An enhanced 8-node isoparametric element with anti-distortion
In order to improve the solution precision of the plane problem,the Q8_Legendre element is constructed based on the idea of introducing Bubble function to enhance the mapping relationship based on Legendre orthogonal function.Because the displacement field of the element contains Bubble function,the size of the element stiffness matrix becomes larger.In order to reduce the size of the over-all stiffness matrix and save the computer memory space,the additional degrees of freedom are con-densed after the stiffness matrix of the element is obtained.Some numerical examples show that the Legendre element can pass the patch test,and the displacement accuracy of the element is improved with the increasing of Bubble function number,while the stress accuracy remains almost the same.When the distortion mesh is encountered,the Q8_Legendre element exhibits the performance of anti-distortion ability,and locking phenomenon does not appear.
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