Quantum manifestation of elastic constants in nanofilms

Quantum manifestation of elastic constants in nanofilms.

Generally, there are two distinct effects in modifying the properties of low-dimensional nanostructures: surface effect (SE) due to increased surface-volume ratio and quantum size effect (QSE) due to quantum confinement in reduced dimension. The SE has been widely shown to affect the elastic constants and mechanical properties of nanostructures. Here, we demonstrate that QSE can also have a str...

Elastic constants of quantum solids by path integral simulations

Two methods are proposed to evaluate the second-order elastic constants of quantum mechanically treated solids. One method is based on path-integral simulations in the NVT ensemble using an estimator for elastic constants Ci j . The other method is based on simulations in the NpT ensemble exploiting the relationship between strain fluctuations and elastic constants. The strengths and weaknesses...

Elastic constants of natural quartz.

The elastic constants of a natural-quartz sphere using resonance-ultrasound spectroscopy (RUS) are measured. The measurements of the near-traction-free vibrational frequencies of the sphere are matched with the predicted frequencies from the dynamic theory of elasticity, with optimized estimates for the elastic constants driving the differences between these sets of frequencies to a minimal val...

Martensitic Transformation and Elastic Constants

A New Numerical Procedure for Determination of Effective Elastic Constants in Unidirectional Composite Plates

In this paper a composite plate with similar unidirectional fibers is considered. Assuming orthotropic structure, theory of elasticity is used for investigating the stress concentration. Also, complex variable functions are utilized for solving the plane stress problems. Then the effective characteristics of this plate are studied numerically by using ANSYS software. In this research a volume e...