ps8 - Massachusetts Institute of Technology Biological...

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Unformatted text preview: 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 #8 Issued: 11/17/06 Due: 12/7/06 You only need to turn in Problems 2 and 3. Solutions will be distributed for the others. True-False 1. A specimen that continues to creep (deform) under a constant stress, as long as the stress is applied, could be modeled as a Kelvin (or Standard Linear Solid) material. 2. If the applied stress is held constant with time, a purely elastic material will exhibit a constant, steady strain. 3. For a poroelastic material subjected to an oscillatory load at a single frequency, the strain is in phase with the applied load. 4. When subjected to confined compression, a tissue specimen is reduced in volume due to the expulsion of liquid through the boundaries. 5. For unconfined compression of a poroelastic material, the following constitutive law applies: tot 11 = 2 G 11 + ( 11 + 22 + 33 ) p True-False 1. A specimen that continues to creep (deform) under a constant stress, as long as the stress is applied, could be modeled as a Kelvin (or Standard Linear Solid) material. False. A Kelvin material will creep to a certain extent, but will eventually reach a new equilibrium. 2. If the applied stress is held constant with time, a purely elastic material will exhibit a constant, steady strain. True. A purely elastic material will deform immediately upon the application of stress and will change its deformation only when the applied stress changes. 3. For a poroelastic material subjected to an oscillatory load at a single frequency, the strain is in phase with the applied load. False. A poroelastic material, like a viscoelastic material, is dissipative so that the load will lead the deformation. 4. When subjected to confined compression, a tissue specimen is reduced in volume due to the expulsion of liquid through the boundaries. True. In confined compression, the upper boundary is usually porous and interstitial fluid will leak out. 5. For unconfined compression of a poroelastic material, the following constitutive law applies: 11 = 2 G 11 + ( 11 + 22 + 33 ) p True. The only difference between this expression and that for an elastic material is the addition of the fluid pressure, p....
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This note was uploaded on 11/11/2011 for the course BIO 2.797j taught by Professor Matthewlang during the Fall '06 term at MIT.

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ps8 - Massachusetts Institute of Technology Biological...

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