Table 1.
Description | Symbol | Equivalent Symbol from Zhang et al. [22] | Equivalent Symbol from Wang et al. [23] | Equivalent Symbol from Kalantari et al. [9] |
---|---|---|---|---|
Resistance of the FSR *1 | RFSR | R(σ) *2 | Rr(σ) *2 | Rtotal *2 |
Contact resistance | Rc | - | - | RCon |
Bulk resistance *3 | Rbulk | R(σ) *2 | Rr(σ) *2 | RPol |
Voltage drop over RFSR | VFSR | U | U | U |
Voltage drop over Rc | VRc | - | - | - |
Voltage drop over Rbulk | Vbulk | - | - | - |
Mechanical stress | σ | idem | idem | idem |
Effective area at rest state *4 | A0 | - *5 | - *6 | - *5 |
Effective area for tunneling conduction | A(σ) | - *5 | - *6 | - *5 |
Power law for A(σ) | - *5 | N(σ)/N(0) *6 | - *5 | |
Sensor physical area | AFSR | - | - | - |
Contact resistance at rest state *4 | - | - | - *7 | |
Resistance of the conductive particles | Rpar | idem *8 | idem *8 | idem *8 |
Compressive modulus of the Polymer composite | M | idem | idem | idem |
Height of the rectangular potential barrier | Va | idem | idem | idem |
Width of the rectangular barrier at rest state *4 | s0 | idem | idem | idem |
Hyphen symbol implies that such parameter is not embraced by the author. *1 Also known as the total resistance; it comprises the series connection between Rc and Rbulk; *2 Zhang et al. [22], Wang et al. [23] and Kalantari et al. [9] model the relative variation of resistance in regard to the experimentally measured resistance at rest state; see Equations (17), (23) and (24); *3 Also known as the tunneling resistance; *4 Rest state implies σ = 0; *5 The final formulations from Zhang et al. [22] and Kalantari et al. [9] assume the effective area for tunneling conduction as stress-independent , see Equations (17) and (24); *6 The quotient N(σ)/N(0) models the variation in the effective number of conductive paths with the applied stress, see Equation (23); *7 Although not explicitly stated by Kalantari et al. [9], the contact resistance is infinite at rest state as predicted by Equation (11); *8 All previous models embrace the contribution from the particles’ resistance, see Equation (12). However, they stated that Rpar is negligible when compared to the tunneling resistance. Hence, they discarded it as in Equation (13).