Question
Determine the Jacobian matrix [J] and the determinant of the Jacobian matrix for the element shown below. Use the image below to determine the
Determine the Jacobian matrix [J] and the determinant of the Jacobian matrix for the element shown below. Use the image below to determine the coordinates (x,y) at each node. 1.5 1.0 0.5 0.0 -0.5 -1.0 -1.5 a. Is the value of det[] constant, or is it a function of s, t? b. One can show that the value of det [/] varies more drastically over the element as the element becomes more distorted. What is the implication of this in terms of numerical integration of the stiffness matrix?
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A First Course in the Finite Element Method
Authors: Daryl L. Logan
5th edition
495668257, 978-1133169055, 1133169058, 978-0495668251
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