Hierarchical micromechanical modeling of the viscoelastic behavior coupled to damage in SMC and SMC-hybrid composites

Anagnostou, Dimitrios S.; Chatzigeorgiou, Georges; Chemisky, Yves; Meraghni, Fodil

doi:10.1016/j.compositesb.2018.05.053

Cited by 25 publications

(13 citation statements)

References 69 publications

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“…Recent progress in materials science and nanotechnology has opened new possibilities in the production of new types of nano-and micro-structured materials with improved functions and properties [1][2][3][4][5][6][7], thus providing links to both deterministic classical mechanics and chaotic quantum mechanics [8,9]. Since the physical characteristics greatly depend on their structure, one of the main challenges in the field of materials science is to understand the correlation between them on a broad spectrum of length scales, starting from atomic level.…”

Section: Introductionmentioning

confidence: 99%

Structural Properties of Vicsek-like Deterministic Multifractals

et al. 2019

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Deterministic nano-fractal structures have recently emerged, displaying huge potential for the fabrication of complex materials with predefined physical properties and functionalities. Exploiting the structural properties of fractals, such as symmetry and self-similarity, could greatly extend the applicability of such materials. Analyses of small-angle scattering (SAS) curves from deterministic fractal models with a single scaling factor have allowed the obtaining of valuable fractal properties but they are insufficient to describe non-uniform structures with rich scaling properties such as fractals with multiple scaling factors. To extract additional information about this class of fractal structures we performed an analysis of multifractal spectra and SAS intensity of a representative fractal model with two scaling factors-termed Vicsek-like fractal. We observed that the box-counting fractal dimension in multifractal spectra coincide with the scattering exponent of SAS curves in mass-fractal regions. Our analyses further revealed transitions from heterogeneous to homogeneous structures accompanied by changes from short to long-range mass-fractal regions. These transitions are explained in terms of the relative values of the scaling factors.

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Section: Introductionmentioning

confidence: 99%

Structural Properties of Vicsek-like Deterministic Multifractals

et al. 2019

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“…Implementing equations (22), (23), and (24) in equations (20) and (21) yields the average strain inside the inhomogeneity and the coating layer,…”

Section: Transverse Shear Strain Conditionsmentioning

confidence: 99%

“…The advantage of these methods is that they provide analytical or semi-analytical formulas, which drastically reduce the computational cost. Computational strategies using the Mori-Tanaka, self-consistent, and similar types of method have been developed to study composites undergoing viscoelastic, elastoplastic, viscoplastic, or damaged mechanisms [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24].An important factor for correctly identifying the overall response of the composite is the proper characterization of the interface between material phases. It is very common in composite materials that the interface between the matrix and the reinforcement has its own behavior, which is usually weaker than both materials.…”

mentioning

confidence: 99%

Elastic and inelastic local strain fields in composites with coated fibers or particles: theory and validation

Chatzigeorgiou¹,

Meraghni²

2019

Mathematics and Mechanics of Solids

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This paper deals with mean field multiscale approaches for coated fiber-or particle-reinforced composites under nonlinear strain. The current work attempts to extend Dvorak's well-known transformation field analysis for mean field approaches, in which the composite's constitutive law is split into an elastic and an inelastic part. The classical Eshelby's inhomogeneity problem considering eigenstrains is revisited in order to address the presence of a coating layer. For this scope, three different methodologies are employed, one for general ellipsoidal inhomogeneities, a modified composite cylinder method for long cylindrical fibers and a modified composite sphere method for spherical particles. After identifying proper interaction tensors for the inhomogeneity and its coating layer, the composite's overall response is evaluated by extending classical mean field techniques, such as the Mori-Tanaka and the self-consistent methods. Numerical examples illustrate the differences in macroscopic and microscopic predictions between the general approach and the modified composite cylinder and sphere Assemblages.Eshelby's well-known equivalence principle [8]. The advantage of these methods is that they provide analytical or semi-analytical formulas, which drastically reduce the computational cost. Computational strategies using the Mori-Tanaka, self-consistent, and similar types of method have been developed to study composites undergoing viscoelastic, elastoplastic, viscoplastic, or damaged mechanisms [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24].An important factor for correctly identifying the overall response of the composite is the proper characterization of the interface between material phases. It is very common in composite materials that the interface between the matrix and the reinforcement has its own behavior, which is usually weaker than both materials. In that sense, one can treat such an interface (or interphase) as a separate material phase with its own constitutive law. Mean field and homogenization methods accounting for interphase layers between the matrix and the reinforcement have been proposed by several authors [25][26][27][28][29][30]. In most of these studies, however, the developed frameworks are limited to the elastic response. Recently, a new self-consistent scheme has been proposed [31] for multi-coated particulate-or fiber-reinforced composites experiencing nonlinear behavior. This approach utilizes the transformation field analysis theory of Dvorak and coworkers [32][33][34] in order to split the overall composite behavior into an elastic and an inelastic part.In the present work, the scope is to study the local and global behavior of multi-coated particulateor fiber-reinforced composites with a nonlinear response. To achieve this goal, in the first step the Eshelby's inhomogeneity problem is revisited, considering the presence of a coating layer between the inhomogeneity and the infinite matrix and nonlinear strains in the form of eigenstrains at all phases. The problem is ...

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“…; 60 and Anagnostou et al. 61 Since the Mori–Tanaka scheme exhibits generally limitation with respect to its application, an HS-based method is used in this work. In Appendix 1, the limitations of the Mori–Tanaka method are shortly addressed.…”

Section: Introductionmentioning

confidence: 99%

Mean-field homogenization of thermoelastic material properties of a long fiber-reinforced thermoset and experimental investigation

Kehrer

Wood

Böhlke

2020

Journal of Composite Materials

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Fiber-reinforced polymers contribute significantly to weight-reducing components for various industrial applications. A discontinuous glass fiber-reinforced thermoset resin is considered which is produced by the sheet molding compound (SMC) process. Related to the production process, the samples considered in this work exhibit an anisotropic fiber orientation distribution which highly affects the thermomechanical properties. The thermoviscoelastic material behavior of three selected samples is characterized by means of dynamic mechanical analysis. These tests show the temperature-dependent elastic modulus and the glass transition of the composite. Measurements of the thermal expansion of the SMC composite provide data on the coefficient of thermal expansion (CTE). These experimental investigations provide data for the thermoelastic material modeling. Aiming at the prediction of the effective thermal and mechanical properties, a Hashin–Shtrikman-based homogenization method is presented. Based on an eigenstrain formulation, the effective Young’s modulus and CTE are computed in two steps. Moreover, the mean-field method is given in dependence of a variable reference stiffness allowing to tailor the approach to the material system. The influence of this variable reference stiffness on the effective quantities as well as the predicted behavior is analyzed with respect to the experiments. The presented numerical results are in good agreement with the experimental data.

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Hierarchical micromechanical modeling of the viscoelastic behavior coupled to damage in SMC and SMC-hybrid composites

Cited by 25 publications

References 69 publications

Structural Properties of Vicsek-like Deterministic Multifractals

Structural Properties of Vicsek-like Deterministic Multifractals

Elastic and inelastic local strain fields in composites with coated fibers or particles: theory and validation

Mean-field homogenization of thermoelastic material properties of a long fiber-reinforced thermoset and experimental investigation

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