Summary The compliance tensor related to orthotropic media is spectrally decomposed and its characteristic values are determined.
Further, its idempotent tensors are estimated, giving rise to energy orthogonal states of stress and strain, thus decomposing
the elastic potential in discrete elements. It is proven that the essential parameters, required for a complete characterisation
of the elastic properties of an orthotropic medium, are the six eigenvalues of the compliance tensor, together with a set
of three dimensionless parameters, the eigenangles θ, ϕ and ω. In addition, the intervals of variation of these eigenangles
with respect to different values of the elastic constants are presented. Furthermore, bounds on Poisson's ratios are obtained
by imposing the thermodynamical constraint on the eigenvalues to be strictly positive, as specified from the positive-definite
character of the elastic potential. Finally, the conditions are investigated under which a family of orthotropic media behaves
like a transversely isotropic or an isotropic one.
Received 5 January 1999; accepted for publication 22 June 1999 相似文献
Summary: A reduced high‐coordination lattice protein model and the Replica Exchange Monte Carlo sampling were employed in de novo folding simulations of a set of representative small proteins. Three distinct situations were analyzed. In the first series of simulations, the folding was controlled purely by the generic force field of the model. In the second, a bias was introduced towards the theoretically predicted secondary structure. Finally, we superimposed soft restraints towards the native‐like local conformation of the backbone. The short‐range restraints used in these simulations are based on approximate values of ϕ and ψ dihedral angles, which may simulate restraints derived from inaccurate experimental measurements. Incorporating such data into the reduced model required developing a procedure, which transforms the ϕ and ψ coordinates into coordinates of the protein alpha carbon trace. It has been shown that such limited data are sufficient for de novo determination of three‐dimensional structures of small and topologically not too complex proteins.
Protein folding based on secondary structure prediction and simulated torsion angles data. 相似文献
We clarify the domain needed for the mixing angles in three flavor neutrino oscillations. By comparing the ranges of the transition probabilities as functions of the domains of the mixing angles, we show that it is necessary and sufficient to let all mixing angles be in
. This holds irrespectively of any assumptions on the neutrino mass squared differences. 相似文献
The exact analysis of a network of queues with multiple products is, in general, prohibited because of the non-renewal structure of the arrival and departure processes. Two-moment approximations (decomposition methods, Whitt [9] ) have been successfully used to study these systems. The performance of these methods, however, strongly depends on the quality of the approximations used to compute the squared coefficient variation (CV) of the different streams of products.In this paper, an approximation method for computing the squared coefficient of variation of the departure stream from a multi-class queueing system is presented. In particular, we generalize the results of Bitran and Tirupati [3] and Whitt [11] related to the interference effect. 相似文献
The deformation properties of monotropic plastic foams under uniaxial deformation (compression or tension) parallel to the foam rise direction is considered. The theoretical results are obtained in the case where the volume-deformation hypothesis is assumed. The validity of neglecting the fluctuation component in calculations of the effective volume strains of foams is substantiated. A tie condition permitting the sought-for semiaxes to vary not obligatorily equally is derived. The values of Young's modulus and Poisson coefficients are obtained for a wide range of model cell stretch ratios and foam space-filling coefficients. A comparison of the theoretical results with the experimental data available is performed. 相似文献