Prestretch Level Research Articles

Stretch-induced tunability of electrical transport properties of three-dimensional graphene-based foam structures

The fast electron transport and superior multidirectional flexibility of three-dimensional graphene-based foams (GFs) are pivotal in the realm of stretchable electronics. We observed pre-stretching induced modulation of the temperature-dependent electrical resistivity of GFs, where, as the pre-stretch strain level increased, the distinct temperature dependence of the resistivity of a GF sample would change and might even exhibit a notable transition from negative dependence to positive dependence. We attempted to interpret the phenomenon by proposing a new conduction network model that represents GF structures as interconnected polycrystalline graphene islands and island/island conduction junctions and incorporates three conduction mechanisms: thermally activated conduction across grain boundaries and phonon-limited conduction avoiding grain boundaries within a graphene island, and fluctuation-induced tunneling conduction across island/island conduction junctions. By fitting-assisted analysis, we found that the temperature dependence of the resistivity of a GF sample primarily relies on the discrete quantities of graphene islands and island/island conduction junctions, and the resistivity originating from each conduction mechanism. As pre-stretch strain level increases, these factors would change due to conduction network alteration, local strain-induced phonon hardening, and local strain-induced transport gap modulation, all resulting from pre-stretching. Our results offer valuable insights into the optimization of GFs-based stretchable electronic devices, such as performance enhancement through structural modifications.

Experimental study on flexural performance of prestressed concrete beams strengthened by Fe-SMA plates

Shape memory alloy (SMA) is an innovative intelligent material, capable of restoring its shape before deformation upon reaching the critical activation temperature. This property promotes its promising applications in civil engineering. This paper proposes a novel reinforcement method and aims to investigate the reinforcing effect of iron-based shape memory alloy (Fe-SMA) plates on prestressed concrete (PC) beams through four-point bending tests on one reference beam without reinforcement and three Fe-SMA reinforced beams, as well as with three beams reinforced by carbon fiber-reinforced polymer (CFRP). The results show that Fe-SMA can effectively reduce concrete cracks, and improve stiffness and characteristic loads of beams without negative effects. Under the same loading conditions, new cracks of Fe-SMA reinforced beams were relatively fewer than those of CFRP reinforced beams. Besides, Fe-SMA exhibited superior performance when utilizing the same cross-sectional reinforcement material to enhance the bending capacity of beam, and proved more advantageous for improving stiffness and characteristic loads of beam under the identical initial tensile force. Furthermore, the reinforcing effectiveness of Fe-SMA positively correlates with the cross-sectional area (thickness) and recovery stress (pre-stretch level and activation temperature) of Fe-SMA. Increasing the thickness of Fe-SMA plates by 100%, while maintaining other parameters constant, resulted in a 33% increase in cracking load. Similarly, elevating the recovery stress from 314 MPa to 340 MPa led to a 12.5% rise in cracking load. This paper investigates the reinforcement effect of Fe-SMA plates on PC beams, and provides a reference for the application of Fe-SMA in PC beam reinforcement, laying a foundation for promoting the utilization of Fe-SMA in civil engineering.

Effect of Pre-Stretching on Residual Stresses and Microstructures of Inconel 718 Superalloy

The residual stress generated in a superalloy during heat treatment affects the subsequent processing of the workpiece and may even adversely affect its performance. This paper investigates the effects of pre-stretching (in the range from 0% to 9%) before aging treatment on residual stress generated during quenching process and microstructure of Inconel 718 superalloy. After pre-stretching treatment, the residual stress deriving from quenching process can be well reduced. When the pre-stretch level was 3%, the quenching residual stress reached a maximum reduction of 72%, and the strength increased by 7.1%, while the product of strength and elongation hardly changed. Simultaneously, the microstructures of the pre-stretched specimens are observed by electron back scatter diffraction (EBSD) and transmission electron microscopy (TEM). It was found that the fraction of high-angle grain boundaries in the alloy decreased while that of low-angle grain boundaries increased with increasing pre-stretch level. As the pre-stretch level was further increased to 9%, the proliferating entanglement of internal dislocations in the specimen was intensified, resulting in rod-shaped γ″ precipitates coarsening and volume fraction reduction of precipitates, which further led to a reduction in the product of strength and elongation of material.

Prestress state evolution during thermal activation of memory effect in concrete beams strengthened with external SMA wires

The memory effect of shape-memory alloys (SMAs) has opened interesting perspectives to create prestress states in concrete elements. However, the procedure has not been yet fully resolved due to the complex thermomechanical behavior of these alloys, in addition to the practical difficulties of mechanical coupling between SMA and concrete elements. The present study deals with tests on the development of prestressing forces in concrete beams during the thermal cycle required in the procedure. Pre-stretched nickel–titanium wires were externally placed on concrete prismatic beams equipped with strain gauges. As concrete rupture may occur during the heating by the Joule effect, a compromise must be found between the SMA pre-stretch level and the maximum temperature to be applied before returning to ambient temperature. A macroscopic model was developed to analyze this compromise. The complex thermomechanical response of SMAs implies a particular attention in the definition of the ambient temperature and heating conditions for the creation of prestress states in concrete components.

Dielectric-elastomer-based capacitive force sensing with tunable and enhanced sensitivity

Designing capacitive force sensors with an enhanced and in situ tunable sensitivity is important in many fields such as robotic grippers but has been challenging. Existing capacitive force sensors mainly rely on ingenious but complex structural designs, posing tremendous difficulty in fabrication and usually featuring a fixed sensitivity. We present a facile design of capacitive tactile force sensor with an enhanced and tunable sensitivity using electro-mechanically responsive dielectric elastomer as the sensing medium. Dielectric elastomer exhibits tunable mechanical properties when subject to voltage and pre-stretch: increasing voltage and pre-stretch level leads to a more compliant response to the external pressure. Effectively, the sensitivity of the dielectric elastomer sensor can be continuously increased over one order of magnitude by properly exerting voltage and pre-stretch to the dielectric elastomer tactile sensor.

A biologically inspired artificial muscle based on fiber-reinforced and electropneumatic dielectric elastomers

Dielectric elastomers (DEs) have great potential for use as artificial muscles because of the following characteristics: electrical activity, fast and large deformation under stimuli, and softness as natural muscles. Inspired by the traditional McKibben actuators, in this study, we developed a cylindrical soft fiber-reinforced and electropneumatic DE artificial muscle (DEAM) by mimicking the spindle shape of natural muscles. Based on continuum mechanics and variation principle, the inhomogeneous actuation of DEAMs was theoretically modeled and calculated. Prototypes of DEAMs were prepared to validate the design concept and theoretical model. The theoretical predictions are consistent with the experimental results; they successfully predicted the evolutions of the contours of DEAMs with voltage. A pneumatically supported high prestretch in the hoop direction was achieved by our DEAM prototype without buckling the soft fibers sandwiched by the DE films. Besides, a continuously tunable prestretch in the actuation direction was achieved by varying the supporting pressure. Using the theoretical model, the failure modes, maximum actuations, and critical voltages were analyzed; they were highly dependent on the structural parameters, i.e., the cylinder aspect ratio, prestretch level, and supporting pressure. The effects of structural parameters and supporting pressure on the actuation performance were also investigated to optimize the DEAMs.

Role of nonlinear elasticity in mechanical impedance tuning of annular dielectric elastomer membranes

We use finite elasticity to examine the behavior of a lightweight mechanism for rapid, reversible, and low-power control of mechanical impedance. The device is composed of a central shaft suspended by an annular membrane of prestretched dielectric elastomer (DE), which is coated on both sides with a conductive film. Applying an electrical field across the thickness of the membrane, attractive Coulombic forces (so-called “Maxwell stresses”) are induced that (i) squeeze the annulus, (ii) relieve the membrane stress, and (iii) reduce the mechanical resistance of the elastomer to out-of-plane deflection. This variable stiffness architecture was previously proposed by researchers who performed an experimental implementation and demonstrated a 10× change in stiffness. In this manuscript, we generalize this approach to applications in aerospace and robotics by presenting a complete theoretical analysis that establishes a relationship between mechanical impedance, applied electrical field, device geometry, and the constitutive properties of the dielectric elastomer. In particular, we find that the stiffness reduction under applied voltage is non-linear. Such decay is most significant when the Maxwell stress is comparable to the membrane prestress. For this reason, both the prestretch level and the hyperelastic properties of the DE membrane have a critical influence on the impedance response.

Analytical and Finite Element Modal Analysis of a Hyperelastic Membrane for Micro Air Vehicle Wings

Analytical and finite element models are developed for investigating the modal characteristics of a hyperelastic rubber latex membrane for micro air vehicle wings applications. A radially prestretched membrane specimen is attached to a thin, rigid circular ring and vibrated in vacuum and in air at atmospheric pressure. The natural frequencies of the membrane computed by analytical and finite element models are correlated well. The natural frequencies increase with mode and prestretch level of the membrane but decrease in air from those in vacuum due to the effect of added mass of air. The damping is low and has a very minimal effect on the frequencies but helps to reduce the amplitude of vibration. Aerodynamic pressure at different angles of attack and a freestream velocity is computed from the wind tunnel test data, and a finite element model is developed for investigating the effect of the aerodynamic pressure on the modal characteristics of the membrane. It is found that the effect of aerodynamic pressure on the natural frequencies of the membrane is not significant.

A dynamical (time-harmonic) axisymmetric stress field in a finitely prestretched multilayered slab on a rigid foundation

Within the framework of a piecewise homogeneous body model, with the use of the three-dimensional linearized theory of elastic waves in initially stressed bodies, the dynamical (time-harmonic) axisymmetric stress field in a finitely prestretched multilayered slab resting on a rigid foundation is studied. It is assumed that the slab consists of two-layer packets. The elasticity of layer materials is described by the Treloar potential. It is assumed that the material of the lower layer in the packets is more rigid than that of the upper one. Numerical results are presented for the cases where the number of layers (packets) in the slab is 2 (1), 4 (2), or 6 (3). These results concern the normal stresses acting on the interface between the layers of the first, upper packet and on the interface between the first and second packets. The influence of the number, prestretch level, and thickness of the layers on relation ships between the stresses and the frequency of the external force is analyzed.

Action‐potential initiation and maintained activity of the isolated frog muscle spindle

The initiation of afferent action potentials represents the basic signalling process integrating and coding information of an external stimulus. There is also evidence in sensory receptor neurons of spontaneously generating action potentials that interfere with and modify the stimulus evoked activity. The present study investigates the generation of spontaneous action potentials in the isolated muscle spindle of the frog by recording receptor potentials, small subthreshold depolarizations, propagated impulses and interspike transients from the first Ranvier-node of the afferent stem fibre. The temporal pattern of spontaneous discharges at resting length depended on several variables interacting at the encoding site. In the absence of mechanical stimulation, a large resting receptor potential steadily depolarized the encoding node and provoked action potentials at irregular intervals. After each action potential, the hyperpolarizing afterpotential provided a slowly increasing depolarizing interspike transient of decreasing slope (time constant 128 ms), which evoked small subthreshold depolarizations (decay time > 5 ms; multimodal amplitude distribution) before the following action potential discharged. The probability of the small subthreshold depolarizations increased the longer the resting receptor potential stayed constant at its maximum amplitude. When increasing the static prestretch level encoding depended also on the stretch-evoked receptor potential as an additional parameter. The resulting depolarizing interspike transients were then larger and also more steeply rising, so that the afferent discharges increased in both rate and regularity. The experiments show dynamic threshold patterns that control action-potential initiation by the assessment of the actual amplitude of depolarization and its rate of rise.

Melatonin potentiates the vasoconstrictive effect of noradrenaline in renal artery from newborn hooded seals (Cystophora cristata) and harp seals (Phoca groenlandica).

Isometric tension was recorded by force displacement transducers in ring segments of the inferior branch of the renal artery from newborn hooded seals (Cystophora cristata, n=6), harp seals (Phoca groenlandica, n=3) and domestic pigs (Sus scrofa f. domestica, n=5). Arterial segments were mounted in heated organ baths and exposed to graded concentrations of noradrenaline (NA) and adrenaline (A), alone or together with melatonin. The melatonin concentration in the bath was similar to the plasma concentration normally found in each experimental animal. Melatonin alone did not affect the tension in any of the species, but melatonin potentiated the contraction induced by NA in hooded and harp seal arteries to a maximum of about 25% above the resting, pre-stretch level. The selective melatonin receptor antagonist luzindole reduced this potentiation by 80%. Species-specific concentrations of melatonin did not potentiate the NA-effect in the domestic pig or the A-induced contraction in any of the species. The results indicate that melatonin specifically increases the NA-sensitivity of smooth muscles in renal arteries from newborn seals. It is presumed that similar effects may operate in foetal and maternal seals and may influence their circulation during maternal diving.

Encoder response of isolated frog muscle spindle elicited by pseudorandom noise stimuli.

The present experiments investigated the signal transfer in the isolated frog muscle spindle by using pseudorandom noise (PRN) as the analytical probe. In order to guarantee that the random stimulus covered the entire dynamic range of the receptor, PRN stimuli of different intensities were applied around a constant mean length, or PRN stimuli of the same intensity were used while varying the mean length of the spindle. Subthreshold receptor potentials, local responses, and propagated action potentials were recorded simultaneously from the first Ranvier node of the afferent stem fiber, thus providing detailed insight into the spike-initiating process within a sensory receptor. Relevant features of the PRN stimulus were evaluated by a preresponse averaging technique. Up to tau = 2 ms before each action potential the encoder selected a small set of steeply rising stretch transients. A second component of the preresponse stimulus ensemble (tau = 2-5 ms) opposed the overall stretch bias. Since each steeply rising stretch transient evoked a steeply rising receptor potential that guaranteed the critical slope condition of the encoding site, this stimulus profile was most effective in initiating action potentials. The dynamic range of the muscle spindle receptor extended from resting length, L0, to about L0 + 100 microns. At the lower limit (L0) the encoding membrane was depolarized to its firing level and discharged action potentials spontaneously. When random stretches larger than the upper region of the dynamic range were applied, the spindle discharged at the maximum impulse rate and displayed no depolarization block or "overstretch" phenomenon. Random stretches applied within the dynamic range evoked regular discharge patterns that were firmly coupled to the PRN. The afferent discharge rate increased, and the precision of phase-locking improved when the intensity of the PRN stimulus was increased around a constant mean stretch; or the mean prestretch level was raised to higher values while the intensity of the PRN stimulus was kept constant. In the case when the PRN stimulus covered the entire dynamic range, the temporal pattern of the afferent discharge remained constant for at least 10 consecutive sequences of PRN. A spectral analysis of the discharge patterns averaged over several sequences of PRN was employed. At the same stimulus intensity the response spectra displayed low-pass filter characteristics with a 10-dB bandwidth of 300 Hz and a high-frequency slope of -12 dB/oct. Increasing the mean intensity of the PRN stimulus or raising the prestretch level increased the response power.(ABSTRACT TRUNCATED AT 400 WORDS)

Facilitation effect of auxiliary noise stimuli on response of isolated frog muscle spindle to sinusoidal movements.

Receptor potentials and impulse patterns were recorded from isolated frog muscle spindles using sinusoidal and superimposed random stretches as stimuli with different sinus-to-noise ratios. The entire dynamic amplitude range of the spindle receptor was evaluated by measuring the sensory response at different levels of static stretch. Auxiliary random stimuli provoked rectified fast depolarizing receptor potential transients; their amplitude and slope grew larger with increasing intensity of the noise stimulus and with increasing prestretch level. Due to this strongly nonlinear behavior of the transducing site the frequency and size of the receptor potentials evoked by the auxiliary input signal increased during the stretching phase of the sinusoidal movement. Since the fast depolarizing receptor potential transients provided a powerful trigger for the action potential encoding site, auxiliary random stimuli effectively enhanced the afferent discharge rate, especially during the stretching phase of the sinusoidal movement. Auxiliary noise stimuli could even activate the afferent discharge to an otherwise subthreshold sinusoidal stretch. It is assumed that by the same mechanism the transfer characteristic of the receptor is broadened towards higher frequencies. Since auxiliary random stimuli increased the nonlinear properties of all receptor response components, a "linearizing" approximation technique only partially describes the receptor's transfer properties. The facilitation effect recorded in the differentiated muscle spindle when random stimuli were superimposed on sinusoidal displacements closely resembled the excitation of afferent firing when passive stretching interacted with active fusimotor innervation. A hypothesis is proposed to explain both effects by the same mechanism acting upon the transducing sensory endings: Since passive random stretches as well as active twitching of the intrafusal muscle fibers exhibited almost the same range of frequency components, we propose that both stimuli also generate the same kind of receptor potentials; namely, those fast-rising depolarization transients of the receptor potential, which vigorously drive the encoding site. In general, these experiments explain how the specific response of a neuron can be facilitated by an additional unspecific (noisy) input.

Information transmission by isolated frog muscle spindle.

Transmission of sensory information was calculated for the isolated frog muscle spindle receptor, using Shannon's information measure. Sinusoidal movements, random noise stretches, and sinusoids with superimposed auxiliary noise were applied as stimuli. In addition, the static prestretch level of the intrafusal muscle bundle was adjusted between resting length (L0) and L0 + 600 micron, so that the analysis of the information transmission properties covered the entire dynamic range of the sensory receptor organ. Sinusoidal stretches below 2 Hz evoked smoothly modulated cycle histograms, which were approximately linearly related to the stimulating sinewave. The transinformation rates under these conditions were generally low (5-17 bit X s-1), regardless of the amplitude of the applied movement. Increasing prestretch enhanced the modulation depth of the cycle histograms considerably, but increased the transinformation rates by less than 10 bit X s-1. By contrast, sinusoids above 2 Hz evoked clearly nonlinear cycle histograms, because each action potential was firmly phase-locked to a small segment of the stretch cycle. Under these conditions the transinformation rates grew larger with increasing stimulus frequency and approached 130 bit X s-1 at 60 Hz. Small amplitude sinusoidal stretches, however, evoked considerable transinformation rates in the high frequency region only then, when the spindle receptor was extended to higher prestretch levels. Random stretches evoked transinformation rates between 5 and 30 bit X s-1 depending on both the prestretch level and the intensity of the noise stimulus. The linear response components carried only about 25% of the transinformation rates transmitted by both the linear and nonlinear response components. Auxiliary noise stimuli greatly improved the information transmission of sinusoidal stretches. For example, a pure sinusoid evoked 5 bit X s-1. Adding a noise signal with equal energy to the sinusoidal movement elicited 20 bit X s-1. This facilitation effect of auxiliary noise was restricted to low frequency sinusoidal stimuli. The present results are discussed with respect to the information transmission properties of various sensory systems evaluated by either the same or different information processing procedure as that used in the present study. The functional significance of high transinformation rates sent by the muscle spindle to the central nervous system is discussed with respect to motor control.

Receptor potentials of isolated frog muscle spindle evoked by sinusoidal stimulation.

Receptor potentials in response to sinusoidal stimulation have been recorded from isolated muscle spindles of the frog. Sinusoidal displacements of different amplitudes (20-120 micron) and frequencies (0.1-100 Hz) were used. The mean static stretch level was adjusted between resting length (L0) and L0 + 400 micron, so that the amplitude and phase-response characteristics were measured at different operating points. Depending on the amount of static prestretch, there is a well-defined dynamic range, which limits the receptor potential by nonlinear compression of either its positive or negative half-cycle. For each point on the static operating curve there exists a dynamic operating curve with a sigmoidal shape. The range of each dynamic curve is approximately 80 micron, independent of the static displacement, and the maxima of all dynamic curves are the same. Therefore the dynamic curves are not symmetrical about their static operating point. The slope of the steepest portion is 10% of the maximum elicitable receptor potential per 10-micron dynamic displacement. For stimulus frequencies greater than 2 Hz the receptor potential deviates from a sinusoidal waveform, exhibiting a fast depolarization transient during stretch and a prolonged repolarization transient during release of stretch. The steepness of the depolarization transient increases with increasing stimulus frequency, amplitude, and prestretch level. As a result, the interval from trough to peak of the receptor potential shortens to less than 90 degrees instead of half a cycle. The repolarization transient has an exponential decay with a time constant of approximately 40 ms that remains constant during the various stimulus conditions. As a result of this slow decay time, individual receptor potentials summate, so that the response divides into a modulated receptor potential (AC component) and a maintained depolarization (DC component). The amplitude response characteristic of the stationary AC component increases with increasing stimulus frequencies up to a peak at 2 Hz, after which it declines with a slope of -3 dB/octave. Provided large sinusoidal stretches and/or extended prestretch levels are used, this high-frequency decline of the AC component is compensated for by the proportional increase of the DC component, so that the peak depolarization values remain constant from 2 to 100 Hz. Stimulus and response are in phase for stimulus frequencies less than 2 Hz and reverse to phase lag at higher stimulus frequencies.(ABSTRACT TRUNCATED AT 400 WORDS)

Action potential patterns of isolated frog muscle spindle in response to sinusoidal stimulation.

Signal transfer in the isolated frog muscle spindle is investigated using the linear frequency domain analysis technique. Sinusoidal stretches of different amplitudes (20-120 micron) and frequencies (0.1-120 Hz) were applied at different levels of static prestretch, ranging from resting length (L0) up to L0 + 400 micron, so that the frequency-response characteristics were measured at different operating points within the dynamic range. The neuronal responses were recorded from the first node of the afferent stem fiber with a modified air-gap technique. By this means, subthreshold receptor potentials, prepotentials preceding the impulse, and the propagated action potentials were recorded simultaneously, thus providing a detailed insight into the encoding process. There is a well-defined dynamic range of receptor responses. At L0, the encoding site is depolarized to its firing level and discharges spontaneous stimulus-independent impulses. The upper limit is given by the saturation of the receptor potential, which keeps the depolarization maximum below the level of sodium inactivation. Therefore a "depolarization block" or "overstretch" does not exist in the muscle spindle; i.e., the receptor retains its ability to encode information over a large range of dynamic and static displacements. Since the dynamic curves of the receptor potential are not symmetrical about their static operating point, the impulse pattern remains modulated throughout the dynamic range, even if small sinusoids are superimposed on a large static prestretch. The afferent discharge pattern is mainly regulated by the modulated AC component of the receptor potential. At low stimulus frequencies (less than 1 Hz) the receptor potential modulates almost linearly about the mean membrane voltage, so that the evoked discharge pattern displays a smooth analog signal, which is close to sinusoidal. Increasing the static prestretch increases both the peak response and the modulation depth of the impulse pattern. In the intermediate frequency range (1-10 Hz), the cycle histogram disintegrates into discrete peaks separated by empty bins, because the nonlinear receptor potential elicites firmly phase-locked action potentials during its fast depolarization transient. Raising the prestretch level improves the precision of phase locking and increases the number of spikes elicited per cycle.(ABSTRACT TRUNCATED AT 400 WORDS)

The transducer and encoder of frog muscle spindles are essentially nonlinear. Physiological conclusions from a white-noise analysis.

Nonlinear second order white-noise analysis has been applied to the isolated frog muscle spindle. Power (delta 2) of the Gaussian white noise (GWN) and the average prestretch level L were varied and the response of both the isolated receptor potential (transducer) and the action potential (encoder) level were analysed. The standard white-noise method is briefly presented. Particular emphasis, however, is put on the limitations in the range of validity of the method and, consequently, on the use and interpretation of the kernels as a Wiener model. Conclusions in the present paper are within this frame and are mainly of qualitative nature. The analysis reveals that the nonlinear contributions of the model are essential for approximating physiological results, thus ruling out purely linear modelling for this receptor organ. The dependence of the transducer kernels on delta are compatible with the behaviour of a rectifier. Rectification is represented by the lack of hyperpolarization within the isolated receptor potential and is enhanced by the substantial memory in the linear and nonlinear kernels as demonstrated by their extent in time. This is equivalent to low power in high frequencies of the response. Obviously, the hyperpolarizing potentials following each spike counteract the long transducer memory. At the encoder level the memory of the system is strongly reduced. This is achieved by using predominantly high frequency components of the receptor potential for triggering the process of impulse generation, and by the precise coupling and high frequency content of the impulses. This coupling precision is possible because of the sensitivity of the spike-generating mechanism to steep rising transients of the receptor potential and also owing to the reduction in transducer memory by the hyperpolarizing afterpotentials. The preference given to the high frequency components is also read from the structure of the second order transducer kernel and from both the linear and the second order encoder kernels, which allows the most effective input waveform for triggering action potentials to be determined. When the operating point is changed to higher prestretch values, kernel heights increase strongly implying higher response strength of the muscle spindle.(ABSTRACT TRUNCATED AT 400 WORDS)