Development and validation of a technique for strain measurement inside polymethyl methacrylate

Abstract There are many instances where it is necessary to measure strains inside polymethyl methacrylate. For instance, most cemented prosthetic devices fail owing to cement failure. Thus, it is important to measure the cement stresses in vitro, in order to optimize the design. Measuring internal strains with an embedded gauge is extremely difficult. The techniques proposed in the literature either are inaccurate or require large-scale models. In the present work a technique is proposed where a single strain gauge rosette is used. The strain gauge is calibrated to correct the errors deriving from the pressure acting on the grid. Thus accurate measurements can be obtained with a small sensor. The errors associated with this technique are estimated. A pilot study is presented (a) to verify whether the procedure can be applied to the actual geometry of the prosthesis, (b) to verify whether the gauges could safely be inserted into the femur, (c) to estimate the variability of this preparation and (d) to test the robustness of the preparation to repeated loading. Promising results were found in terms of accuracy, precision and robustness of the technique.

[1]  E. Little,et al.  The development of a model for the investigation of stresses in the cement layer underlying a tibial plateau , 1987 .

[2]  E. G. Little,et al.  A review of joint and muscle load simulation relevant to in‐vitro stress analysis of the hip , 1994 .

[3]  Sergio Rossetto,et al.  Three-dimensional strain rosettes: Pattern selection and performance evaluation , 1975 .

[4]  A R Ingraffea,et al.  Mechanical characteristics of the stem‐cement interface , 1991, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[5]  W. Harris,et al.  Femoral component offset. Its effect on strain in bone-cement. , 1993, The Journal of arthroplasty.

[6]  E. Little,et al.  An Experimental Technique for the Investigation of Three-Dimensional Stress in Bone Cement Underlying a Tibial Plateau , 1989, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[7]  Marco Viceconti,et al.  In vitro measured strains in the loaded femur: Quantification of experimental error , 1997 .

[8]  A. Cappello,et al.  Mechanical validation of whole bone composite tibia models. , 2000, Journal of biomechanics.

[9]  C. C. Perry Strain-Gage Reinforcement Effects on Low-Modulus Materials , 1985 .

[10]  E. Little Effects of self heating when using a continuous bridge voltage for strain gauging epoxy models , 1982 .

[11]  M. L. Meyer,et al.  Embedded strain gages for the measurement of strains in rolling contact , 1968 .

[12]  W. Harris,et al.  A fractographic investigation of PMMA bone cement focusing on the relationship between porosity reduction and increased fatigue life. , 1992, Journal of biomedical materials research.

[13]  Millard F. Beatty,et al.  Numerical analysis of the reinforcement effect of a strain gage applied to a soft material , 1979 .

[14]  A W Miles,et al.  The influence of the stem-cement interface in total hip replacement—a comparison of experimental and finite element approaches , 1997, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[15]  J. Vander Sloten,et al.  The Influence of Geometrical Distortions of Three-Dimensional Finite Elements, Used to Model Proximal Femoral Bone , 1995 .

[16]  L Cristofolini,et al.  A critical analysis of stress shielding evaluation of hip prostheses. , 1997, Critical reviews in biomedical engineering.

[17]  L Cristofolini,et al.  Mechanical validation of whole bone composite femur models. , 1996, Journal of biomechanics.

[18]  R. Dove,et al.  Selection of gages for strain measurement at interior points , 1962 .

[19]  R. C. Dove,et al.  Use of electrical-resistance strain elements in three-dimensional stress analysis , 1961 .

[20]  W H Harris,et al.  In vitro measurement of strain in the bone cement surrounding the femoral component of total hip replacements during simulated gait and stair‐climbing , 1996, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[21]  P. O'Donnell,et al.  Strain gauge reinforcement of plastics , 1990 .

[22]  Michael A. Sutton,et al.  Towards the standardization of in vitro load transfer investigations of hip prostheses , 1999 .

[23]  E. Little Embedded Strain Gaging of Plastic Models , 1984 .

[24]  R. C. Dove,et al.  Construction and evaluation of a three-dimensional strain rosette , 1963 .

[25]  S. Serdengecti,et al.  Strain-gage technique for measuring internal strains in artificial solids , 1962 .

[26]  W. Harris,et al.  Factors affecting cement strains near the tip of a cemented femoral component. , 1997, The Journal of arthroplasty.

[27]  T P Harrigan,et al.  A finite element study of the initiation of failure of fixation in cemented femoral total hip components , 1992, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[28]  L. Cristofolini,et al.  Evaluation of experimental and finite element models of synthetic and cadaveric femora for pre-clinical design-analysis. , 1994, Clinical materials.

[29]  C. C. Perry The resistance strain gage revisited , 1984 .

[30]  L Cristofolini,et al.  In vitro stress shielding measurements can be affected by large errors. , 1999, The Journal of arthroplasty.

[31]  T. Andriacchi,et al.  A technique for embedding strain gages within curing bone cement. , 1982, Journal of biomechanics.

[32]  Marco Viceconti,et al.  Comparison of uniaxial and triaxial rosette gages for strain measurement in the femur , 1997 .

[33]  G. Bergmann,et al.  Hip joint loading during walking and running, measured in two patients. , 1993, Journal of biomechanics.

[34]  D. Fisher,et al.  Cement-mantle thickness affects cement strains in total hip replacement. , 1997, Journal of biomechanics.

[35]  G. Lewis,et al.  Properties of acrylic bone cement: state of the art review. , 1997, Journal of biomedical materials research.

[36]  P Stehlin,et al.  Strain distribution in and around strain gauges , 1972 .