SPECIAL ISSUE ‐ ENGINEERING AGAINST FAILURE
Multifield modelling and failure prediction of cellular cores
produced by selective laser melting
George Lampeas | Ioannis Diamantakos | Evaggelos Ptochos
Laboratory of Technology and Strength of
Materials, Department of Mechanical
Engineering and Aeronautics, University
of Patras, 26500 Rion, Greece
Correspondence
G. Lampeas, Laboratory of Technology
and Strength of Materials, Department of
Mechanical Engineering and Aeronautics,
University of Patras, 26500 Rion, Greece.
Email: labeas@mech.upatras.gr
Abstract
A multifield simulation approach of cellular cores produced by additive
manufacturing is presented. The analysis is aiming to derive the relation
between the manufacturing process parameters and the resulting material
failure behaviour. To this purpose, the selective laser melting manufacturing
process is initially thermo‐mechanically simulated, followed by the mechanical
analysis of the nonlinear core behaviour. The methodology is demonstrated in
the case of open‐lattice body‐centred‐cubic (BCC) cellular cores.
KEYWORDS
body‐centred‐cubic, cellular cores, failure prediction, numerical simulation, selective laser melting
1 | INTRODUCTION
Cellular materials are an attractive material category, as
they can be designed to have higher specific mechanical
properties compared with respective solid materials.
Some of their key advantages are their high energy
absorbing capability and their good thermal and acoustic
insulation properties, which make them privileged mate-
rials to be used in transportation and medical
applications. Cellular materials are commonly applied
as a core material in sandwich type of structures that
present advantages, when compared with conventional
monolithic stiffened structures, with respect to their com-
pression and impact behaviour. A special type of cellular
materials is the open lattice cellular materials that is
composed of a number of beams connected to each
other.
1
The open lattice cellular materials offer improved
ventilation, compared with honeycombs or foams that
are conventionally used as cores in sandwich materials,
something that prevents moisture absorption, structural
weight increase, and degradation of material properties.
Conventional manufacturing processes can be used
for the production of open lattice structures with rela-
tively simple geometry.
2,3
On the other hand, additive
manufacturing (AM) processes offer significant advan-
tages for producing open‐lattice cellular materials and
structures. AM has been developed and industrially
applied since the 1980s in different sectors, such as aero-
space, marine, automotive, and medical.
4-6
The most
common AM processes used for the manufacturing of
metal parts are electron beam melting (EBM), selective
laser melting (SLM), and selective laser sintering (SLS).
In the above processes, the final part is composed by fus-
ing consecutive layers of powder material. Manufacturing
of open lattice structures has been achieved by the
Nomenclature: A, material absorptivity; a, b and d, unit‐cell
dimensions; C(T), temperature‐dependent damping matrix; C
p
, specific
heat capacity; E, strut bulk material elastic modulus; e, element edge
size; F , view factor; F (t), external load vector; F
th
(t), temperature
load vector; F
x’
, F
y’
, strut loading forces; k, powder material
thermal conductivity; K(T), temperature‐dependent stiffness matrix;
k
f
, thermal conductivity of the fluid surrounding the powder particles;
k
s
, thermal conductivity of the solid material; L, is beam length; M(T),
temperature‐dependent mass matrix; M
p
, bending moment required
for the formation of a plastic hinge; M
(x ′ = 0)
, maximum bending
moment at the unit cell centre; n, number of elements covered by the
laser beam spot; P, laser power; _ q, supplied heat rate; r, strut radius;
Q
CD
, conduction losses; Q
CV
, convection losses; Q
L
, laser beam heat
input; Q
R
, radiation losses; Q
S
, energy related to phase
transformations; T, powder particles temperature; t, time; u(t),
displacement vector; _ ut ðÞ, velocity vector; € ut ðÞ, acceleration vector; x
r
,
powder particles diameter; ρ, material density; σ, the Stefan–
Boltzmann constant; σ
a
, strut axial stress; σ
fs
, strut tensile fracture
stress; φ, powder porosity
Received: 31 October 2018 Revised: 19 February 2019 Accepted: 23 February 2019
DOI: 10.1111/ffe.13008
Fatigue Fract Eng Mater Struct. 2019;1–14. © 2019 Wiley Publishing Ltd. wileyonlinelibrary.com/journal/ffe 1