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Additional info for Theory and Problems of Theoretical Mechanics (Schaum's Outline)
Strain Analysis, 44, 347-362, 2009. , Theory of Elasticity, McGRAW-HILL, BOOK COMPANY, Inc. 1951. Holzapfel G. , Nonlinear Solid Mechanics a Continuum Approach for Engineering, 2004. , Optimization of the Arthroscopic Indentation Instrument for the Measurement of Thin Cartilage Stiffness, Phys. Med. , 2511-2524, 1999. ASTM D412 - 06ae2 Standard Test Methods for Vulcanized Rubber and Thermoplastic Elastomers—Tension. APPENDIX Equivalent Young’s modulus for a Mooney-Rivlin solid The Mooney-Rivlin material model is characterized by the two material constants c10 and c01.
And Childress D. , Indenter Tests and Finite Element Modeling of Bulk Muscolar Tissue in Vivo, Journal of Rehabilitation Research and Development, 33 (3), 239-252, 1996. , Development of a Clinical Instrument to Measure Heel Pad Indentation, Clinical Biomechanics, 15, 298-300, 2000. , Mechanical Properties of Brain Tissue In-Vivo: Experiment and Computer Simulation, Journal of Biomechanics, 33, 1369-1376, 2000. , and Noble J. , Non-Invasive Measurement of Biomechanical Properties of In-Vivo Soft Tissues, MICCAI, 2488, 208-215, 2002.
6% referring to the equivalent Young’s modulus. The error related to the benchmark values is almost zero. The relative standard deviations are almost the same. The average number of iterations is exactly the same. 002%. 0028 CONCLUSION Results demonstrate that a mixed experimental/numerical method using non-destructive indentation is a reliable and accurate technique for characterization of Mooney-Rivlin incompressible material models. Assuming a priori, according to literature, to employ phenomenological hyperelastic constitutive laws to characterize soft biological tissues, this study demonstrate that the analyzed technique has the potential to be extended to in-vivo and ex-vivo tissues.
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