SYMPOSIA PAPER Published: 01 January 1983
STP37304S

Consistency Checks for Power-Law Calibration Functions

Source

Recently, considerable numerical effort has been devoted to obtaining solutions to crack problems in incompressible J2 deformation theory materials of pure power-law type (εσn). Following Il'yushin's observation of the scalability of such solutions, many investigators have conducted broad parametric studies on crack length and material exponent, and have tabulated normalized J and deformation magnitudes. Due to numerical difficulties such as slow convergence, incompressibility, or inadequate finite-element mesh refinement, the solutions do not always agree.

We outline the basis for a very stringent general test of the “quality” of proposed solutions by applying the well-known equivalence of J and energy difference rate with respect to crack length.

The test is applied to data available in the literature, and conclusions are drawn as to their accuracy.

Author Information

Parks, DM
Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Mass.
Kumar, V
Corporate Research and Development, General Electric Co., Schenectady, N.Y.
Shih, CF
Division of Engineering, Brown University, Providence, R.I.
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Details
Developed by Committee: E08
Pages: I-370–I-383
DOI: 10.1520/STP37304S
ISBN-EB: 978-0-8031-4869-7
ISBN-13: 978-0-8031-0727-4