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

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Chapter 3

IDENTIFICATION OF FINITE ELEMENT STRAIN MODELING CAPABILITIES

3.1 INTRODUCTION

In the previous chapter, the errors in finite element solutions were seen to appear as jumps in the interelement strains. In the next chapter, these jumps are shown to be residual quantities that are created when the finite element solution does not satisfy the governing differential equations being solved. These errors are produced when the interpolation polynomials are unable to capture the complexity of the exact strain distribution that exists on the domains of the individual elements. In other words, the errors result from the limited modeling capacity of the individual elements.

The relationship between the modeling errors and the modeling capability ...

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