A Minimum Principle for Structural Stability*
نویسندگان
چکیده
where A, B are arbitrary real constants, and a is an arbitrary complex number. It is readily confirmed by direct computation that the constants A, B, and a give rise to an arbitrary, uniform hydrostatic stress-field in the image domain R*. The constant k, on the other hand, affects merely the scale of the image stress-distribution. We may therefore put A = B = a = Q, k = 1. This completes the proof.
منابع مشابه
مطالعه پایداری ساختاری فازهای fcc-CHX در چارچوب نظریه تابعی چگالی
Recently, a new carbon modification, namly n-diamond, have been reported, whose structure is still a matter of debate. It is important to note that the synthesis of n-diamond was carried out in the presence of hydrogen or methan. In this work we evaluate the structural stability of five fcc-CHx phases by means of first-principle calculation. The total energy is obtained as a function of the is...
متن کاملAb initio (first principle) material modeling study on Lio adsorbed by palladium-cobalt (PdCo) nanoparticles
PdCo subnanoalloys have been commonly used as a catalytic material in some important chemicalreactions, involving in fisher-tropsch reactions, and oxygen reduction reactions. In terms ofunderstanding the role of catalysis, these smallest bimetallic nanoparticles provide the simplestprototypes of Pd-Co bimetallic catalysts for different compositions. In this study, the effect o...
متن کاملPontryagin's Minimum Principle for Fuzzy Optimal Control Problems
The objective of this article is to derive the necessary optimality conditions, known as Pontryagin's minimum principle, for fuzzy optimal control problems based on the concepts of differentiability and integrability of a fuzzy mapping that may be parameterized by the left and right-hand functions of its $alpha$-level sets.
متن کاملFirst principle study of structural and electronic transport properties for electrically doped zigzag single wall GaAs nanotubes
Emerging trend in semiconductor nanotechnology motivates to design various crystalline nanotubes. The structural and electronic transport properties of single walled zigzag Gallium Arsenide nanotubes have been investigated using Density Functional Theory (DFT) and Non-Equilibrium Green’s Function (NEGF) based First Principle formalisms. Structural stability and enhanced electronic transmission ...
متن کاملLong-term stability analysis of goaf area in longwall mining using minimum potential energy theory
Estimation of the height of caved and fractured zones above a longwall panel along with the stability conditions of the goaf area are very crucial to determine the abutment stresses, ground subsidence, and face support as well as designing the surrounding gates and intervening pillars. In this work, the height of caving-fracturing zone above the mined panel is considered as the height of destre...
متن کاملFirst principle study of structural and electronic transport properties for electrically doped zigzag single wall GaAs nanotubes
Emerging trend in semiconductor nanotechnology motivates to design various crystalline nanotubes. The structural and electronic transport properties of single walled zigzag Gallium Arsenide nanotubes have been investigated using Density Functional Theory (DFT) and Non-Equilibrium Green’s Function (NEGF) based First Principle formalisms. Structural stability and enhanced electronic transmission ...
متن کامل