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A Finite-Temperature Continuum Theory Based on Interatomic Potentials
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: There are significant efforts to develop continuum theories based on atomistic models. These atomistic-based continuum theories are limited to zero temperature (T=0K). We have developed a ...
On Cauchy’s Mean Rotation
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, a new treatment of Cauchy’s measure of mean rotation in continuum mechanics is given, a representation theorem is proved, and the connection between Cauchy’s measure and the ...
Fracture Nucleation in Single-Wall Carbon Nanotubes Under Tension: A Continuum Analysis Incorporating Interatomic Potentials
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Carbon nanotubes show great promise for applications ranging from nanocomposites, nanoelectronic components, nanosensors, to nanoscale mechanical probes. These materials exhibit very attractive ...
An Alternative Decomposition of the Strain Gradient Tensor
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: An alternative decomposition of the strain gradient tensor is proposed in this paper in order to ensure that the deviatoric strain gradient vanishes for an arbitrary volumetric strain field, ...
A Finite-Deformation Shell Theory for Carbon Nanotubes Based on the Interatomic Potential—Part I: Basic Theory
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A finite-deformation shell theory for carbon nanotubes (CNTs) is established directly from the interatomic potential for carbon to account for the effect of bending and curvature. Its constitutive ...
A Finite-Deformation Shell Theory for Carbon Nanotubes Based on the Interatomic Potential—Part II: Instability Analysis
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Based on the finite-deformation shell theory for carbon nanotubes established from the interatomic potential in Part I of this paper, we have studied the instability of carbon nanotubes subjected ...
The Influence of Indenter Tip Radius on the Micro-Indentation Hardness
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The micro-indentation experiments have shown that the indentation hardness depends not only on the indentation depth but also on the indenter tip radius. In fact, the indentation hardness displays ...
Thermal Expansion of Single Wall Carbon Nanotubes
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: We have developed an analytical method to determine the coefficient of thermal expansion (CTE) for single wall carbon nanotubes (CNTs). We have found that all CTEs are negative at low and ...
A Thin Shell Theoretical Solution for Two Intersecting Cylindrical Shells Due to External Branch Pipe Moments
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A theoretical solution is presented for cylindrical shells with normally intersecting nozzles subjected to three kinds of external branch pipe moments. The improved double trigonometric series ...
Some Results on the Analytical Solution of Cylindrical Shells With Large Openings
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: An analytical solution for cylindrical shells with large openings has been developed by the asymptotic method. In comparison with previous analytical solutions obtained by Eringen, Van Dyke and ...