A New Model for Thin Plates with Rapidly Varying Thickness. II. A Convergence Proof.
MARYLAND UNIV COLLEGE PARK LAB FOR NUMERICAL ANALYSIS
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A recent paper presented a model for thin plates with rapidly varying thickness, distinguishing between thickness variation on a length scale longer than a 1, on the order of a 1, or shorter than a 1 the mean thickness. We review the model here, and identify the a 1 case as an asymptotic limit of the case a 1 case, showing that the model correctly represents the solution of the equations of linear elasticity on the three-dimensional plate domain, asymptotically as the mean thickness tends to zero. Author
- Theoretical Mathematics