Nonlinear thermo-elastic phase-field fracture of thin-walled structures relying on solid shell concepts

Kumar, Pavan Kumar Asur Vijaya; Dean, Aamir; Reinoso, J.; Paggi, Marco

doi:10.1016/j.cma.2022.115096

Cited by 13 publications

(7 citation statements)

References 80 publications

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“…For its numerical implementation and in line with the previous investigations for Enhanced Assumed Strain (EAS) mixed FE formulations, we herewith recall a material formulation defined in the reference configuration of the body. This formulation has been exploited for its usage in the modelling for solid shells [87,93,94,[96][97][98][104][105][106], as it is proven to block the appearance of shear locking in structures under bending configurations. Recalling from Sect.…”

Section: Fe Formulation Of the Gradient-enhanced Damage Model Eas-bas...mentioning

confidence: 99%

“…This technique's major drawback lies in the instability associated with rank deficiency in the stiffness matrix which appears under compressive states [95], which remains an open question in the Computational Mechanics field. Having also been applied to non-local damage approaches such as PF frameworks [96][97][98] and very recently to CDM with reduced integration schemes [99], in this research, we aim at developing a full integration formulation combining the EAS method considering 24 incompatible deformation modes, Q1E24, with a gradient-enhanced CDM approach to analyze damage in samples under bending loads which are prone to display shear locking phenomena, i.e., Q1Q1E24.…”

Section: Introductionmentioning

confidence: 99%

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Locking treatment of penalty-based gradient-enhanced damage formulation for failure of compressible and nearly incompressible hyperelastic materials

et al. 2023

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Soft materials are of major interest for biomechanics applications due to their high deformability and susceptibility to experience damage events under different loading scenarios. The present study is concerned with modelling damage evolution processes in these nonlinear materials whose structural responses are prone to locking when low-order kinematic interpolation is employed in the context of nonlinear Finite Element schemes. For this reason, a pair of gradient-enhanced continuum damage schemes are proposed with the aim of tackling mechanical failure problems in applications that exhibit shear and volumetric locking. In particular, we present the consistent formulation and the assessment of the corresponding performance of (i) a mixed displacement-enhanced assumed strain employing a total Lagrangian formulation, and (ii) a three-field mixed displacement-pressure-Jacobian formulation. The novel and formulations are consistently derived and numerically implemented, providing a satisfactory agreement with respect to built-in elements handling the treatment of shear and volumetric locking, respectively, in conjunction to the modelling damage phenomena via the use of a penalty-based gradient-enhanced formulation. This performance is examined via several numerical applications. Furthermore, the final example justifies the need for a formulation combining both mixed FE approaches to simulate problems encompassing both locking issues (shear and volumetric locking), which can be performed using a combination of the and herein proposed.

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Section: Fe Formulation Of the Gradient-enhanced Damage Model Eas-bas...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Locking treatment of penalty-based gradient-enhanced damage formulation for failure of compressible and nearly incompressible hyperelastic materials

et al. 2023

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“…According to the Fourier's law of heat conduction, 35–37 the constitutive relation between the heat flux

\mathbf{q}

and the temperature shift

\theta

can be expressed as

\mathbf{q}=-\mathbf{k}\cdotp \nabla \theta,

where

\mathbf{k}

is the thermal conductivity tensor.…”

Section: Thermo‐mechanical Formulationmentioning

confidence: 99%

“…According to the Fourier's law of heat conduction, [35][36][37] the constitutive relation between the heat flux q and the temperature shift 𝜃 can be expressed as…”

Section: Thermo-mechanical Formulationmentioning

confidence: 99%

A multifield coupled thermo‐chemo‐mechanical theory for the reaction‐diffusion modeling in photovoltaics

Liu

Lenarda

Reinoso

et al. 2023

Numerical Meth Engineering

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A comprehensive coupled thermo-chemo-mechanical modeling framework is proposed in this work to study the reaction-diffusion phenomena taking place inside photovoltaics (PV). When exposed to hygrothermal conditions, the encapsulant ethylene-co-vinyl acetate (EVA) layers undergo chemical degradation that significantly influences the overall PV performance. Aiming at efficient thermo-mechanical modeling, the coupled displacement-temperature governing equations for the EVA layers are formulated, and its 3D finite element (FE) implementation is derived in detail. Subsequently, the chemical reaction-diffusion processes occurring in the EVA layers are described, and the corresponding numerical implementation is formulated with the consideration of spatial and temporal variation of diffusivity and chemical kinetic rates. Specifically, the thermo-mechanical solution accounting for the heat generation from chemical reactions is projected to the FE model of the reaction-diffusion system in order to determine the kinetic rates and diffusion coefficients for its subsequent analysis. The proposed modeling method is applied to simulate the evolution of reaction-diffusion species at different damp heat tests, and predictions show a very satisfactory agreement with the analytical solution and experimental electroluminescence images taken from the literature. Its capabilities to predict the spatio-temporal variation are demonstrated through the simulation of the humidity freeze test, where the cyclic temperature boundary condition is imposed. With this modeling framework, it is possible to evaluate the degradation of PV modules under varying environmental boundary conditions, thus providing a guideline to design new products tailored for specific climatic zones.

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“…Moreover, phase field fracture modelling can readily be coupled to equations describing other physical phenomena and thus its use has been particularly popular in addressing multi-physics problems. Examples include hydrogen embrittlement [39,40], Li-Ion battery degradation [41,42], thermo-mechanical fracture [43,44], and stress corrosion cracking [45,46]. However, the use of multi-physics phase field-based formulations to investigate environmentally assisted degradation in composites materials is an area that remains relatively unexplored.…”

Section: Introductionmentioning

confidence: 99%

Hygroscopic phase field fracture modelling of composite materials

Au-Yeung

Quintanas-Corominas

Martínez‐Pañeda

et al. 2023

Engineering with Computers

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This paper investigates the effect of moisture content upon the degradation behaviour of composite materials. A coupled phase field framework considering moisture diffusion, hygroscopic expansion, and fracture behaviour is developed. This multi-physics framework is used to explore the damage evolution of composite materials, spanning the micro-, meso- and macro-scales. The micro-scale unit-cell model shows how the mismatch between the hygroscopic expansion of fibre and matrix leads to interface debonding. From the meso-scale ply-level model, we learn that the distribution of fibres has a minor influence on the material properties, while increasing moisture content facilitates interface debonding. The macro-scale laminate-level model shows that moisture induces a higher degree of damage on the longitudinal ply relative to the transverse ply. This work opens a new avenue to understand and predict environmentally assisted degradation in composite materials.

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Nonlinear thermo-elastic phase-field fracture of thin-walled structures relying on solid shell concepts

Cited by 13 publications

References 80 publications

Locking treatment of penalty-based gradient-enhanced damage formulation for failure of compressible and nearly incompressible hyperelastic materials

Locking treatment of penalty-based gradient-enhanced damage formulation for failure of compressible and nearly incompressible hyperelastic materials

A multifield coupled thermo‐chemo‐mechanical theory for the reaction‐diffusion modeling in photovoltaics

Hygroscopic phase field fracture modelling of composite materials

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