Question: 38. A rectangular plastic specimen of size 100 x 100 x 10mm3 is placed in a rectangular metal cavity. The dimensions of the cavity are

38. A rectangular plastic specimen of size 100 x 100 x 10mm3 is placed in a rectangular metal cavity. The dimensions of the cavity are 101 x 101 x 9mm3. The plastic is compressed by a rigid punch until it is completely inside the cavity. Due to Poisson effect, the plastic also expands in the x and y directions and fills the cavity. Calculate all stress and strain components and the force exerted by the punch. Assume there is no friction between all contacting surfaces.

The metal cavity is rigid. Elastic constants of the plastic are E = 10 GPa, v = 0.3.

39. Repeat Problem 38 with elastic constants of the plastic as E = 10 GPa and v = 0.485.

40. Repeat Problem 38 with the specimen of size 100 x 100 x 10 mm3 and the dimensions of the cavity 104 x 104 x 9 mm3. Elastic constants of the plastic are E = 10 GPa, v = 0.3.

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