A complex viscoelastic material behaves as shown below. The material exhibits creep, relaxation and recovery. a) What aspects of this behavior would the Maxwell model fail to predict? What aspects of this behavior would the Voigt model fail to predict? b) A more complicated model, the Kelvin model, that correctly predicts creep, relaxation and recovery is shown below. Using the information provided, plot F(t) and u(t) for 0 to t to 150 seconds. c) Imagine the material you are modeling is bone. When exposed to large constant forces, bone may exhibit creep, a gradual increase in deformation. In terms of the model, what value(s) could we change to reduce this behavior without reducing the applied force F0? d) Now imagine that the material you are modeling is a tendon. When a constant deformation is applied, the tendon experiences relaxation, a gradual decrease in the internal force. In terms of the model, what value(s) could we change to reduce this behavior?




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A complex viscoelastic material behaves as shown below. The material exhibits creep, relaxation and recovery. a) What aspects of this behavior would the Maxwell model fail to predict? What aspects of this behavior would the Voigt model fail to predict? b) A more complicated model, the Kelvin model, that correctly predicts creep, relaxation and recovery is shown below. Using the information provided, plot F(t) and u(t) for 0 to t to 150 seconds. c) Imagine the material you are modeling is bone. When exposed to large constant forces, bone may exhibit creep, a gradual increase in deformation. In terms of the model, what value(s) could we change to reduce this behavior without reducing the applied force F0? d) Now imagine that the material you are modeling is a tendon. When a constant deformation is applied, the tendon experiences relaxation, a gradual decrease in the internal force. In terms of the model, what value(s) could we change to reduce this behavior?


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