An analytical, dynamic model of the human knee joint has been developed to simulate the unloaded knee joint behaviour in 6 degrees of freedom. It is based on extensive robot-based measurements of the elastic properties of a human cadaver knee joint. The measured data are compared with data from the literature to ensure that a proper database for modelling is used. The analytical modelling of th...

The analytical solution is given for a vibrating rigid core sphere, oscillating up and down without volume change, situated at the center of an elastic material spherical shell, which in turn inside infinite (possible different) medium. based on symmetry considerations continuity displacement both shell - outer medium boundaries as well stress edge shell. Furthermore, separation into longitudin...

In this paper we introduce TAS (Transactional Auto Scaler), a system that relies on a novel hybrid analytical/machine-learning-based forecasting methodology in order to accurately predict the performance achievable by transactional applications executing on top of transactional in-memory data stores, in face of changes of the scale of the system. Applications of TAS range from on-line selfoptim...

Analytical integrations, in the framework of linear elastic problems modelled by means of boundary integral equations, have been considered in a previous publication (Int. J. Numer. Methods Eng. 2002; 53(7):1695–1719): the present note aims at extending the subject to linear elastic fracture mechanics. In such a context, special shape functions have been recently proposed (SIAM J. Appl. Math. 1...

An automated computational strategy is devised for the ab initio determination of the full fourth-rank piezo-optic tensor of crystals belonging to any space group of symmetry. Elastic stiffness and compliance constants are obtained as numerical first derivatives of analytical energy gradients with respect to the strain and photo-elastic constants as numerical derivatives of analytical dielectri...

We present a study of the bend angle distribution of semiflexible polymers of short and intermediate lengths within the wormlike chain model. This enables us to calculate the elastic response of a stiff molecule to a bending moment. Our results go beyond the Hookean regime and explore the nonlinear elastic behavior of a single molecule. We present analytical formulas for the bend angle distribu...

The aim of this study is to develop a simple phenomenological model for the elastic moduli of a composite material formed by localized inclusions embedded in an elastic matrix. It is assumed that the material can be characterised by only two aggregated parameters, viz., volume fraction of inclusions and their resonance frequency within the elastic matrix. The values of these two parameters are ...

We consider radial hedgehog equilibrium configurations of the tensor order parameter in spherical droplets of nematic liquid crystals modeled by free energies of Landau-de Gennes type. We show that such configurations must cease to be metastable at sufficiently low temperatures in droplets of sufficiently large radii for all but a very limited range of elastic-constant ratios, which are very ne...

Cellular communication networks are plagued with redundant capacity, which results in low utilization and costeffectiveness of network capital investments. The redundant capacity can be exploited to deliver secondary traffic that is ultra-elastic and delay-tolerant. In this paper, we propose an analytical framework to study the capacity-delay tradeoff of elastic/secondary traffic in large scale...

The work present in this paper was developed under the PhD thesis entitled “Application of Data Mining Techniques to the Design of Jet Grouting Columns”. The main goals of this study are the developing of analytical model, by application of Data Mining (DM) techniques, able to estimate the mechanical and physical properties of Jet Grouting (JG) material, namely the evolution of uniaxial compres...