Fully coupled thermo-viscoplastic analysis of composite structures by means of multi-scale three-dimensional finite element computations

Tikarrouchine, El-Hadi; Chatzigeorgiou, Georges; Chemisky, Yves; Meraghni, Fodil

doi:10.1016/j.ijsolstr.2019.01.018

Cited by 27 publications

(31 citation statements)

References 44 publications

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“…In a computationally cheaper strategy, the multi-scale model could also be utilized to generate a ‘virtual tests’ in a view of identifying purely phenomenological models for the composite (Achour, 2017; Garoz et al., 2017; Sodhani et al., 2018). Another perspective would be to extend the proposed multi-scale model to fully coupled thermomechanical analyses (Chatzigeorgiou et al., 2016, 2018; Tikarrouchine et al., 2019). This would allow accounting for the self-heating phenomenon, which may be an important aspect, especially under cyclic loading.…”

Section: Discussionmentioning

confidence: 99%

“…Among the main perspectives of this work, the present multi-scale model could be implemented into the FE 2 computational scheme (Asada and Ohno, 2007; Feyel, 2003; Tchalla et al., 2013; Tikarrouchine et al., 2018, 2019), for performing large-scale structure analyses. In a computationally cheaper strategy, the multi-scale model could also be utilized to generate a ‘virtual tests’ in a view of identifying purely phenomenological models for the composite (Achour, 2017; Garoz et al., 2017; Sodhani et al., 2018).…”

Section: Discussionmentioning

confidence: 99%

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Fully integrated multi-scale modelling of damage and time-dependency in thermoplastic-based woven composites

Praud

Chatzigeorgiou

Meraghni

2020

International Journal of Damage Mechanics

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In this work, a multi-scale model established from the concept of periodic homogenization is utilized to predict the cyclic and time-dependent response of thermoplastic-based woven composites. The macroscopic behaviour of the composite is determined from finite element simulations of the representative unit cell of the periodic microstructure, where the local non-linear constitutive laws of the components are directly integrated, namely, the matrix and the yarns. The thermoplastic matrix is described by a phenomenological multi-mechanisms constitutive model accounting for viscoelasticity, viscoplasticity and ductile damage. For the yarns, a hybrid micromechanical–phenomenological constitutive model accounting for anisotropic damage and anelasticity induced by the presence of a diffuse micro-crack network is utilized. The capabilities of the overall multi-scale model are validated by comparing the numerical predictions with experimental data. Further illustrative examples are also provided, where the composite undergoes time-dependent deformations under uni-axial and non-proportional multi-axial loading paths. The multi-scale model is also employed to analyze the influence of the local deformation processes on the macroscopic response of the composite.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Fully integrated multi-scale modelling of damage and time-dependency in thermoplastic-based woven composites

Praud

Chatzigeorgiou

Meraghni

2020

International Journal of Damage Mechanics

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“…Section 3. Many commonly used thermomechanical material models, such as viscoelasticity, 11 elastoplasticity, 5 and viscoplasticity 40 feature a free energy in the form of (3). The heat capacity density at constant strain

c_{ε} = - \overline{θ} \frac{\partial^{2} ψ}{\partial {\overline{θ}}^{2}},

is typically assumed to be independent of strain ε and internal state z .…”

Section: First‐order Homogenization Of Thermomechanical Compositesmentioning

confidence: 99%

“…Hence, we denote

𝒮 = - {div}_{\overset{true‾}{x}} {⟨ q ⟩}_{Y}

and treat

𝒮

and

\overset{true‾}{ε}

as boundary conditions. For a treatment in a concurrent multiscale context, cf., for example, Chatzigeorgiou et al 5 or Tikkarrouchine et al 11 …”

Section: First‐order Homogenization Of Thermomechanical Compositesmentioning

confidence: 99%

“…As a result, the thermomechanical problem on the microscale may be solved for a homogeneous temperature and is decoupled from microscopic heat‐conduction. Based on these results, Tikkarrouchine et al 11 homogenized unidirectional short‐fiber structures with temperature‐independent material parameters in the context of concurrent multiscale simulations, using the finite element (FE)‐software ABAQUS. Similar FE‐based multiscale studies which still consider thermal conduction on the microscale were carried out by Özdemir et al 12 for elastoplasticity and Li et al 13 for single‐crystal elastoviscoplasticity.…”

Section: Introductionmentioning

confidence: 99%

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Computing the effective response of heterogeneous materials with thermomechanically coupled constituents by an implicit fast Fourier transform‐based approach

Wicht

Schneider

Böhlke

2020

Int J Numer Methods Eng

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Thermomechanical couplings are present in many materials and should therefore be considered in multiscale approaches. Specific cases of thermomechanical behavior are the isothermal and the adiabatic regime, in which the behavior of real materials differs. Based on the consistent asymptotic homogenization framework for thermomechanically coupled generalized standard materials, the present work is devoted to computing the effective thermomechanical behavior of composite materials in the context of fast Fourier transform (FFT)-based micromechanics. Exploiting the homogeneity of the temperature on the microscale, we develop a fast implicit staggered solution scheme for the coupled problem, which is compatible to existing strain-based micromechanics solvers. Due to its implicit formulation, the algorithm permits large time steps for computations involving strong thermomechanical coupling. We investigate the performance of modern FFT-based algorithms combined with the proposed thermomechanical solution strategy. In this context, the Barzilai-Borwein method is identified as particularly efficient, inducing only a small overhead compared with the traditional isothermal setting. We demonstrate the effectiveness of the presented approach for short-fiber reinforced composites with viscoelastic matrix behavior.

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Multiscale analysis of thermal problems in heterogeneous materials with Direct FE² method

Zhi

Raju

Tay

et al. 2021

Numerical Meth Engineering

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Multiscale thermal analysis is motivated by efficient modeling of complex microstructural response (nonlinear conduction, transient conduction, coupled thermomechanics, etc.) without resorting to fully resolved simulations, direct numerical simulation (DNS). It is typically conducted with an FE2 method that couples two levels of finite element simulations in a nested manner. This article presents a Direct FE2 method for modeling heat transfer problems in heterogeneous solids. The proposed method is developed based on the same theoretical framework as the FE2 method, namely downscaling and upscaling rules. However, the scale transitions are achieved through temperature/nodal thermal force in Direct FE2 rather than temperature gradient/heat flux in common FE2 implementations. The two‐level simulations can be solved in a monolithic scheme where the macroscopic and microscopic DOFs are coupled through multi‐point constraints. This feature allows an easy implementation in standard FE packages without resorting to repeated transfer of data between two scales. For transient thermal problems, the implementation provides an option to either incorporate or exclude thermal inertial effects and heat generation at the microscale. The performance of the Direct FE2 is demonstrated by several numerical examples including coupled thermal‐mechanical analysis and transient heat conduction, and the results are compared with DNSs.

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Fully coupled thermo-viscoplastic analysis of composite structures by means of multi-scale three-dimensional finite element computations

Cited by 27 publications

References 44 publications

Fully integrated multi-scale modelling of damage and time-dependency in thermoplastic-based woven composites

Fully integrated multi-scale modelling of damage and time-dependency in thermoplastic-based woven composites

Computing the effective response of heterogeneous materials with thermomechanically coupled constituents by an implicit fast Fourier transform‐based approach

Multiscale analysis of thermal problems in heterogeneous materials with Direct FE² method

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Fully coupled thermo-viscoplastic analysis of composite structures by means of multi-scale three-dimensional finite element computations

Cited by 27 publications

References 44 publications

Fully integrated multi-scale modelling of damage and time-dependency in thermoplastic-based woven composites

Fully integrated multi-scale modelling of damage and time-dependency in thermoplastic-based woven composites

Computing the effective response of heterogeneous materials with thermomechanically coupled constituents by an implicit fast Fourier transform‐based approach

Multiscale analysis of thermal problems in heterogeneous materials with Direct FE2 method

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Multiscale analysis of thermal problems in heterogeneous materials with Direct FE² method