Publication: Computable estimates of the modeling error related to Kirchhoff-Love plate model
Computable estimates of the modeling error related to Kirchhoff-Love plate model
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Repin, S. I., & Sauter, S. (2010). Computable estimates of the modeling error related to Kirchhoff-Love plate model. Analysis and Applications, 8(4), 409–442. https://doi.org/10.1142/S0219530510001709
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The Kirchhoff-Love plate model is a widely used in the analysis of thin elastic plates. It is well known that Kirchhoff-Love solutions can be viewed as certain limits of displacements and stresses for elastic plates where the thickness tends to zero. In this paper, we consider the problem from a different point of view and derive computable upper bounds of the difference between the exact three-dimensional solution and a solution computed by using the Kirchhoff-Love hypotheses. This estimate is valid for any value of the thickness par
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Repin, S. I., & Sauter, S. (2010). Computable estimates of the modeling error related to Kirchhoff-Love plate model. Analysis and Applications, 8(4), 409–442. https://doi.org/10.1142/S0219530510001709