Question

The shape functions indicated here are for a

• A. constant strain triangle, in area coordinates
• B. linear strain triangle, in area coordinates
• C. 4-node quadrilateral element
• D. 8-node brick element

Hint:

In finite element analysis, understanding the type of element and its associated shape functions is crucial for accurately defining the element's stiffness properties and how it will interact with adjacent elements.

Answer 1

The Correct Option is B

The shape functions \( N_1 = L_2(L_2 - 1), N_2 = 4L_1L_2, N_3 = L_2(2L_2 - 1), N_4 = 4L_1L_2 \) are indicative of linear strain triangles in area coordinates. These functions represent linear variations over the triangle, characteristic of the linear strain triangle finite element, which allows the representation of the element geometry and internal strain distribution accurately.