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Modelling of stress-corrosion cracking by using peridynamics

TLDR
In this paper, a numerical multiphysics peridynamic framework for the modeling of adsorbed-hydrogen stress-corrosion cracking (SCC) based on the adsorption-induced decohesion mechanism is presented.
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This article is published in International Journal of Hydrogen Energy.The article was published on 2016-04-27 and is currently open access. It has received 76 citations till now. The article focuses on the topics: Stress corrosion cracking & Stress intensity factor.

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Fully coupled poroelastic peridynamic formulation for fluid-filled fractures

TL;DR: In this paper, a new fully coupled poroelastic peridynamic formulation is presented and its application to fluid-filled fractures is demonstrated, which is capable of predicting porous flow and deformation fields and their effects on each other.
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Predicting fracture evolution during lithiation process using peridynamics

TL;DR: In this paper, the authors used peridynamics in conjunction with newly introduced peridynamic differential operator concept used to convert partial differential equation into per-idynamic form for the diffusion equation.
Journal ArticleDOI

Topology optimization of cracked structures using peridynamics

TL;DR: A robust and accurate approach based on the innovative coupling of Peridynamics (PD) (a meshless method) and topology optimization (TO), abbreviated as PD-TO, which can be an alternative and powerful tool in finding optimal topologies that can circumvent crack propagation and growth in two and three dimensional structures.
Journal ArticleDOI

Finite element implementation of a peridynamic pitting corrosion damage model

Dennj De Meo, +1 more
- 01 May 2017 - 
TL;DR: In this article, a peridynamic model based on peridynamics to predict pitting corrosion damage is developed, which allows for the reproduction of realistic pitting morphologies, modelling of microstructural effects such as the presence of intermetallic particles and the reduction of the computational cost of the simulations.
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A computational model of peridynamic theory for deflecting behavior of crack propagation with micro-cracks

TL;DR: In this article, the branching and deflecting behavior of a macro (main) crack in the presence of multiple number of micro-cracks at the vicinity of the crack tip is investigated.
References
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Journal ArticleDOI

A finite element method for crack growth without remeshing

TL;DR: In this article, a displacement-based approximation is enriched near a crack by incorporating both discontinuous elds and the near tip asymptotic elds through a partition of unity method.
BookDOI

Fracture Mechanics : Fundamentals and Applications

TL;DR: Fracture Mechanics: Fundamentals and Applications, Fourth Edition as discussed by the authors is the most useful and comprehensive guide to fracture mechanics available It has been adopted by more than 150 universities worldwide and used by thousands of engineers and researchers.
Journal ArticleDOI

Reformulation of Elasticity Theory for Discontinuities and Long-Range Forces

TL;DR: In this paper, a peridynamic formulation for the basic equations of continuum mechanics is proposed, and the propagation of linear stress waves in the new theory is discussed, and wave dispersion relations are derived.
Journal ArticleDOI

A meshfree method based on the peridynamic model of solid mechanics

TL;DR: In this article, a numerical method for solving dynamic problems within the peridynamic theory is described, and the properties of the method for modeling brittle dynamic crack growth are discussed, as well as its accuracy and numerical stability.
Journal ArticleDOI

Cracking particles: A simplified meshfree method for arbitrary evolving cracks

TL;DR: A new approach for modelling discrete cracks in meshfree methods is described, in which the crack can be arbitrarily oriented, but its growth is represented discretely by activation of crack surfaces at individual particles, so no representation of the crack's topology is needed.
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Frequently Asked Questions (14)
Q1. What are the contributions in "Modelling of stress-corrosion cracking by using peridynamics" ?

The authors present for the first time a numerical multiphysics peridynamic framework for the modelling of adsorbedhydrogen stress-corrosion cracking ( SCC ), based on the adsorption-induced decohesion mechanism. 

Due to their better strength-to-weight ratio as compared to carbon steels, and despite their sensibility to SCC in certain environments such as moist air and water, HSLA steel is broadlyused in different industries and systems. 

Microstructural data are used to model the mechanical behaviour of the material and a novel peridynamic hydrogen grain boundary diffusion model is introduced. 

In order to determine the response of materials and structures subjected to different loading conditions, CCM was introduced and has been used to analyse numerous engineering problems. 

In the case of an elastic material, the peridynamic force, as a result of the interaction(bond) between material points x and x , can be expressed as:c s y y fy y (2)where y represents the location of the material point x in the deformed configuration, i.e., y x u . 

In Eq. (5), i and j refer to a generic particle and its neighbour respectively, jV denotes thevolume of particle j , ij is the initial length of the bond between particles i and j , and Aqand Bq represent the number of peridynamic bonds along the directions associated with A and B , respectively. 

The average micro-branching width predicted by the numerical model is on the order of 60 μm.SIF = 40.3 MPa m (d), SIF = 48.55 MPa m (e). 

FEM cell mesh cohesive elements do not allow the analysis of arbitrary crack paths and often lead to mesh dependence and numerical convergence issues. 

For the discretization and solution of the problem, a commercial finite element software, ANSYS, is used by following the approach given in Macek and Silling (2007). 

As mentioned earlier, peridynamics, originally introduced for the prediction of mechanical deformations and material failure, has been extended to represent other fields including thermal (Madenci and Oterkus, 2014), electrical (Gerstle et al. 2008) and moisture (Oterkus et al. 2014) fields. 

the present study can serve as a starting point for more detailed SCC investigations: more complex geometries and loading conditions, 3D models and multiple cracks. 

The peridynamics’ governing equation can be written as: , , , , dV , H t t t t x xx u x f u x u x x x b x (1)where x , , tu x and , tu x denote the density, acceleration and displacement of thematerial point x at time t, respectively. 

In case of linear elastic material and plane stress configuration, the critical energy release rate cG can be obtained from the fracture toughness,IcK , as follows (Anderson, 2005):EK G Icc2 (7)Similar to the approach adopted in (Rimoli and Ortiz, 2010), in this study, hydrogen grain boundary diffusion is described by considering type C kinetic regime (cf. (Harrison, 1961)) using the widely accepted Fisher model (Fisher, 1951). 

the present peridynamic model is also capable of capturing the width of micro-branching observed during the experiments (cf. Section 4.6), i.e., an average 40 μm of experimental microbranching width (Hirose and Mura, 1984).