210 likes | 574 Views
Viscoelastic properties of articular cartilage at high frequencies Geoffrey R Fulcher David WL Hukins Duncan ET Shepherd School of Mechanical Engineering University of Birmingham. Articular cartilage. Low friction & wear Transmitting forces Deformable: larger areas - lower stress.
E N D
Viscoelastic properties of articular cartilage at high frequenciesGeoffrey R FulcherDavid WL HukinsDuncan ET ShepherdSchool of Mechanical EngineeringUniversity of Birmingham
Articular cartilage • Low friction & wear • Transmitting forces • Deformable: larger areas - lower stress
Articular cartilage • Viscoelastic • Behaviour under the full range of physiological loading frequencies?
Rise time of heel strike force • Generally • 100-150 ms • Some people • 5-25 ms • implicated in the onset of osteoarthritis
1 Hz • rise time 500 ms • 90 Hz • rise time 5.6 ms
Objective • To measure the viscoelastic properties of bovine articular cartilage at loading frequencies of up to 90 Hz
Viscoelasticity • phase angle of 0° • material is purely elastic • phase angle of 90° • material is purely viscous
Viscoelastic material • Storage modulus, E´ • elastic part of the response (where energy is stored and used for elastic recoil of the specimen when a stress is removed) • Loss modulus, E´´ • the viscous response (where energy is dissipated and the material flows)
Materials & methods • Bovine • Tibial plateau • Fluid bath • Indenter
Materials & methods • Bose ElectroForce 3200 testing machine • WinTest • DMA (Dynamic Mechanical Analysis)
Materials & methods • sinusoidally varying compressive force of between 16 N and 36 N • 1.7 MPa • 1 to 90 Hz • Calculated: • E´ • E´´ •
Storage modulus • Curve fit • Slope
Phase angle • > 0 for all frequencies 1 to 90 Hz • 3.4 to 5.7° (mean = 4.9°, SD = 0.6°) • Viscoelastic
Implications for osteoarthritis? • More energy is stored by the tissue than is dissipated • Effect is greater at higher frequencies. • Main mechanism for this excess energy to be dissipated is by the formation of cracks
Implications for osteoarthritis? 1 Hz 100 Hz 10 Hz
Conclusions • Articular cartilage is viscoelastic 1 to 90 Hz • High frequency loading, seen in some of the population, may be implicated in osteoarthritis
Arthritis Research Campaign Duncan ET Shepherd BEng, PhD, CEng, FIMechE School of Mechanical Engineering University of Birmingham d.e.shepherd@bham.ac.uk www.bioeng.bham.ac.uk Acknowledgements