Is the elastic energy of amorphous materials rotationally invariant ?
نویسنده
چکیده
2014 It is shown that scalar, stress induced contributions to the elastic energy, which are not explicitly rotationally invariant can play an important rôle in determining the elastic properties of tenuous structures. Recent scaling results are used to show that the scalar contributions tend to be dominant at criticality It is argued that liquid-like hydrostatic stresses are large and will tend to lead to dominant scalar elasticity in many situations as they are known to do for rubbers. Some new results on the elastic properties of a Sierpinski gasket are presented in an appendix. J. Physique 45 (1984) 1939-1945 DTCEMBRE 1984,
منابع مشابه
The stability and numerical analysis of martensitic microstructure
The elastic energy density in the geometrically nolinear theory of martensite is minimized on multiple, rotationally invariant energy wells. For such energy densities , the gradients of energy-minimizing sequences can oscillate between the energy wells to approach the lowest energy. In this paper, we describe a stability theory for this microstructure, and we apply this stability theory to the ...
متن کاملLength scales at which classical elasticity breaks down for various materials.
At what characteristic length scale does classical continuum elasticity cease to accurately describe small deformation mechanical behavior? The two dominant physical mechanisms that lead to size dependency of elastic behavior at the nanoscale are surface energy effects and nonlocal interactions. The latter arises due to the discrete structure of matter and the fluctuations in the interatomic fo...
متن کاملAnisotropic perturbations due to dark energy
A variety of observational tests seem to suggest that the universe is anisotropic. This is incompatible with the standard dogma based on adiabatic, rotationally invariant perturbations. We point out that this is a consequence of the standard decomposition of the stress-energy tensor for the cosmological fluids, and that rotational invariance need not be assumed, if there is elastic rigidity in ...
متن کاملEffect of morphology and nonbounded interface on dielectric properties of plasma sprayed BaTiO3 Coating
In this research, BaTiO3 thick deposit has been successfully sprayed by air plasma spray. The microstructure and dielectric properties of thick films were investigated by secondary electron microscopy (SEM) and LCR meter respectively. XRD measurement was carried out on plasma sprayed BaTiO3. The results illustrate differences in the crystal structure between plasma sprayed coatings and feed sto...
متن کاملA DETAILED STUDY TOWARD THE NANO -CRYSTALLIZATION OF α – Fe IN Fe55-X Cr18Mo7B16C4 BULK AMORPHOUS ALLOY
Crystallization of α – Fe phase during annealing process of Fe55Cr18Mo7B16C4 bulk amorphous alloy has been evaluated by X- ray diffraction, differential scanning calorimetric tests and TEM observations in this research. In effect, crystallization mechanism and activation energy of crystallization were evaluated using DSC tests in four different heating rates (10, 20, 30, 40 K/min). A two -st...
متن کامل