Theory of Elasticity

By B. Aadnøy, R. Looyeh. 2012

5,958 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/040acf2f208140998e8452e48584911468355df6

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In Mechanics of Materials

Citations in the corpus

Analysis of FGM Beams by Means of Classical and Advanced Theories (2010, methodology): “[23] developed a finite element based on Timoshenko’s beam theory (TB) (see Timoshenko [24, 25] and Timoshenko and Goodier [26]) in which the shape functions have been derived from the general exact solution of the static governing equations.”
Computational model of 18650 lithium-ion battery with coupled strain rate and SOC dependencies (2016, methodology): “vpt and vtp are estimated by the stability relationships as follows [32]:”
A level set enhanced natural kernel contact algorithm for impact and penetration modeling (2015, background): “As shown in Figure 18, the numerical prediction of the contact radius is in fairly good agreement with the analytical Hertz solution [48].”
Unified formulation of geometrically nonlinear refined beam theories (2018, result): “In Figures 5 and 6, some deformed configurations at notable equilibrium statuses are also given and the results by the present beam formulation are compared to analytical EBBM solutions provided in [64].”
Material tailoring and analysis of functionally graded isotropic and incompressible linear elastic hollow cylinders (2010, methodology): “One could also divide the thickness of an FG cylinder into several layers, regard material properties in each layer as uniform, and use the approach outlined in Timoshenko and Goodier’s book [7] for composite cylinders.”
Fracture and debonding in lithium-ion batteries with electrodes of hollow core–shell nanostructures (2012, background): “…by s r À s q ¼ s Y , giving s q ¼ Às Y 2log r a þ 1 ; a r B (4) The stress fields in the elastic shell take the familiar solutions of Lamé problems [36], with the radial stress s r ¼ À2s Y log B a B 3 C 3 À B 3 C 3 r 3 À 1 ; B < r C; (5) and the hoop stress s q ¼ 2s Y log B a B 3 C 3 À B 3 C 3 2r…”
High-speed propulsion of flexible nanowire motors: Theory and experiments (2011, background): “(radius a = 50nm, length L = 4μm) as a classical EulerBernoulli beam [35].”
Force Fluctuations within Focal Adhesions Mediate ECM-Rigidity Sensing to Guide Directed Cell Migration (2012, background): “Because strain decays with distance from the point of application (Landau and Lifshitz, 1970), nonlinear strain stiffening of the PAA only occurs close to the needle, creating a local rigidity gradient toward the needle.”
Inhomogeneous Weyl and Dirac Semimetals: Transport in Axial Magnetic Fields and Fermi Arc Surface States from Pseudo-Landau Levels (2016, background): “Electronic and lattice degrees of freedom are inevitably intertwined in solid-state physics [1].”
Nanomechanical resonators and their applications in biological/chemical detection: Nanomechanics pri (2011, background): “The vibrational motion of a nanobeam,which is operated in vacuumor air under appliedmechanical stress σ0, is described as [68,69,71,121]”
Collision modelling for the interface-resolved simulation of spherical particles in viscous fluids (2012, background): “In technically relevant cases the contact time is long compared to the lowest mode of vibration of the two spheres (Timoshenko & Goodier 1970).”
Optimisation of functionally graded lattice structures using isostatic lines (2017, methodology): “The angle θ defining the principal stress direction at a point along with the derivation of the principal stresses from the global stress components are defined in [30].”
Design of planar isotropic negative Poisson’s ratio structures (2015, background): “Our starting points are the following two observations: (i) sheets with periodic arrays of elongated elliptical voids [12] and cuts [11,19,32,33] can exhibit auxetic behavior; (ii) two-dimensional crystalline lattices with six-fold or three-fold rotational symmetry are transversely isotropic [34,35]”
Development of a cell centred upwind finite volume algorithm for a new conservation law formulation in structural dynamics (2013, neutral): “Rather than displaying the matrices A1 and A2 separately, it is essential to perform the linear combination (1)Plane strain is defined to be a state of strain where the strain normal to X1-X2 plane, ε33, and the shear strains, ε13 and ε23, are assumed to be zero [8, 114,159].”
On torsion and shear of Saint-Venant beams (2012, neutral): “…of contributions have been given by researchers on this basic topic of elasticity theory, to deepen both theoretical and applicative issues, among which classical treatments as (Timoshenko, 1940; Southwell, 1941; Timoshenko and Goodier, 1951; Sokolnikoff, 1956; Novozhilov, 1961; Solomon, 1968).”
A displacement smoothing induced strain gradient stabilization for the meshfree Galerkin nodal integration method (2015, background): “The analytical displacement and stress solutions of the problem are available in [33].”
Solid holography and massive gravity (2015, background): “In standard mechanical response theory [50, 51], the magnitude that encodes the material deformation is a displacement vector ui, and the direct measure of the deformation is the linearized strain tensor,”