Micromechanics-based multi-site modeling of elastoplastic behavior of composite materials

Azoti, Wiyao; Koutsawa, Yao; Tchalla, Adjovi; Makradi, A.; Belouettar, Salim

doi:10.1016/j.ijsolstr.2015.02.002

Cited by 19 publications

(18 citation statements)

References 30 publications

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“…General considerations on Mori-Tanaka scheme can be found in works by Azoti et al [46]. Therefore, the MT effective properties are given by:…”

Section: Modified Mori-tanaka Scheme For Overall Responsesmentioning

confidence: 99%

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Constitutive modelling of ductile damage matrix reinforced by platelets-like particles with imperfect interfaces: Application to graphene polymer nanocomposite materials

Azoti¹,

Elmarakbi²

2017

Composites Part B: Engineering

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In this paper, the mechanical response of composites consisting of ductile matrix reinforced by platelets-like particles is derived with imperfect interfaces. Due to its flexibility to study imperfect interfaces with limited number of model parameters, the linear spring model LSM is considered.Moreover, the interfacial contribution to the strain concentration tensor within each material phase and inside the average strain filed is described by a modified Mori-Tanaka scheme. The material nonlinearity is established by the J 2 plasticity and Lemaitre-Chaboche damage model. A generalised mid-point rule is used to solve rate equations yielding to anisotropic consistent (algorithmic) tangent operators. To avoid spurious macroscopic stress-strain response, an isotropisation procedure is adopted during the computation of a modified Eshelby's tensor. Numerical results are performed on graphene platelets GPL-reinforced polymer PA6 composite. They confirm the possibility to achieve high stiffness with low values of GPL aspect ratio. The accumulated plastic strain and the damage variable within the matrix are influenced by the GPL volume fraction which is also involved in the softening of the overall response when imperfection is considered at the interface.

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“…General considerations on Mori-Tanaka scheme can be found in works by Azoti et al [46]. Therefore, the MT effective properties are given by:…”

Section: Modified Mori-tanaka Scheme For Overall Responsesmentioning

confidence: 99%

“…(5) and derivations in [46], one can demonstrate the following relationship between the average strain within an inclusion and the matrix such as:…”

Section: Modified Mori-tanaka Scheme For Overall Responsesmentioning

confidence: 99%

Constitutive modelling of ductile damage matrix reinforced by platelets-like particles with imperfect interfaces: Application to graphene polymer nanocomposite materials

Azoti¹,

Elmarakbi²

2017

Composites Part B: Engineering

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“…General considerations on Mori-Tanaka scheme can be found in works by Azoti et al [37]. Therefore, the MT effective properties are given by:…”

Section: Modified Mori-tanaka Scheme For Overall Responsesmentioning

confidence: 99%

“…The solution of the heterogeneous material problem is obtained by the kinematic integral equation of Dederichs and Zeller [36]. The non linear framework, which is that recently used by Azoti et al [37,38], is based on a Hill-type incremental formulation and the classical J 2 flow rule. Therefore, for each phase, the consistent (algorithmic) tangent operator is obtained from the continuum (elasto-plastic) tangent operator and thus from works by Doghri and Ouaar [39].…”

Section: Introductionmentioning

confidence: 99%

Multiscale modelling of graphene platelets-based nanocomposite materials

Azoti

Elmarakbi

2017

Composite Structures

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This work presents a multiscale framework for the elasto-plastic response of platelets-like inclusions reinforced nanocomposite materials. The solution of the heterogeneous material problem is solved by a kinematic integral equation. An imperfect interface is introduced between the particles and the matrix through a linear spring model LSM, leading to a modified Eshelby's tensor. The interfacial contribution, related to the strain concentration tensor within each material phase and inside the average strain field, is described by a modified Mori-Tanaka scheme. The non-linear response is established in the framework of the J 2 flow rule. An expression of the algorithmic tangent operator for each phase is obtained and used as an uniform modulus for homogenisation purpose. Numerical results are conducted on graphene platelets GPL-reinforced polymer PA6 composite for several design parameters such as GPL volume fraction, aspect ratio and the interfacial compliance. These results clearly highlight the impact of the aspect ratio as well as the volume fraction by a softening in the overall response when imperfection is considered at the interface. Finally, a multiscale simulation is performed on a three bending specimen showing the capability of the developed constitutive equations to be implemented in a finite element FE code. fillers (such as glass or carbon fibres). Graphene has been used to enhance mechanical properties of metal matrix composites [2] for instance in aluminum composite materials where a small amount of graphene nanosheets GNS or even reduced graphene oxide rGO could therefore increase the overall composite physical properties greatly [3]. From a multiscale view point, an approach, for deriving such properties, lies in the combination of molecular mechanics theories and continuum models. The graphene properties are often derived at atomistic scale and the nano particles are treated as equivalent continuum particles [4,5] that are embedded in the matrix phase through conventional homogenisation techniques.Despite graphene has been used to increase stiffness, toughness and thermal conductivity of polymer resins by a large margin [6-9], there are still much technological challenges to overcome mainly in the material modelling. This is characterised by the lack of sufficient knowledge on graphene composites for structural applications describing interfacial properties between graphene and polymer matrix under severe loading conditions. It is well-known that the interface characterises the load transfer between the particles/fibres and the matrix. Therefore, it represents an influential parameter that can significantly change the overall properties. Indeed, interface is subjected to defects (debonding, dislocations and cracks) between reinforcements and the matrix and can be identified as one of the predominant damage mechanics in particle and fibre-reinforced composites [10].Then, the accuracy of the composite response needs a proper accounting for the properties of the interface. Several micromechanics m...

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“…Mori-Tanaka MT[19] assumptions, the global strain concentration tensor of the matrix is expressed as[18,20]:…”

mentioning

confidence: 99%

Mechanical Prediction of Graphene-Based Polymer Nanocomposites for Energy-Efficient and Safe Vehicles

Elmarakbi¹,

Azoti²

2018

Experimental Characterization, Predictive Mechanical and Thermal Modeling of Nanostructures and Their Polymer Composites

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Elmarakbi, Ahmed and Azoti, Wiyao (2018) Mechanical prediction of graphene based polymer nanocomposites for energyefficient and safe vehicles. In: Experimental characterization, predictive mechanical and thermal modeling of nanostructures and their polymer composites. Micro and Nano Technologies . Elsevier, pp. 159177. ISBN 9780323480611 Downloaded from: AbstractThis work investigates efficient ways of lightweighting vehicles structures based on Graphene Related materials (GRMs). An integration of Graphene as polymer reinforcements within composite materials for energy-efficient and safe vehicles (EESVs) is addressed with respect to some technological challenges for instance the lack of constitutive material models for high performance structural applications. Therefore, accurate material models need to be developed to support simulation of structural design for these vehicles. A multi-scale modelling of Graphene reinforced polymer composite is elaborated and using the Mori-Tanaka micro-mechanics scheme, the effective non-linear behaviour is predicted for various micro-parameters such as the aspect ratio and volume fractions. The results show an enhancement of the equivalent macro stress-strain response when the aspect ratio is low corresponding to platelets-like inclusions. Also, the volume fraction is seen to have a good improvement on the composite response. The results highlight the effect of Graphene platelets versus Carbon and Glass fibres in the design of lightweight structures with enhanced mechanical responses and by consequence a CO 2 emissions reduction.

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Micromechanics-based multi-site modeling of elastoplastic behavior of composite materials

Cited by 19 publications

References 30 publications

Constitutive modelling of ductile damage matrix reinforced by platelets-like particles with imperfect interfaces: Application to graphene polymer nanocomposite materials

Constitutive modelling of ductile damage matrix reinforced by platelets-like particles with imperfect interfaces: Application to graphene polymer nanocomposite materials

Multiscale modelling of graphene platelets-based nanocomposite materials

Mechanical Prediction of Graphene-Based Polymer Nanocomposites for Energy-Efficient and Safe Vehicles

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