-shape micro-cracks start to be formed ( Figure 5).…”
Section: B Bundles Containing Microcracksmentioning
is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible.
AbstractThe aim of this paper is to study, through a multiscale analysis, the viscoelastic behavior of glass reinforced sheet molding compound (SMC) composites and SMC-hybrid composites mixing two types of bundle reinforcement: glass and carbon fibers. SMC exhibit more than two distinct characteristic length scales, so that a sequence of scale transitions is required to obtain the overall behavior of the composite. An analytical procedure is used consisting of properly selected well-established micromechanical methods like the Mori-Tanaka (MTM) and the composite cylinders (CCM) accounting for each scale transition. After selecting a representative volume element (RVE) for each scale, the material response of any given length scale is described on the basis of the homogenized behavior of the next finer one. This hierarchical approach is appropriately extended to the viscoelastic domain to account for the time dependent overall response of the SMC composite material. The anisotropic damage has been introduced through a micromechanical model considering matrix penny-shape microcrack density inside bundles. The capabilities of the hierarchical modeling are illustrated with various parametric studies and simulation of experimental data for glass-based SMC composites.
“…Similar approximation has been considered in Praud et al (2017) and the comparisons with experimental data showed excellent accuracy in the direction parallel to fibers, and quite satisfactory representation of the response normal to the fibers direction. This observation permits to simplify this step of homogenization, by assuming that, only for this case, the matrix also behaves elastically inside the bundle before damage occurs.…”
Section: First Homogenizationmentioning
confidence: 59%
“…Damage can appear at the matrix phase, at the interfaces between matrix and fibers or matrix and bundles, or at the fibers themselves. As mentioned in the introduction, this work attempts to integrate damage that is observed at the level of the bundles by using a hybrid phenomenological-micromechanical model, developed by Praud et al (2017). It should be pointed out that the damage model in this work is a "brick" that can be easily interchanged with another damage model.…”
Section: B Bundles Containing Microcracksmentioning
confidence: 99%
“…It should be pointed out that the damage model in this work is a "brick" that can be easily interchanged with another damage model. Since the Praud et al (2017) damage law is quite complicated and has already been published elsewhere, only the general description of the model is presented here. In fact, this constitutive law for fiber bundles has been experimentally validated in natural fibers multi-directional laminate composites.…”
Section: B Bundles Containing Microcracksmentioning
confidence: 99%
“…Damage mechanisms in this type of composites can occur at different levels (matrix, fibers, fiber bundles, interfaces) and they can be taken into account with various ways (Fitoussi et al, 1998;Derrien et al, 2000;Morozov et al, 2003;Jendli et al, 2004Jendli et al, , 2009. In this study, it is chosen to incorporate damage at the glass bundles using a recently developed hybrid phenomenological-micromechanical model (Praud et al, 2017).…”
Section: Involved Constituent Materials and Their Propertiesmentioning
confidence: 99%
“…Microcracks are initiated due to the debonding of the fiber-matrix interface and propagate by coalescence. The hybrid model of Praud et al (2017) considers that initially the unidirectional composite is elastic, whose elasticity tensor C 0 is provided by any micromechanics approach (in this work the CCM is considered for the bundles). Then, as the loading increases, penny-shape micro-cracks start to be formed ( Figure 5).…”
Section: B Bundles Containing Microcracksmentioning
is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible.
AbstractThe aim of this paper is to study, through a multiscale analysis, the viscoelastic behavior of glass reinforced sheet molding compound (SMC) composites and SMC-hybrid composites mixing two types of bundle reinforcement: glass and carbon fibers. SMC exhibit more than two distinct characteristic length scales, so that a sequence of scale transitions is required to obtain the overall behavior of the composite. An analytical procedure is used consisting of properly selected well-established micromechanical methods like the Mori-Tanaka (MTM) and the composite cylinders (CCM) accounting for each scale transition. After selecting a representative volume element (RVE) for each scale, the material response of any given length scale is described on the basis of the homogenized behavior of the next finer one. This hierarchical approach is appropriately extended to the viscoelastic domain to account for the time dependent overall response of the SMC composite material. The anisotropic damage has been introduced through a micromechanical model considering matrix penny-shape microcrack density inside bundles. The capabilities of the hierarchical modeling are illustrated with various parametric studies and simulation of experimental data for glass-based SMC composites.
In this article, an investigation was carried out to verify hybrid models capabilities to predict the effective properties of heterogeneous materials. A hybrid model ANN−φ is developed by combining artificial neural networks and micromechanical modeling. The homogenization approach used in this study is mainly based on Eshelby's inclusion problem. The ANN−φ model, once trained on an Eshelby's tensors database, showed an excellent predictive capabilities of the effective mechanical behavior and local stresses in heterogeneous materials. The obtained results with ANN−φ are compared to numerical estimations which are often costly in terms of computational time. The results presented in this work show that the developed hybrid model can provide a significant computational time saving by a factor up to 2000 for 104 phases while maintaining its accuracy and reliability.
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