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The Essentials of Finite Element Modeling and Adaptive Refinement by John O. Dow

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APPENDIX 7A

GAUSS POINTS, SUPER CONVERGENT STRAINS, AND CHEBYSHEV POLYNOMIALS

7A.1 INTRODUCTION

As mentioned in the main text, one of the modifications to the Z/Z approach formed a smoothed solution on an element-by-element basis by interpolating the strains at the Gauss points of the elements that surround the element being evaluated. The modification was introduced because the strains at the Gauss points can be more accurate than the strains at the nodes of the element. Furthermore, the strains at the Gauss points are readily available in isoparametric elements. It should be noted that the use the average of the strains at the interelement nodes to form a locally smoothed strain distribution was shown in the main text to be closer to the ...

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