You are developing a biomaterial to replace damaged ligaments. Your biomaterial performs well over short times, but the relaxation time of the biomaterial is worrisome. If the force in the material is greater than 0.005 N for longer than 1 minute after an applied step in deformation, the biomaterial begins to break down. You know that the maximum deformation the biomaterial will be exposed to is 0.1 m and that any springs in the model will have k=3 N/m and any dashpots will have h=50 Ns/m. a) You are debating between the Maxwell and Voigt models. Which should you use? Why? b) Will the biomaterial be able to withstand the maximum deformation without degrading? Show some math to back up your answer. c) How would you change k to improve perrformance? What about h? show some math to back up your answer. Plot the relaxation function of your model in response to the maximum deformation. Include the suggestions for improvement you made in part c.

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You are developing a biomaterial to replace damaged ligaments. Your biomaterial performs well over short times, but the relaxation time of the biomaterial is worrisome. If the force in the material is greater than 0.005 N for longer than 1 minute after an applied step in deformation, the biomaterial begins to break down. You know that the maximum deformation the biomaterial will be exposed to is 0.1 m and that any springs in the model will have k=3 N/m and any dashpots will have h=50 Ns/m. a) You are debating between the Maxwell and Voigt models. Which should you use? Why? b) Will the biomaterial be able to withstand the maximum deformation without degrading? Show some math to back up your answer. c) How would you change k to improve perrformance? What about h? show some math to back up your answer. Plot the relaxation function of your model in response to the maximum deformation. Include the suggestions for improvement you made in part c.

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