Determine the Jacobian matrix [J] and the determinant of the Jacobian matrix for the element shown...

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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? 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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The question is about determining the Jacobian matrix and its determinant for a finite element represented in the image Youve asked to use the coordin... View the full answer