An improved method of collocation for the stress analysis of cracked plates with various shaped boundaries / by J.C. Newman, Jr.

Format:

Book

Government document

Author/Creator:

Newman, J. C., author.

Contributor:

United States. National Aeronautics and Space Administration, issuing body.

Series:

NASA technical note ; D-6376.

NASA/TN ; D-6376

Language:

English

Subjects (All):

Numerical analysis.

Collocation methods.

Strains and stresses.

Physical Description:

1 online resource (approximately 47 pages) : illustrations

Place of Publication:

Washington, D.C. : National Aeronautics and Space Administration, August 1971.

Summary:

An improved method of boundary collocation was developed and applied to the two-dimensional stress analysis of cracks emanating from, or in the vicinity of, holes or boundaries of various shapes. The solutions, presented in terms of the stress-intensity factor, were based on the complex variable method of Muskhelishvili and a modified boundary-collocation method. The complex-series stress functions developed for simply and multiply connected regions containing cracks were constructed so that the boundary conditions on the crack surfaces are satisfied exactly. The conditions on the other boundaries were satisfied approximately by the modified collocation method. This improved method gave more rapid numerical convergence than other collocation techniques investigated.

Notes:

"August 1971."

Includes bibliographical references (pages 22-23).

Online resource, PDF version; title from title page (NASA, viewed on February 23, 2021).

Other Format:

Print version: Newman, J.C. Improved method of collocation for the stress analysis of cracked plates with various shaped boundaries.

OCLC:

785245183