The shape function has ______ value at one nodal point and ______ value at other nodal points
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The shape function has unit value at one nodal point and zero value at other nodal points.
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The shape function has unity value at one nodal point and zero value at other nodal points.
Explanation:
- The shape function interpolates the solution between discrete values collected at mesh nodes. Shape functions are polynomials that are used to characterise the variation of a primary variable over an element's domain.
- As a result, proper functions must be utilised and as previously stated, low order polynomials are commonly used as shape functions.
- Characteristic of shape functions are: The value of a node's shape function is one, while all other nodes have a value of zero. All shape functions add up to one. For a particular primary variable, the sum of the derivatives of all shape functions is zero.
- Interpolation functions are shape functions. Displacements must be continuous across the element border in general, according to shape functions.
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