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# ps7 - Massachusetts Institute of Technology Biological...

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Massachusetts Institute of Technology Biological Engineering Division Department of Mechanical Engineering Department of Electrical Engineering and Computer Science 2.797/20.310/3.0536.024, Fall 2006 MOLECULAR, CELLULAR, & TISSUE BIOMECHANICS Problem Set #7 Issued: 11/10/06 Due: 11/16/06 Problem 1 A sample of soft tissue is cut into a cylindrical specimen and tested under constant uniaxial strain ( ± 11 = 10%) applied at t = 0 and held constant, as shown in the figure. The measured stress history is also shown. a) Assuming that the material behaves as a Maxwell model, obtain numerical estimates for the Maxwell material properties, E and ² , based on these test data. Figure by MIT OCW. E h 400 300 200 100 0 0 0 0.1 0.5 1.5 2 1 applied measured Relaxation test Test Time (s) Axial Stress s = P/A (MPa) Axial Strain A h e = d/ h d

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b) Now, use the Maxwell model to predict the response of the material in terms of the time-dependent strain [ ± (t) ], in response to a ramp in stress given by: () t = ² ³ t where = 1 MPa for the time 0 ± t ± 100 s . Use the values you obtained above for E
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• Fall '06
• MatthewLang
• Biomechanics, Massachusetts Institute of Technology, DEPARTMENT OF MECHANICAL ENGINEERING, Department of Electrical Engineering and Computer Science, Biological Engineering Division

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ps7 - Massachusetts Institute of Technology Biological...

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