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In the four-node quadrilateral element, the shape functions contained terms _________

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in Finite Element Method by (110k points)
In the four-node quadrilateral element, the shape functions contained terms _________

(a) ξ

(b) σ

(c) ∅

(d) Undefined

This question was addressed to me in semester exam.

This intriguing question originated from Four Node Quadrilateral for Axis Symmetric Problems topic in division Two Dimensional Isoparametric Elements and Numerical Integration of Finite Element Method

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Best answer
The correct option is (a) ξ

Explanation: FourNodeQuad is a four-node plane-strain element using bilinear isoparametric formulation. This element is implemented for simulating dynamic response of solid-fluid fully coupled material, based on Biot’s theory of porous medium. Each element node has 3 degrees-of-freedom (DOF): DOF 1 and 2 for solid displacement (u) and DOF 3 for fluid pressure (p).

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