Pure bending of an elastic prismatic beam made of a material with density-dependent material parameters-Reference-Cited by-同舟云学术

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

Published:2022-03-24 Issue:8 Volume:27 Page:1546-1558
ISSN:1081-2865
Container-title:Mathematics and Mechanics of Solids
language:en
Short-container-title:Mathematics and Mechanics of Solids

Author:

Průša Vít¹^ORCID,Rajagopal Kumbakonam Ramamani²^ORCID,Wineman Alan³^ORCID

Affiliation:

1. Charles University, Prague, Czech Republic

2. Department of Mechanical Engineering, Texas A&M University, College Station, TX, USA

3. University of Michigan, Ann Arbor, MI, USA

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.

Publisher

SAGE Publications

Subject

Mechanics of Materials,General Materials Science,General Mathematics

Link

http://journals.sagepub.com/doi/pdf/10.1177/10812865221081519

Reference27 articles.

1. On Implicit Constitutive Theories

2. DETERMINING MATERIAL PROPERTIES OF NATURAL RUBBER USING FEWER MATERIAL MODULI IN VIRTUE OF A NOVEL CONSTITUTIVE APPROACH FOR ELASTIC BODIES

3. A new type of constitutive equation for nonlinear elastic bodies. Fitting with experimental data for rubber-like materials

4. Non-Linear Elastic Bodies Exhibiting Limiting Small Strain

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