An Experimental Method to Obtain the Elastic Strain Energy Function from Torsion-Tension Tests

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概要

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• It has been observed by many authors that the rate of change of the strain energy function W with respect to two principal strain invariants, I_1 and I_2, is rapid near the origin ; moreover, the mapping area of the strain invariants with I_1-3 and I_2-3 as coordinates is extremely small near the origin. It is found that by employing a torsion-tension test, one can have a complete and meaningful mapping near the origin. However, the mathematical representations of the twist moment M and normal force N vs. strain and strain energy function are complex. To circumvent this difficulty we propose the use of a set of solid cylindrical bars with different diameters, such that the difference in diameter of two successive bars is small. By considering differences in M or N as a function of difference in radius, at appropriate deformations (stretch and twist) selected such that I_1 or I_2 is held fixed, one can grossly simplify the stress-strain equations, to the point that one has a new way to investigate material response.

• 社団法人応用物理学会の論文
• 1976-05-05

著者

• Peng Steven

  Jet Propulsion Laboratory California Institute Of Technology

• LANDEL Robert

  Jet Propulsion Laboratory, California Institute of Technology

• Landel Robert

  Jet Propulsion Laboratory California Institute Of Technology

関連論文

• An Experimental Method to Obtain the Elastic Strain Energy Function from Torsion-Tension Tests

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