The strain tensor e¡¡is given by the following expresión: eij 1 x²x²x1x3 X3 x² x²5a² x² \X1X3 where a² is a constant with units of length squared. Show that the compatibility equations are satisfied.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 26E
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The strain tensor e;jis given by the following expresión:
eij
1
x
X1X3
x²
x₂
X3
x1x3 x² 5a²
where a² is a constant with units of length squared. Show that the
compatibility equations are satisfied.
Transcribed Image Text:The strain tensor e;jis given by the following expresión: eij 1 x X1X3 x² x₂ X3 x1x3 x² 5a² where a² is a constant with units of length squared. Show that the compatibility equations are satisfied.
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