New mean-field homogenization schemes for the constitutive modelling of the elastic and elastoplastic deformation behavior of multi-phase materials

Samadian, Pedram; Butcher, Cliff; Worswick, Michael J.

doi:10.1016/j.mtcomm.2019.100707

Cited by 6 publications

(3 citation statements)

References 23 publications

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“…The bio-composite studied can be modeled numerically and can find applications in the fields of the automotive, computers, construction, household goods, etc. [3]- [5]For this purpose, the finite element method, as opposed to other numerical methods, is the most widely used method and can solve many problems in several applications [6]. It is very robust by combining the largest number of applications and transforming the boundary problem into a variational problem [6].…”

Section: Introductionmentioning

confidence: 99%

Numerical Modeling of the Thermo Mechanical Behavior of a Polymer Reinforced by Horn Fibers

Moumen¹

2020

IJATCSE

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The use of bio-loads in the field of composites has become an essential concern for researchers, as opposed to mineral and classical loads that have dangerous effects on the environment. In this work, a tensile test on a virgin material of animal origin was carried out numerically by the finite element method which was able to confirm the experimental tests. The curves from this simulation mainly considered virgin material in a direction parallel to the fiber direction. The results of the numerical modeling have clearly illustrated that the virgin material has a significant Young modulus in the direction parallel to the fiber, which reinforces the assumptions of the anisotropy of the material of animal origin studied and the high rigidity at the direction of the fibers thanks to the keratin that confers this behavior. This bio load has been mixed with polypropylene for different percentages in order to promote the evolution of its thermo mechanical properties. Numerical modeling by the finite elements characterized the studied bio-composite which can find applications in the fields of the automotive, computers, construction and household articles etc.

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Section: Introductionmentioning

confidence: 99%

Numerical Modeling of the Thermo Mechanical Behavior of a Polymer Reinforced by Horn Fibers

Moumen¹

2020

IJATCSE

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“…In this method, each phase is assumed to follow its own macroscopic thermal-mechanical behaviors. The mean-field theory for effective elastoplastic performances of composite materials has been developed over many years, and can be carried out with analytical methods (Voigt, 1889;Reuss, 1929;Eshelby, 1957;Budiansky and Wu, 1961;Hill, 1965;Mori and Tanaka, 1973;Lielens et al, 1998;Doghri et al, 2011;Abedini and Chen, 2014;Wu et al, 2015) and numerical simulation methods (Hill, 1963;Sun and Vaidya, 1996;Matsuda et al, 2002;Bouhamed et al, 2019;Samadian et al, 2020). There are some classical analytical models for effective elastic properties of composites, such as the upper and lower bounds for elastic modulus proposed by Voigt and Reuss (Voigt, 1889;Reuss, 1929), the Eshelby equivalent inclusion model (Eshelby, 1957), the self-consistent (SC) model (Budiansky and Wu, 1961;Hill, 1965), the Mori-Tanaka model (Mori and Tanaka, 1973), and the Lielens interpolation model (Lielens et al, 1998), among others.…”

Section: Introductionmentioning

confidence: 99%

“…The linearization techniques have also been expanded to study plastic performances (Doghri et al, 2011;Abedini and Chen, 2014;Wu et al, 2015), including the secant-based approach and tangent-based approach. With the development of finite element techniques, direct finite element computations have been used to obtain the effective elastoplastic behavior of composites (Hill, 1963;Sun and Vaidya, 1996;Matsuda et al, 2002;Bouhamed et al, 2019;Samadian et al, 2020), through which the real microstructure of composite materials can be reflected. According to Hill theory (Hill, 1963), a representative volume element (RVE) should be selected to perform the finite element (FE) computation and homogenization process, and the appropriate boundary conditions to ensure periodicity need to be applied on the RVE.…”

Section: Introductionmentioning

confidence: 99%

Research on the Homogenized Postirradiation Elastoplastic Constitutive Relations for Composite Nuclear Fuels

Zhang

Wang

et al. 2021

Front. Mater.

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A multi-scale finite element method is developed to simulate the irradiation process and postirradiation uniaxial tensile tests for metal-matrix composite fuels with representative volume elements (RVEs). The simulations of irradiation process are implemented under a wide range of burnup levels, with the irradiation effects on the mechanical constitutive relations of fuel particles and matrix taken into account comprehensively. The simulation results for the macroscopic postirradiation true stress/strain curves are obtained, excluding the irradiation-induced macroscopic deformations. The effects of particle fission density, temperature, and initial particle volume fraction are investigated and analyzed. The research results indicate that 1) a quasi-elastic stage appears during the postirradiation tension, which is mainly induced by the creation of high residual compressive stresses in the particles and matrix after irradiation; 2) with the increase of effective strains, new plastic deformations increase in the particles and matrix to result in the macroscale plastic stage; 3) the macroscale irradiation softening and hardening phenomena appear, which mainly stem from the weakened deformation resistance by the irradiation-induced plastic deformations in the matrix, the enlarged particle volume fraction after irradiation, and the irradiation hardening effects of metal matrix.

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Multiscale structural analysis of oil rig mast using mean fields and finite element method

Araújo

Rodrigues

Pires

2022

J Braz. Soc. Mech. Sci. Eng.

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New mean-field homogenization schemes for the constitutive modelling of the elastic and elastoplastic deformation behavior of multi-phase materials

Cited by 6 publications

References 23 publications

Numerical Modeling of the Thermo Mechanical Behavior of a Polymer Reinforced by Horn Fibers

Numerical Modeling of the Thermo Mechanical Behavior of a Polymer Reinforced by Horn Fibers

Research on the Homogenized Postirradiation Elastoplastic Constitutive Relations for Composite Nuclear Fuels

Multiscale structural analysis of oil rig mast using mean fields and finite element method

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