Development of a piezoelectric polymer film sensor for plantar normal and shear stress measurements
Introduction
A lot of research has been done with the measurement of plantar pressure distribution. The high mechanical stress between foot and shoe has been linked with pressure ulcers [1], [2]. The pressure ulcers, also known as pressure sores and decubitus ulcers, occur when the tissue is compressed under pressure. The most common cause for foot deformities and pressure ulcer formation in feet is diabetic neuropathy [3]. Abnormally high pressures occur due to the poor load distribution as a result of reduced sensitivity of the foot [4]. At particular risk are heavily loaded regions overlying bony prominences, such as under the metatarsal heads, where the majority of plantar neuropathic ulcers occur [5]. The reduction of plantar pressure on foot has become a primary focus on the prevention and treatment of pressure ulcers [2].
The mechanical stress at the plantar surface has two components, pressure acting normal to the surface and shear stress acting tangential to the surface [5]. Only normal stress is widely reported [1]. One of the main reasons, why the shear stress data is not obtained is the lack of a validated and commercially available shear stress sensor [6]. Shear stress at the skin interface has been shown to increase blood flow occlusion in the deeper tissues, generating stresses which are additional to those of normal force [1].
The shear stress can be further divided to anterior–posterior (AP) and medial–lateral (ML) components [7]. The AP shear stress is the horizontal component in the movement direction and the ML shear stress the horizontal component perpendicular to the movement direction [8]. The shear stress is a vector addition of the AP and ML components [9].
During the last few decades, a variety of methods have been developed for the measurement of shear stress. Hosein and Lord measured the shear stress locally beneath the metatarsal heads and heel [1], [5]. The motion under the action of shear stress was detected in two orthogonal directions by magneto-resistive elements. Also, in-shoe plantar pressure was measured with commercial Tekscan F-Scan Gait Analysis System.
Perry et al. recorded the forefoot shear stress and pressure during the initiation of a gait [10]. They measured simultaneously all the three components of shear stress and pressure. The system consists of 16 transducers based on strain gauge technology; each with surface area measuring 2.5 cm × 2.5 cm. Heywood et al. utilized capacitive technology to measure the AP and ML components of shear stress [7]. The shear stress sensor consists of a central post and four parallel plates forming a capacitor between each face of the post and the parallel plate that it opposes. When a subject walks over the post, the forces on the plantar surface of the foot cause the post to be deflected and thus the capacitance to be altered. A commercial miniature pressure sensor was also used to measure the normal stress.
Mackey and Davis developed a 16 element sensor array to measure 3D stress [9]. The system has an optical basis. Wang et al. utilized a sensor consisting of an array of optical fibers lying in perpendicular rows and columns separated by elastomeric pads [6]. The measurement of normal and shear stresses with this method is based on intensity attenuation in fibers due to the physical deformation of two adjacent perpendicular fibers.
Pedotti et al. used a 200 μm thick polyvinylidenefluoride (PVDF) film poled in selected areas [11]. Sixteen circular disks, diameter 6 mm, were deposited onto the film by vacuum evaporation to provide the electrodes for pressure sensors. Razian and Pepper developed an in-shoe triaxial pressure transducer utilizing piezoelectric copolymer with the mixed composition of PVDF and trifluoroethylene (TrFE) [12].
The aim of this study was to develop a thin and flexible sensor for measuring the normal pressure and the AP and ML components of the shear stress. The developed sensor consists of four separate sensor elements implemented from commercial PVDF material and stacked together. The pressure and shear stress components are separated from the measured signals computationally. This study is concentrated on the sensor design and evaluation even though some preliminary results of plantar pressure measurement are also presented. The sensor introduced in this study is the first prototype. The goal is to further develop the sensor structure and design a matrix sensor to be used in in-sole measurements of plantar pressure distribution.
Section snippets
PVDF material
PVDF (polyvinylidenefluoride) is a semicrystalline piezoelectric polymer with approximately 50–65% crystallinity [13]. The chemical structure is given by (CH2–CF2)n [14]. During the manufacturing process, the PVDF resin pellet is brought into a sheet form with melt extrusion and the sheet is stretched [15]. Stretching at the temperature below the melting point causes a chain packaging of the molecules into piezoelectrically active β crystalline phase [15], [16]. These dipole moments are
Sensor calibration
Table 1 shows the results of the sensitivity measurements. The values are presented as mean sensitivities ± standard deviations for each sensor element. Average sensitivities computed from the data of all sensor elements are (12.6 ± 0.8) mV/N for the normal force, (223.9 ± 20.3) mV/N for the AP shear force and (55.2 ± 11.9) mV/N for the ML shear force.
Fig. 3 shows the sensitivity as the function of dynamic excitation force amplitude. The uppermost plot presents the sensitivity in normal force direction,
Discussion
The sensor introduced in this paper measures simultaneously the normal stress and the AP and ML components of shear stress. Some of the systems previously reported in the literature utilize separate normal and shear stress sensors [1], [7]. The comparison of data obtained from two different systems is not possible due to the different sensor technologies [12] and thus the capability to measure all the three force components with a single sensor is a useful property. Such a system is not
Satu Kärki received her M.Sc. degree in electrical engineering from Tampere University of Technology (TUT), Finland, in 2004. Since 2004, she has been working as a research scientist and university teacher at the Department of Automation Science and Engineering, TUT. Her research activities include sensor systems for physiological measurements.
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Satu Kärki received her M.Sc. degree in electrical engineering from Tampere University of Technology (TUT), Finland, in 2004. Since 2004, she has been working as a research scientist and university teacher at the Department of Automation Science and Engineering, TUT. Her research activities include sensor systems for physiological measurements.
Jukka Lekkala received his M.Sc. degree in electronics and D.Sc. (Eng) degree in biomedical engineering from Tampere University of Technology (TUT), Finland, in 1979 and 1984, respectively. Since 1991 he has been a docent of bioelectronics at University of Oulu, and a docent of biomedical engineering at TUT. Currently he is a Professor of automation technology at the Department of Automation Science and Engineering, TUT. His research activities include sensors, measurement systems, and biosensing.
Hannu Kuokkanen received his M.D. degree from University of Turku 1982. He has been specialised in general surgery, orthopaedics and traumatology and plastic surgery in University of Helsinki. He did his PhD in 1992 on operative treatment of femoral neck fractures. His research activities include traumatology, reconstructive microsurgery and cancer reconstructions. He is currently an Assistant Professor and works as a Head of the Plastic Surgery Department in Tampere University Hospital.
Jouko Halttunen received his M.Sc. degree in electrical engineering from University of Oulu, Finland in 1975 and D.Sc. (Eng) degree in electrical engineering from Tampere University of Technology (TUT), Finland, in 1992. Since 1995 he has been associate professor and professor of measurement technology at the Department of Automation Science and Engineering, TUT. His interest areas are metrology, sensors and measurement systems.