期刊
MATHEMATICS AND MECHANICS OF SOLIDS
卷 27, 期 8, 页码 1546-1558出版社
SAGE PUBLICATIONS LTD
DOI: 10.1177/10812865221081519
关键词
Elasticity; implicit constitutive relations; density dependent material parameters
资金
- Czech Science Foundation [20-11027X]
- Office of Naval Research
We investigate the pure bending of an elastic prismatic beam, considering density-dependent material parameters. The derived formulae allow for a quick assessment of the impact of density-dependent material parameters on predicted deformation, enabling a decision on their importance in the given setting.
We investigate the pure bending of an elastic prismatic beam, but unlike in the classical setting we assume that the material parameters are density-dependent. The corresponding boundary value problem admits a semi-analytical solution, and the derived formulae allow one to quickly assess the impact of density-dependent material parameters on the predicted deformation across various parameter regimes, and consequently make a decision on the importance of the density-dependent material parameters in the given setting.
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