Abstract The strong ellipticity condition plays an important role in nonlinear elasticity and in materials. In this paper, we define M-eigenvalues for an elasticity tensor. The strong ellipticity condition holds if and only if the smallest M-eigenvalue of the elasticity tensor is positive. If the strong ellipticity condition holds, then the elasticity tensor is rank-one positive definite. The e...

This paper concerns an hybrid inverse problem involving elastic measurements called Transient Elastography (TE) which enables detection and characterization of tissue abnormalities. In this paper we assume that the displacements are modeled by linear isotropic elasticity system and the tissue displacement has been obtained by the first step in hybrid methods. We reconstruct Lamé parameters of t...

Complex cloud services rely on various IaaS, PaaS, and SaaS cloud offerings. Fast (re)deployment and testing cycles, and the rapidity of changes of various dependent infrastructures and services, imply a need for continuous adaptation. Although software-based elasticity control solutions can automate various decisions through intelligent decisionmaking processes, in many cases, such adaptation ...

This paper focuses on the cross elasticity of supply concept and incidentally on the cross elasticity of demand concept. The author reviews a body of contemporaneous and older textbooks in intermediate microeconomics and industrial organization/public policy and finds that cross elasticity of supply is and has been seldom discussed in such textbooks, while cross elasticity of demand tends to be...