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crucial for characterizing the reliability of the actuation 
behaviour of a reversible two- way shape- memory effect. 
In contrast to a one- way shape- memory effect, cyclic 
movement can be generated by a single one- time pro-
gramming process and without additional programming 
after recovery. Therefore, no external stress is applied to 
the sample during multicyclic testing (Fig. 4b,c), which 
quantifies the degradation of the material over repeated 
actuation cycles. The actuation cycle of the thermome-
chanical testing of a reversible shape- memory polymer 
actuator can be visualized on a strain–temperature plot 
(Fig. 4d), which allows observation of the morphological 
transition between shape A and shape B. Moreover, the 
temperatures corresponding to the highest actuation 
rate during heating Tact,heat and cooling Tact,cool can be 
determined from this graph. Free- standing reversible 
memory effects can be tested using stress- free measure-
ment techniques. However, the application of an external 
stress during the actuation cycle (Fig. 4e) leads to a more 
pronounced shape change than achieved in stress- free 
testing, because the external stress increases the network 
anisotropy of the material.
Morphology- dependent function
The physical manifestation of shape- memory materials 
has great influence on their performance and function-
ality, and by varying device geometry, an additional 
hierarchical force can be generated. Diverse morpho-
logies have been explored to meet the requirements 
of potential applications. The molecular mechanisms of 
shape memory underlying these morphologies are 
similar; however, macroscale shape and microscale 
structure can be modified to increase the magnitude 
of actuation and to introduce specific behaviours. 
The ability of shape- memory materials to dictate mole-
cular orientation using macroscopic deformation is 
essential to enable bespoke movements such as bending, 
twisting or stretching.
Folding. In nature, specific morphological changes are 
used to enhance actuation; for example, the folding of 
bird wings and flowers offers an energy- efficient method 
to amplify motion. However, for shape- memory poly-
mers, engineering principles have been typically taken 
from the mechanical engineering of machines, which 
have shape- memory metallic alloys limited to a 3–4% 
reversible change in strain. The incorporation of a fold-
ing mechanism in shape- memory polymers has sub-
stantially increased their amplitude of actuation. This 
is especially pertinent for a two- way reversible shape- 
memory effect, for which the actuation amplitude 
is typically limited to length changes of up to 20%22. 
Programming a ribbon of poly[ethylene- co-(vinyl ace-
tate)] (PEVA) into a concertina shape enables reversible 
length changes of approximately 100%39 (Fig. 5a).
In nature, folding is also used to increase the diver-
sity and complexity of movements. For synthetic mate-
rials, coordinated shape change can be used to create 
3D structures from polymer films. For example, deter-
ministic self- folding processes can be employed to cre-
ate robotic actuators, solar cells and biological devices, 
which respond to external stimuli such as light10,33,53, 
heat54–57, magnetic fields58,59 and solvent60. Key chal-
lenges are the control of molecular chain orientation in 
layer processing methods and the predictive modelling 
of multidimensional shape change. The self- folding of 
shape- memory materials has been achieved using ther-
mal actuation, with a variety of triggers, such as light61, 
Joule heating and thermal radiation62.
Origami- inspired design and the incorporation of 
different stimuli- responsive elements enable the design 
of multifunctional soft robots63. For example, a tempo-
rary 3D crane shape can be created from a polymer sheet 
by triggering the phase- change of a thermoresponsive 
structural unit (Fig. 5b). In this case, light is also used as 
a spatioselective stimulus to programme an active region 
within the polymer film, enabling flapping movements of 
the wings. Localizing the linear elongation–contraction 
movement to a preformed joint facilitates the desired 
reversible actuation movement of the crane. This ‘4D’ 
behaviour is enabled by the combination of a traditional 
shape- memory effect and a two- way shape- memory poly-
mer actuation, actuated at a higher temperature range64, or 
through the formation of additional crosslinks. Similarly, 
fused deposition modelling or UV curing can be applied 
to generate 2D structures that are subsequently deformed 
by a shape- memory effect into 3D shapes. These tech-
niques forgo the need for time- intensive layer- by-layer 
printing by using simple programming to generate 
complex 3D geometries65–67.
Introducing microstructures. Microstructural variation 
is also an efficient method to amplify the change in shape 
of shape- memory materials or to generate novel func-
tional behaviour. Inspiration can be taken from metal 
foams, in which the introduction of hierarchical archi-
tectures leads to materials with elastomer- like energy 
absorption and remarkable post- compression recovery68. 
Applications in minimally invasive surgery69,70 or aero-
space70,71 have driven the development of porous, self- 
deployable structures made of soft polymeric materials. 
These materials are capable of programmable, stimuli- 
responsive volume change. Supercritical carbon dioxide 
foaming or thermally induced phase separation can be 
used to create materials with a high strength- to-weight 
ratio and with tailorable pore size, density and pore size 
distribution72. Variation of these parameters impacts 
shape- memory function. For example, foam density is 
important for the constant- strain recovery behaviour of 
epoxy foams73.
The introduction of a hierarchical internal struc-
ture amplifies shape recovery and energy storage dur-
ing compression of a shape- memory foam (Fig. 5c). 
By comparing hierarchically structured polyether ure-
thane (PEU) foams with PEU foams with a homogene-
ous pore- size distribution, it could be shown that the 
microscale structural response to bending causes perfor-
mance improvement74. The large pore walls of the non- 
hierarchical material buckle; however, the presence of 
a porous structure within the walls provides structural 
support for their folding during deformation. The con-
trolled response of hierarchically structured foams to 
compression enables greater energy storage during com-
pression and thus better performance. Porous materials 
Nature reviews | Materials
R e v i e w s
	Reprogrammable recovery and actuation behaviour of shape-​memory polymers
	Morphology-​dependent function
	Folding. 
	Introducing microstructures.

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