Pure bending of an elastic prismatic beam made of a material with density-dependent material parameters

MATHEMATICS AND MECHANICS OF SOLIDS(2022)

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摘要
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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关键词
Elasticity, implicit constitutive relations, density dependent material parameters
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