ORIGINAL CONTRIBUTION
Fatigue life prediction of additively manufactured material:
Effects of surface roughness, defect size, and shape
A. Yadollahi
1
| M.J. Mahtabi
2
| A. Khalili
3
| H.R. Doude
2
| J.C. Newman Jr
4
1
Center for Advanced Vehicular Systems
(CAVS), Mississippi State University,
Starkville, MS 39762, USA
2
Dynamic and Smart Systems Laboratory,
Mechanical, Industrial and Manufacturing
Engineering Department, The University
of Toledo, Toledo, OH 43606, USA
3
Structural Engineer, Pure Technologies,
Branchburg, NJ 08876, USA
4
Department of Aerospace Engineering,
Mississippi State University, Starkville, MS
39762, USA
Correspondence
A. Yadollahi.
Email: aref.yadollahi@gmail.com
Abstract
In this paper, the effects of process‐induced voids and surface roughness on the
fatigue life of an additively manufactured material are investigated using a
crack closure‐based fatigue crack growth model. Among different sources of
damage under cyclic loadings, fatigue because of cracks originated from voids
and surface discontinuities is the most life‐limiting failure mechanism in the
parts fabricated via powder‐based metal additive manufacturing (AM). Hence,
having the ability to predict the fatigue behaviour of AM materials based on
the void features and surface texture would be the first step towards improving
the reliability of AM parts. Test results from the literature on Inconel 718 fabri-
cated via a laser powder bed fusion (L‐PBF) method are analysed herein to
model the fatigue behaviour based on the crack growth from semicircular/ellip-
tical surface flaws. The fatigue life variations in the specimens with machined
and as‐built surface finishes are captured using the characteristics of voids
and surface profile, respectively. The results indicate that knowing the statisti-
cal range of defect size and shape along with a proper fatigue analysis approach
provides the opportunity of predicting the scatter in the fatigue life of AM mate-
rials. In addition, maximum valley depth of the surface profile can be used as an
appropriate parameter for the fatigue life prediction of AM materials in their as‐
built surface condition.
KEYWORDS
additive manufacturing, crack growth, FASTRAN, fatigue life prediction, laser powder bed fusion
Nomenclature: a, Crack depth, μm; a
i
, Initial crack depth, μm; B, Thickness of crack growth specimens, mm; C, Crack half‐length intersecting the free
surface, μm; c
i
, Initial crack half‐length, μm; E, Modulus of elasticity, GPa; F, Stress intensity boundary correction factor; m, Fracture toughness
ductility parameter; K, Stress intensity factor, MPa√m; K
Ie
, Elastic stress intensity factor at failure, MPa√m; K
T
, Stress concentration factor; K
F
,
Elastic‐plastic fracture toughness, MPa√m; K
max
, Maximum stress intensity factor, MPa√m; da/dN, Crack growth rate, m/cycle; R, Stress ratio; R
a
,
Surface roughness, μm; R
t
, Maximum profile height, μm; R
v
, Maximum valley depth, μm; S
o
, Crack‐opening stress from crack closure model, MPa;
S
max
, Maximum applied remote stress, MPa; S
min
, Minimum applied remote stress, MPa; S
n
, Net‐section stress at failure, MPa; W, Width of crack
growth specimens, mm; α, Constraint factor; ϕ, Parametric angle for surface crack, deg.; σ
ut
, Ultimate tensile strength, MPa; σ
ys
, Yield stress, MPa;
ΔK, Stress intensity factor range, MPa√m; ΔK
eff
, Effective stress intensity factor range, MPa√m.
Glossary: 3D, Three‐dimensional; AM, Additive manufacturing; AR, Aspect ratio; CP, Compression precracking; CT, Computed tomography; C(T),
Compact tension; EIFS, Equivalent initial flaw size; H, Horizontally built; HCF, High cycle fatigue; HIP, Hot isostatic pressing; LCF, Low cycle
fatigue; L‐PBF, Laser powder bed fusion; LSG, Low stress ground; RIFS, Real initial flaw size; TPFC, Two‐parameter fracture criterion; V, Vertically
built
Received: 4 December 2017 Revised: 8 February 2018 Accepted: 11 February 2018
DOI: 10.1111/ffe.12799
Fatigue Fract Eng Mater Struct. 2018;1–13. © 2018 Wiley Publishing Ltd. wileyonlinelibrary.com/journal/ffe 1