Crack propagation in multilayer thin-film structures of electronic packages using the peridynamic theory

Agwai, Abigail; Guven, Ibrahim; Madenci, Erdogan

doi:10.1016/j.microrel.2011.05.011

Cited by 23 publications

(11 citation statements)

References 21 publications

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“…. A simpler way is to use bond-based peridynamic approaches (Silling and Askari 2005;Silling et al 2007), which leads to valuable results in various fields, such electronic devices durability (Agwai et al 2011) and fibre-reinforced composites fractures (Hu et al 2012), concrete failure mechanics (Gerstle et al 2007), polycrystal fracture (Askari et al 2008) and nanoscale rupture mechanics (Bobaru 2007;Celik et al 2011). In such models, opposite forces of the same magnitude are exerted through a deformed bond, ξ !…”

Section: Peridynamic Approachmentioning

confidence: 99%

New modelling approaches to predict wood properties from its cellular structure: image-based representation and meshless methods

Perré

Almeida

Ayouz

et al. 2016

Annals of Forest Science

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Key message The real tissue structure, including local anisotropy directions, is defined from anatomical images of wood. Using this digital representation, thermal/mass diffusivity and mechanical properties (stiffness, large deformation, rupture) are successfully predicted for any anatomical pattern using suitable meshless methods. Introduction Wood, an engineering material of biological origin, presents a huge variability among and within species. Understanding structure/property relationships in wood would allow engineers to control and benefit from this variability. Several decades of studies in this domain have emphasised the need to account simultaneously for the phase properties and the phase morphology in order to be able to predict wood properties from its anatomical features. This work is focused on the possibilities offered by meshless computational methods to perform upscaling in wood using actual tissue morphologies obtained by microscopic images. Methods After a section devoted to the representation step, the digital representation of wood anatomy by image processing and grid generation, the papers focuses on three meshless methods applied to predict different macroscopic properties in the transverse plane of wood (spruce earlywood, spruce latewood and poplar): Lattice Boltzmann Method (LBM) allows thermal conductivity and mass diffusivity to be predicted, Material Point Method (MPM) deals with rigidity and compression at large deformations and peridynamic method is used to predict the fracture pathway in the cellular arrangement. Results This work proves that the macroscopic properties can be predicted with quite good accuracy using only the cellular structure and published data regarding the cell wall properties. A whole set of results is presented and commented, including the anisotropic ratios between radial and tangential directions.

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Section: Peridynamic Approachmentioning

confidence: 99%

New modelling approaches to predict wood properties from its cellular structure: image-based representation and meshless methods

Perré

Almeida

Ayouz

et al. 2016

Annals of Forest Science

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“…Because of the mathematical simplicity and computational affordability, peridynamics has been used to analyze various computationally intense problems, such as dynamic fracture in brittle [Ha and Bobaru 2010;Liu and Hong 2012;Lipton 2014] and composite [Askari et al 2006;Xu et al 2008;Kilic et al 2009;Hu et al 2011; materials, multiscale damage Alali and Lipton 2012], and damage of nanofiber networks, including long-range effects of van der Waals forces on nanofiber deformation [Bobaru and Silling 2004;Bobaru 2007;. Moreover, peridynamics has been used in failure analyses dealing with thin film cracking in electronic packaging [Agwai et al 2008; and also in conjunction with atomic force microscopy and nanoindentation techniques to determine the mechanical properties of ultrathin films [Celik et al 2009].…”

Section: Introductionmentioning

confidence: 99%

Peridynamics analysis of the nanoscale friction and wear properties of amorphous carbon thin films

Ebrahimi

Steigmann

Komvopoulos

2015

J. Mech. Mater. Struct.

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State-based peridynamics theory was used to study the nanoscale friction and wear behavior of thin films of amorphous carbon used as protective overcoats in hard-disk drives. Numerical results of the coefficient of friction and wear depth are shown to be in good agreement with published experimental results. Although long-range forces are not considered in the analysis, the results indicate that the present approach yields fairly accurate estimates of the coefficient of friction and wear depth for films of thickness larger than 10 nm and a grid size of 1.6 nm. The results of this study demonstrate that peridynamics theory can be used to analyze various nanoscale friction and wear phenomena without being limited by the excessive computational time and convergence difficulties encountered with traditional numerical techniques, such as the finite element method.Komvopoulos is the corresponding author.

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“…The development of viscoelastic peridynamic equation is mainly about substituting viscoelastic material properties (3) into material constant c 1 in the peridynamic bond force equation (2). In this current work, the constant c 2 (temperature properties) is neglected since the temperature is made constant (ambient temperature).…”

Section: Methodsmentioning

confidence: 99%

“…From the stress, the force can be obtained (4). By arranging the force as a subject, the bond force equation is obtained (5) and it can be put into bond force equation, replacing the 'c 1 s' (2). The significant difference between elastic and viscoelastic bond force equation is the additional time parameter in the viscoelastic equation.…”

Section: Methodsmentioning

confidence: 99%

The application of peridynamic method on prediction of viscoelastic materials behaviour

Nikabdullah

Azizi

Alebrahim

et al. 2014

AIP Conference Proceedings

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Crack propagation in multilayer thin-film structures of electronic packages using the peridynamic theory

Cited by 23 publications

References 21 publications

New modelling approaches to predict wood properties from its cellular structure: image-based representation and meshless methods

New modelling approaches to predict wood properties from its cellular structure: image-based representation and meshless methods

Peridynamics analysis of the nanoscale friction and wear properties of amorphous carbon thin films

The application of peridynamic method on prediction of viscoelastic materials behaviour

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