Solution

ID: past-exam-of-the-mphil-in-micro-and-nanotechnology-enterprise-course-of-the-university-of-cambridge/2018/paper-2/section-b/21b/iii/solution

A Kelvin-Voigt model element places a spring and dashpot in parallel, giving
Under a stress step from a relaxed state,
It captures delayed but bounded material creep and eventual strain recovery after unloading, rather than steady terminal flow.
For an ideal strain step,
After the loading impulse, the stress remains . The model does not produce a gradual stress-relaxation tail at held strain. A real finite-rate ramp replaces the impulse by a finite dashpot stress during loading, but the subsequent held-strain stress is still constant. Thus this model describes material creep retardation but not a solid's genuine time-dependent relaxation toward another finite modulus.

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