We derive an expression relating the axial load, the indentation depth, and the elastic constants of an orthotropic material, and simplify it to that for a cubic material (e.g., an FCC single crystal). We use this formula and results of three virtual (i.e., numerical) indentation tests on the same specimen oriented differently to find values of the elastic moduli, and show that they agree well ...

We analyze the behavior of a fragile material reinforced by a reticulated elastic unbreakable structure in the case of antiplane shear. The microscopic geometry of this material is described by means of two small parameters: the period ε of the grid and the ratio δ between the thickness of the fibers and the period ε. We show that the asymptotic behavior as ε → 0 and δ → 0 depends dramatically ...

Various models of tumor growth are available in the litterature. A first class describes the evolution of the cell number density when considered as a continuous visco-elastic material with growth. A second class, describes the tumor as a set and rules for the free boundary are given related to the classical Hele-Shaw model of fluid dynamics. Following the lines of previous papers where the mat...

This paper presents a method for implicit stress integration of the Drucker–Prager material model with kinematic hardening. The stress integration of the material model is conducted using the incremental plasticity method, while the kinematic hardening of material is defined using nonlinear Armstrong–Frederick hardening. This type of granular material hardening occurs as a consequence of the cy...

Molecular mechanical logic devices have been proposed as a method of eventually achieving very small size (device volumes of a few cubic nanometers) and thus of achieving very high packing densities. However, the heat generated by mole quantities of molecular mechanical logic devices packed into a small volume can be a major problem. Previous mechanical logic devices (in which the logic gates i...

this work presents thermoplastic analysis of fg rotating diskswith variable thickness and constant angular velocity. the solutions are obtained by variable material property (vmp) theory. in this theory, the domain is divided into some finite sub-domains in the radial direction, in which the properties are assumed to be constant and the form of the elastic response is used to solve elastic-plas...

A generalized thermo-elastic diffusion problem in a functionally graded isotropic, unbounded, rotating elastic medium due to a periodically varying heat source in the context of fractional order theory is considered in our present work. The governing equations of the theory for a functionally graded material with GNIII model are established. Analytical solution of the problem is derived in Lapl...

One effect of nonlinear elasticity on elastic wave propagation is that the velocity of the elastic wave is a function of the applied stress on the material. This effect has been used to characterize the nonlinear elastic properties of numerous materials and is also important in attempts to nondestructively characterize residual and applied stress in materials. In addition, investigations have e...

In probabilistic design, composite material properties are often treated as independent random variables since correlation coefficients are not widely available. This is due to the paucity of experiments where correlation is measured. However, high material correlations are expected from common physical characteristics, such as ∧ the variability in the fiber volume fraction. Therefore, the focu...