Abstract
In this study, we investigate the effect of surface energy on the nano-scale object using the theory of second strain gradient elasticity. This theory adds the first- and second-order gradients of strain to constitutive equations of the classical elasticity. The characteristic length scales, which represents the size of the microscopic structure of the material, and the surface energy are introduced into the constitutive equations. We solve the variational problem by using the isogeometric analysis; Galerkin method with non-uniform B-spline basis function. Strain energy density is simplified by using the irreducible decomposition of elasticity tensors under the general linear group GL(3). We conducted a numerical analysis for a hollow torus-shaped isotropic elastic medium. We observed that the surface displacement tends to dominate as the size of the material approaches the nanoscale.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: The Proceedings of The Computational Mechanics Conference
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.