The shape functions of a linear 3node element are also called barycentric or area coordinates because they
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The shape functions of a linear 3node element are also called barycentric or area coordinates because they uniquely define the location of a point in the triangle. Show that the shape functions in eq. (4.69) can also be computed as:
where \(A_{1}\) is the area of triangle \(\mathrm{P} 23\) in the figure, \(A_{2}\) is the area of triangle \(\mathrm{P} 13, A_{3}\) is the area of triangle P12, and \(A_{e}=A_{1}+A_{2}+A_{3}\) is the area of triangle 123 .
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Related Book For
Introduction To Finite Element Analysis And Design
ISBN: 9781119078722
2nd Edition
Authors: Nam H. Kim, Bhavani V. Sankar, Ashok V. Kumar
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