Shape-memory polymers (SMPs) are polymeric smart materials that have the ability to return from a deformed state (temporary shape) to their original (permanent) shape when induced by an external stimulus (trigger), such as temperature change.
Properties of shape-memory polymers SMPs can retain two or sometimes three shapes, and the transition between those is often induced by temperature change. In addition to temperature change, the shape change of SMPs can also be triggered by an electric or magnetic field, light or solution. Like polymers in general, SMPs cover a wide range of properties from stable to biodegradable, from soft to hard, and from elastic to rigid, depending on the structural units that constitute the SMP. SMPs include thermoplastic and thermoset (covalently cross-linked) polymeric materials. SMPs are known to be able to store up to three different shapes in memory. SMPs have demonstrated recoverable strains of above 800%. Two important quantities that are used to describe shape-memory effects are the strain recovery rate (Rr) and strain fixity rate (Rf). The strain recovery rate describes the ability of the material to memorize its permanent shape, while the strain fixity rate describes the ability of switching segments to fix the mechanical deformation.
R r ( N ) = ε m − ε p ( N ) ε m − ε p ( N − 1 ) {\displaystyle R_{r}(N)={\frac {\varepsilon _{m}-\varepsilon _{p}(N)}{\varepsilon _{m}-\varepsilon _{p}(N-1)}}}
R f ( N ) = ε u ( N ) ε m {\displaystyle R_{f}(N)={\frac {\varepsilon _{u}(N)}{\varepsilon _{m}}}}
where N {\displaystyle N} is the cycle number, ε m {\displaystyle \varepsilon _{m}} is the maximum strain imposed on the material, and ε p ( N ) {\displaystyle \varepsilon _{p}(N)} and ε p ( N − 1 ) {\displaystyle \varepsilon _{p}(N-1)} are the strains of the sample in two successive cycles in the stress-free state before yield stress is applied. Shape-memory effect can be described briefly as the following mathematical model:
R f ( N ) = 1 − E f E g {\displaystyle R_{f}(N)=1-{\frac {E_{f}}{E_{g}}}}
R r ( N ) = 1 − f I R f α ( 1 − E f / E g ) {\displaystyle R_{r}(N)=1-{\frac {f_{IR}}{f_{\alpha }(1-E_{f}/E_{g})}}}
where E g {\displaystyle E_{g}} is the glassy modulus, E r {\displaystyle E_{r}} is the rubbery modulus, f I R {\displaystyle f_{IR}} is viscous flow strain and f α {\displaystyle f_{\alpha }} is strain for t >> t r {\displaystyle t>>t_{r}} .
Triple-shape memory While most traditional shape-memory polymers can only hold a permanent and temporary shape, recent technological advances have allowed the introduction of triple-shape-memory materials. Much as a traditional double-shape-memory polymer will change from a temporary shape back to a permanent shape at a particular temperature, triple-shape-memory polymers will switch from one temporary shape to another at the first transition temperature, and then back to the permanent shape at another, higher activation temperature. This is usually achieved by combining two double-shape-memory polymers with different glass transition temperatures or when heating a programmed shape-memory polymer first above the glass transition temperature and then above the melting transition temperature of the switching segment.
Description of the thermally induced shape-memory effect
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