Peridynamic model for fatigue cracking.
Stewart A. Silling,Abe Askari +1 more
TLDR
In this article, the authors proposed a bond damage model within peridynamics to treat the nucleation and growth of cracks due to cyclic loading, which is an extension of traditional solid mechanics in which the field equations can be applied on discontinuities such as growing cracks.Abstract:
The peridynamic theory is an extension of traditional solid mechanics in which the field equations can be applied on discontinuities, such as growing cracks. This paper proposes a bond damage model within peridynamics to treat the nucleation and growth of cracks due to cyclic loading. Bond damage occurs according to the evolution of a variable called the %22remaining life%22 of each bond that changes over time according to the cyclic strain in the bond. It is shown that the model reproduces the main features of S-N data for typical materials and also reproduces the Paris law for fatigue crack growth. Extensions of the model account for the effects of loading spectrum, fatigue limit, and variable load ratio. A three-dimensional example illustrates the nucleation and growth of a helical fatigue crack in the torsion of an aluminum alloy rod.read more
Citations
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Validation of a peridynamic model for fatigue cracking
TL;DR: In this paper, a peridynamic model for fatigue cracking in homogeneous and composite materials is studied using a per-dynamic model and a set of critical damage factors are introduced to improve the stability and efficiency of fatigue cracking.
Journal ArticleDOI
Linearized state‐based peridynamics for 2‐D problems
TL;DR: In this article, a 2D linearized ordinary state-based peridynamic model of elastic deformations and the stiffness matrix for 2-D plane stress/strain conditions is proposed and verified by testing the recovery of elastic properties for given Poisson's ratios in the range 0.1-0.45.
Journal ArticleDOI
Peridynamics for fatigue life and residual strength prediction of composite laminates
Yile Hu,Erdogan Madenci +1 more
TL;DR: In this paper, an application of peridynamics to predict damage initiation and growth in fiber reinforced composites under cyclic loading is presented. But the model is limited to the case of open-hole composite laminates made of IM7/977-3.
Journal ArticleDOI
Mixed-mode fatigue crack growth analysis using peridynamic approach
Jeehyun Jung,Jongwon Seok +1 more
TL;DR: In this article, a matrix-based peridynamic code that uses a graphics processing unit (GPU) was proposed to compute the change in the stress intensity factor of each mode during crack propagation, which can accurately predict a mixed-mode fatigue crack growth rate under various load conditions.
Journal ArticleDOI
An energy-based peridynamic model for fatigue cracking
TL;DR: In this article, an energy-based peridynamic model for fatigue cracking is proposed, which is a non-local theory using the integral equations rather than differential equations which makes it suitable for damage prediction.
References
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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.
Book ChapterDOI
The Significance of Fatigue Crack Closure
TL;DR: Al alloy sheet fatigue crack closure under cyclic tensile loading, deriving expression for crack propagation rate in terms of effective stress amplitude as discussed by the authors, was derived for the first time in the literature.
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.