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

abstract

• 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.

authors

• Rajagopal, Kumbakonam

published proceedings

• MATHEMATICS AND MECHANICS OF SOLIDS

author list (cited authors)

• Prusa, V., Rajagopal, K. R., & Wineman, A.

citation count

• 3

complete list of authors

• Prusa, Vit||Rajagopal, Kumbakonam Ramamani||Wineman, Alan

publication date

• August 2022

publisher

• SAGE Publications  Publisher

published in

• Mathematics and Mechanics of Solids  Journal

keywords

• Density Dependent Material Parameters
• Elasticity
• Implicit Constitutive Relations

Digital Object Identifier (DOI)

• 10.1177/10812865221081519

start page

• 1546

end page

• 1558

volume

• 27

issue

• 8

URL

• http://dx.doi.org/10.1177/10812865221081519