Results 81 to 90 of about 7,063,546 (260)
Extraction of consistent shell theory equations from 3D theory of elasticity
Aims of research. Derivation of consistent equations of the theory of thin elastic shells without hypotheses and stress averaging over the shell thickness. Methods.
Evgeny M Zveryaev
doaj +1 more source
Heterogeneous-elasticity theory of instantaneous normal modes in liquids
Since decades, the concept of vibrational density of states in glasses has been mirrored in liquids by the instantaneous-normal-mode spectrum. In glasses instantaneous configurations are believed to be situated close to minima of the potential-energy ...
Stefano Mossa+3 more
doaj +1 more source
A Treatise on the Mathematical Theory of Elasticity [PDF]
MR. LOVE'S treatise is the necessary complement to Todhunter and Pearson's “History of the Theory of Elasticity,” in which an abstract is given of all the most important original memoirs bearing on this subject, arranged in historical order. A Treatise on the Mathematical Theory of Elasticity. By A. E. H. Love, Fellow and Lecturer of St. John's College,
Greenhill, A. G.+3 more
openaire +3 more sources
Surface effects on anti-plane shear waves propagating in magneto-electro-elastic nano-plates [PDF]
Material surface may have a remarkable effect on the mechanical behavior of magneto-electro-elastic (or multiferroic) structures at nano-scale. In this paper, a surface magneto-electro-elasticity theory (or effective boundary condition formulation), which governs the motion of the material surface of magneto-electro-elastic nano-plates, is established ...
arxiv
Hydrodynamic Theory of Granular Solids: Permanent, Transient and Granular Elasticity [PDF]
Although fully elastic when static, granular media become transiently elastic when being slowly sheared -- during which both the elastic energy and stress relax. Starting from this observation, we cogently derive the framework for granular hydrodynamics, a set of differential equations consistent with general principles of physics, especially ...
arxiv
Atomic scale lattice distortions and domain wall profiles
We present an atomic scale theory of lattice distortions using strain related variables and their constraint equations. Our approach connects constrained {\it atomic length} scale variations to {\it continuum} elasticity and describes elasticity at ...
Ahn, K. H.+3 more
core +1 more source
Anisotropic and dispersive wave propagation within strain-gradient framework
In this paper anisotropic and dispersive wave propagation within linear strain-gradient elasticity is investigated. This analysis reveals significant features of this extended theory of continuum elasticity. First, and contrarily to classical elasticity,
Auffray, Nicolas, Rosi, Giuseppe
core +2 more sources
Motivated by the problem of finding an explicit description of a developable narrow Moebius strip of minimal bending energy, which was first formulated by M. Sadowsky in 1930, we will develop the theory of elastic strips. Recently E.L. Starostin and G.H.M.
arxiv
The paper investigates the effects of application of nonlocal elasticity theory on electromechanical behaviors of single-walled carbon nanotubes under electrostatic actuation.
Mir M. Seyyed Fakhrabadi+2 more
doaj +1 more source
Non-Conventional Thermodynamics and Models of Gradient Elasticity
We consider material bodies exhibiting a response function for free energy, which depends on both the strain and its gradient. Toupin–Mindlin’s gradient elasticity is characterized by Cauchy stress tensors, which are given by space-like Euler–Lagrange ...
Hans-Dieter Alber+3 more
doaj +1 more source