Results 241 to 250 of about 432,565 (294)

Elastic Deformation of Lightweight Mirrors

Applied Optics, 1973
Results of analytical and experimental studies on the elastic deformation of lightweight mirrors under various support conditions are presented and compared. The analytical results were obtained using the finite-element method, which employs elements having stretching, bending, and twisting capability. Both structural deformation and deviation from the
R M, Richard, A J, Malvick
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Deformation of adhering elastic tubes

The European Physical Journal E, 2004
Deformation of an elastic tube adhering onto a substrate due to van der Waals attractive force is investigated by means of numerical minimization and scaling theory. The onset of the deformation is determined by the critical value of Cb/Epsilon N2, where Cb is the bending constant, epsilon is the depth of the van der Waals potential, and N is the size ...
S, Komura, K, Tamura, T, Kato
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Effective Elastic Deformation

2003
In Chapter I, we described properties of the stressed state of a medium and indicated two reasons for appearing or changing stresses. The first reason is the reaction of the medium to the change of shape of its elements. Such stresses are said to be elastic (cf. Sections 4 and 8).
Sergei K. Godunov, Evgenii I. Romenskii
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Large deformation of elastic tubes

Journal of Biomechanics, 1970
Abstract In this paper a study is made of the large deformation of elastic tubes. Analysis is confined to the case of statical deformation. The energy of deformation is considered to be a function of the three strain invariants only. In order to determine its form for actual materials it is expanded in its Taylor's series.
W H, Hoppmann, L, Wan
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Elastic Deformations of Constrained Cylinders

Journal of Applied Mechanics, 1971
The boundary-value problem for a constrained elastic cylinder under axial load is solved for the correct boundary conditions, in terms of set of infinite orthogonal Bessel and trigonometric functions. The orthogonality conditions are chosen on the basis of surface deformations noted during the experiments.
Moghe, S. R., Neff, H. F.
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Necking deformation in non-linear elasticity

Asymptotic Analysis, 1994
We study the asymptotic behaviour of the minimizers of the variational problem: min {∫a−a[ε2(u′)2(x)+W(u(x))]dx:u∈L1(−a,a),u≥0,∫a−au(x)dx=m,u(−a)=u(a)=c}, where m/2a∈(α,β) and W is a non-negative, continuous and non-convex function, with W(u) = 0 iff u∈{α,β}.
MASCOLO, ELVIRA, L. Migliaccio
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Elastically adaptive deformable models

IEEE Transactions on Pattern Analysis and Machine Intelligence, 1996
We present a technique for the automatic adaptation of a deformable model's elastic parameters within a Kalman filter framework for shape estimation applications. The novelty of the technique is that the model's elastic parameters are not constant, but spatio-temporally varying.
Dimitri Metaxas, Ioannis A. Kakadiaris
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General theory of small elastic deformations superposed on finite elastic deformations

Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1952
Using tensor notations a general theory is developed for small elastic deformations, of either a compressible or incompressible isotropic elastic body, superposed on a known finite deformation, without assuming special forms for the strain-energy function. The theory is specialized to the case when the finite deformation is pure homogeneous.
Green, A. E., Rivlin, R. S., Shield, R. T.   +2 more
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Elastic and plastic deformations

2023
Abstract The decomposition of deformation into elastic and plastic parts is introduced in terms of transformations of the material symmetry group, due to plastic evolution, pertaining to a local undistorted state of the material. This leads naturally to the notion of dislocation density, interpreted as the torsion of the underlying ...
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Finite Deformation Elasticity Theory

2019
This chapter provides the framework for the development of constitutive theories of solids by focusing on constitutive laws for nonlinearly elastic solids. These exemplify the general principles of constitutive theory that should be applied to all types of material behaviour, in particular, the notions of objectivity and material symmetry, including ...
José Merodio, Raymond Ogden
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