hw2 - 1.033/1.57 H#2: Stress & Strength Due: October 6,...

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Unformatted text preview: 1.033/1.57 H#2: Stress & Strength Due: October 6, 2003 MIT 1.033/1.57 Fall 2003 Instructor: Franz-Josef ULM Instrumented Nano-Indentation: Instrumented nano-indentation is a new technique in materials science and engineering to determine material strengths at very fine scales. The test consists in a penetration of a needle-type indenter in a continuous material system (see experi- mental setup in figure (a) below). The force required to penetrate is then related to the strength of the material by means of mechanical modeling. In this exercise, we propose to develop a simplified triaxial stressstrength model of the nano- indentation test. To simplify the problem, we consider that the indenter is a rigid cylinder of radius r , situated on the surface of a horizontal half-space composed of a homogeneous material, as sketched in figure (b) below. A vertical force F is exerted on the cylinder in the direction of the cylinder axis Oz , until it penetrates into the half-space. The value of the force, until it penetrates into the half-space....
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This note was uploaded on 11/29/2011 for the course CIVIL 1.00 taught by Professor Georgekocur during the Spring '05 term at MIT.

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hw2 - 1.033/1.57 H#2: Stress & Strength Due: October 6,...

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