Question
(a) A two-dimensional 4-node isoparametric element is shown below in physical coordinate space (x, y) and natural coordinate space (r, s). Determine the Jacobian
(a) A two-dimensional 4-node isoparametric element is shown below in physical coordinate space (x, y) and natural coordinate space (r, s). Determine the Jacobian matrix J, and the determinant of J, (det J), of this element. ty 2 12 cm 8 cm 2 x -2 N S 1 4 2. (b) Another two-dimensional 4-node isoparametric element is shown below in physical coordinate space (x, y) and natural coordinate space (r, s). Determine the Jacobian matrix J, and the determinant of J, (det J), of this element. The x-, y- coordinates of node i is shown as (x,y) in units of cm. (3, 4) (7,5) 2 3 (2,2) (4,2) S 1 4 2.
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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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