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gages to measure a 2D strain field on the surface of a material, which you find to be €xx = 5 + x² + y² + x² + y²¹, €yy = 6 + 3x² + 3y² + x² + y², €xy=5+2xy(x² + y² + 2), Exz = Eyz = €2z = 0. where x, y are coordinates. Verify compatibility and determine the displacement field, assum- ing displacement and rotation at the origin are zero.

gages to measure a 2D strain field on the surface of a material, which you find to be €xx = 5 + x² + y² + x² + y²¹, €yy = 6 + 3x² + 3y² + x² + y², €xy=5+2xy(x² + y² + 2), Exz = Eyz = €2z = 0. where x, y are coordinates. Verify compatibility and determine the displacement field, assum- ing displacement and rotation at the origin are zero.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Imagine you have used several strain gages to measure a 2D strain field on the surface of a material, which you find to be 5+2xy(x² + y² + 2), 4 = €xx = 5+x² + y² +xª+yª, €yy = 6 + 3x² + 3y² + x² + y², €xy Exz = Eyz = Ezz = 0. where x, y are coordinates. Verify compatibility and determine the displacement field, assum- ing displacement and rotation at the origin are zero.
Transcribed Image Text:Imagine you have used several strain gages to measure a 2D strain field on the surface of a material, which you find to be 5+2xy(x² + y² + 2), 4 = €xx = 5+x² + y² +xª+yª, €yy = 6 + 3x² + 3y² + x² + y², €xy Exz = Eyz = Ezz = 0. where x, y are coordinates. Verify compatibility and determine the displacement field, assum- ing displacement and rotation at the origin are zero.
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