Abstract:The aim of this paper is to develop new computational tools to study fatigue crack propagation in structural materials. In particular we compare the performance of different degradation strategies to study fatigue crack propagation phenomena adopting peridynamic based computational methods. Three fatigue degradation laws are proposed. Two of them are original. Initially a cylinder model is used to compare the computational performance of the three fatigue laws and to study their robustness with respect to vari… Show more
“…In the linear model [13], the bond force bold-italicf varies linearly with the stretch value s until it reaches the critical value s0, at which the bond breaks and the bond force reduces to 0. The constitutive curve of the bilinear model can be represented by the line 0PB in figure 2, and consequently the bond damage evolution can be expressed as [23] D={0,smax<s1,true0scsc−s1(1−s1smax),s1≤smax≤sc,1,smax≥sc,where smax denotes the maximum value that has been attained by s: smax=max0≤tnormal′≤tsfalse(tnormal′false).Figure 2I...…”
Section: Methodsmentioning
confidence: 99%
“…In [22], a PD fatigue model utilizing standard stress–load cycle fatigue data was applied to predict damage initiation and growth in fibre-reinforced composites under cyclic loading. In [23], the PD-based approach developed in [19] and equipped with two other fatigue damage evolution models was applied to more complicated problems. A PD fatigue damage-cumulative model was proposed in [24] and used to characterize α/β interface effects on fatigue crack growth in additively manufactured titanium alloy.…”
In this article, a numerical tool is proposed in the framework of bond-based peridynamics to simulate fatigue crack propagation in composite materials and structures. The cycle-dependent damage-cumulative model derived from Peerlings' law and applied to a bilinear constitutive law is used to evaluate the fatigue degradation of the bond stiffness. Several benchmark cases are studied to validate the proposed approach. Finally, static and fatigue crack propagations in composite systems with single or multi-inclusions are simulated to illustrate the capabilities and characteristics of the developed approach.
This article is part of the theme issue ‘Ageing and durability of composite materials’.
“…In the linear model [13], the bond force bold-italicf varies linearly with the stretch value s until it reaches the critical value s0, at which the bond breaks and the bond force reduces to 0. The constitutive curve of the bilinear model can be represented by the line 0PB in figure 2, and consequently the bond damage evolution can be expressed as [23] D={0,smax<s1,true0scsc−s1(1−s1smax),s1≤smax≤sc,1,smax≥sc,where smax denotes the maximum value that has been attained by s: smax=max0≤tnormal′≤tsfalse(tnormal′false).Figure 2I...…”
Section: Methodsmentioning
confidence: 99%
“…In [22], a PD fatigue model utilizing standard stress–load cycle fatigue data was applied to predict damage initiation and growth in fibre-reinforced composites under cyclic loading. In [23], the PD-based approach developed in [19] and equipped with two other fatigue damage evolution models was applied to more complicated problems. A PD fatigue damage-cumulative model was proposed in [24] and used to characterize α/β interface effects on fatigue crack growth in additively manufactured titanium alloy.…”
In this article, a numerical tool is proposed in the framework of bond-based peridynamics to simulate fatigue crack propagation in composite materials and structures. The cycle-dependent damage-cumulative model derived from Peerlings' law and applied to a bilinear constitutive law is used to evaluate the fatigue degradation of the bond stiffness. Several benchmark cases are studied to validate the proposed approach. Finally, static and fatigue crack propagations in composite systems with single or multi-inclusions are simulated to illustrate the capabilities and characteristics of the developed approach.
This article is part of the theme issue ‘Ageing and durability of composite materials’.
“…Accordingly, literature concerning peridynamic theory is quite exhaustive and abundant. In the past two decades, several peridynamic studies pertaining to elastic deformation and fracture solids [2,[26][27][28], brittle fracture [29][30][31][32][33], fatigue failure [34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49], and PD application of damage in composites [33,43,[50][51][52][53][54][55][56][57][58][59][60][61][62][63][64][65] have been reported. Studies related to crack initiation and propagation using peridynamics can be found in [30,[66][67][68][69].…”
The study of heat conduction phenomena using peridynamic (PD) theory has a paramount significance on the development of computational heat transfer. This is because PD theory has got an interesting feature to deal with the inherent nonlocal nature of heat transfer processes. Since the revolutionary work on PD theory by Silling (2000), extensive investigations have been devoted to PD theory. This paper provides a survey on the recent developments of PD theory mainly focusing on diffusion based peridynamic (PD) formulation. Both the bond-based and state-based PD formulations are revisited, and numerical examples of two-dimensional problems are presented.
“…Chen et al developed a peridynamic fiber-reinforced concrete model based on the bond-based peridynamic model with rotation effect [7]. Bazazzadeh et al study fatigue crack propagation in structural materials by developing a new computational tools which is based on peridynamic theory [8,9]. Zhao et al presented a state-based peridynamic contact damage model for glass by introducing a contact force function [10].…”
In this work, we modeled the brittle fracture of shell structure in the framework of Peridynamics Mindlin-Reissener shell theory, in which the shell is described by material points in the mean-plane with its drilling rotation neglected in kinematic assumption. To improve the numerical accuracy, the stress-point method is utilized to eliminate the numerical instability induced by the zero-energy mode and rank-deficiency. The crack surface is represented explicitly by stress points, and a novel general crack criterion is proposed based on that. Instead of the critical stretch used in common peridynamic solid, it is convenient to describe the material failure by using the classic constitutive model in continuum mechanics. In this work, a concise crack simulation algorithm is also provided to describe the crack path and its development, in order to simulate the brittle fracture of the shell structure. Numerical examples are presented to validate and demonstrate our proposed model. Results reveal that our model has good accuracy and capability to represent crack propagation and branch spontaneously.
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