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Tunable stiffness using negative Poisson's ratio  319


                             Changing magnetic
                             field intensity


                                            Pull

                Catheter  MR fluids container                              -

                       Magnetically responsive            Thermally responsive
                          variable stiffness               variable stiffness
               (A)                                 (B)
              Fig. 1 Two typical mechanisms for stiffness tuning: (A) Variable stiffness principle with
              magnetically responsive material in action; (B) Construction of a phase change variable
              stiffness material with microchannels filled with a low melting point.

              properties, which can be exploited for use in variable stiffness (Chen et al.,
              2007; Liu et al., 2001; Wu et al., 2010; Zhou, 2003). The advantage of using
              such fluids is that the orientation of particles can be changed on the order of
              milliseconds, thus allowing for a quick way to achieve stiffness tunability
              (Lindler and Wereley, 1999). There is a wide range of uses for such tunable
              stiffness fluids, and their engineering applications have been explored in var-
              ious studies (Ditaranto, 1964; Nakamura et al., 2002; Parthasarathy and
              Klingenberg, 1996; Wei et al., 2007; Yeh and Shih, 2005). There is also lit-
              erature available that details the process of preparing such ER/MR fluids and
              the integration of these fluids with devices as a variable stiffness module
              (Behbahani and Tan, 2017; Carlson and Jolly, 2000; Hao, 2002; Parthasar-
              athy and Klingenberg, 1996; See et al., 2001; Tangboriboon et al., 2009;
              Varga et al., 2006), and the integration of this fluid into a device to be used
              as a variable stiffness module. However, the methods used to prepare ER/
              MR fluids involve complex setups and multiple treatment processes. Addi-
              tionally, these methods require highly controlled environments, where even
              the slightest impurities can render the fluids unusable. Furthermore, integra-
              tion of the ER/MR fluid into a modular device requires complex fabrica-
              tion methods. Lastly, the application of an electric or a magnetic field
              typically requires a bulky setup.


              2.2 Phase change materials

              Phase-changing materials comprise another field of tunable stiffness mate-
              rials. The stiffness of the material is altered by either atmospheric or direct
              joule heating, which leads to a reversible transition from solid to liquid phase
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