Energy absorbing 4D printed meta-sandwich structures: load cycles and shape recovery
The International Journal of Advanced Manufacturing Technology (2023) 127:1779–1795
https://doi.org/10.1007/s00170-023-11638-0
ORIGINAL ARTICLE
Energy absorbing 4D printed meta‑sandwich structures: load cycles
and shape recovery
Annamaria Gisario1 · Maria Pia Desole1 · Mehrshad Mehrpouya2 · Massimiliano Barletta3
Received: 12 April 2023 / Accepted: 22 May 2023 / Published online: 1 June 2023
© The Author(s) 2023
Abstract
The present study investigates the behavior of solid cellular structures in polylactic acid (PLA) achieved by FDM technology (fusion deposition modelling). The geometries are permanently deformed by compressive stress and then subjected to
shape recovery through the application of a thermal stimulus. The structures are submitted to medium–high and medium–low
compression stresses, evaluating the mechanical properties and the absorption energy as the number of cycles varies. The
study shows that the ability to absorb energy is related to the density of the model, as well as the degree of damage observed,
which increases with increasing number of load cycles. The strongest geometry is the lozenge grid, which is the most reliable. It shows no damage with increasing compression cycles and keeps its capability to absorb energy almost constant. The
increase in lozenge grid density leads to an improvement in both mechanical strength and absorption energy, as well as a
lower incidence of microcracks in the geometry itself due to the repeated load cycles. These results open up a broad spectrum
of applications of custom-designed solid cellular structures in the field of energy absorption and damping.
Keywords 4D printing · Metamaterials · Energy absorbing · Springback · Shape recovery
1 Introduction
Metamaterials are innovative materials artificially engineered to exhibit mechanical, thermal, acoustic, or electromagnetic behavior not found in other naturally occurring
materials [1, 2, 3, 4]. Their applications can be multiple and
declinable in different sectors, from civil to biomedical, from
electronics to aerospace, and in the broader manufacturing
sector [5, 6, 7].
Their development goes well with the growing interest in additive manufacturing technologies, which are
very competitive with respect to traditional manufacturing
* Massimiliano Barletta
1
Dipartimento Di Ingegneria Meccanica E Aerospaziale,
Sapienza Università Di Roma, Via Eudossiana 18,
00184 Rome, Italy
2
Department of Design, Production, and Management (DPM),
University of Twente, Drienerlolaan 5, 7522 NB Enschede,
The Netherlands
3
Dipartimento Di Ingegneria IndustrialeElettronica E
Meccanica, Università Degli Studi Roma Tre, Via Della
Vasca Navale 79, 00146 Rome, Italy
technologies due to the greater possibilities they offer in
obtaining intricate shapes, of good quality and in reasonable
times [8, 9, 10, 11, 12]. By exploiting additive manufacturing technology, it is in fact much easier to create products
with complex architectures. It is possible to set up articulated addition paths of the material that generate reticular
structures, with modular cavities and at the same time with
mechanical properties comparable to those of a solid artefact
[13]. In the conception of new reticular geometries, the study
of printing supports constitutes a delicate phase of the process. An attempt is made to drastically limit their use as the
presence of supports determines an increase in the cost-perpart due to the time required for their removal and surface
finishing operations. It is therefore convenient to produce
lattice structures making sure that the lattices themselves
act as internal supports and are at the same time capable of
withstanding external stresses.
In recent years, the targeted design of metamaterials
with lattice structures has garnered significant interest
from the scientific community and has involved the use of
a wide range of materials, both metallic [14, 15] and polymeric [11, 16]. The unique properties that can be obtained
from lattice structures when examined from a mechanical
point of view are high stiffness and mechanical strength
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The International Journal of Advanced Manufacturing Technology (2023) 127:1779–1795
or greater energy absorption in relation to reduced weight
and lower density [17, 18, 19, 20]. The mechanical attributes of AM fabricated parts with lattice structures have
been investigated by many researchers following various
approaches. In terms of geometries, attention has been paid
to structures with triangular, square, circular, or hexagonal
lattices. Geometries with auxetic behavior have also been
studied, with chiral and non-chiral or bio-inspired forms
[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18,
19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30]. Lubombo
and Huneault [31], for example, investigated the stiffness
and strength under uniaxial tensile and bending loading of
PLA thermoplastic cellular structures fabricated by fused
filament fabrication (FFF). In particular, five different filling models are examined for which a different mechanical
response is highlighted. The hexagonal structure showed
good performance with a twofold increase for stiffness
and up to 82% for resistance under load. Honeycombs
are among the most used to evaluate the performance of
cellular materials, perhaps also due to their wide commercial use. In McGregor et al. [32] an in-depth study
of the hexagonal lattice that is fabricated by AM using
three different thermoplastic polymers is reported: (rigid
polyurethane (RPU, E = 1900 MPa), additive epoxy (EPX,
E = 3140 MPa), and cyanate ester (CE, E = 4200 MPa)).
The mechanical behavior under compressive load of the
different materials is evaluated. By varying the relative
density in a sufficiently wide range (from 0.06 to 0.23),
the results obtained demonstrated the possibility of varying the specific modulus and the specific strength by more
than two orders of magnitude. However, a correlation was
not made between geometry and the capacity of the structure to absorb energy. Also, Santos et al. [33] have studied
honeycomb and auxetic structures (with negative Poisson’s
ratio) by comparing the behavior of PLA (polylactic acid)
and PETG (transparent polyethylene terephthalate modified
with glycol). In this case, the ability of the structures to
absorb energy as a function of the material and the initial
load of the test is investigated. However, a limited number
of geometries are analyzed in the work. It should be noted
that both polymers examined in this study can be included
in the category of shape memory polymers (SMPs), i.e.,
those intelligent polymeric materials that have the ability
to return from a deformed state (temporary shape) to their
original shape (permanent) following an external stimulus (trigger), such as for example a change in temperature.
SMPs can in fact be profitably employed in the 3D fabrication of metamaterials with reticular structures with the
aim of refe (...truncated)