Metabolic effects of vitamin E and selenium

Green, J.

doi:10.1079/pns19620031

Cited by 7 publications

(5 citation statements)

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“…It is interesting that all the three components of this artificial system can act as vitamin E substitutes. Another recent finding, dealt with by Green (1962), has been that the levels of ubiquinone in the tissues may be influenced by the intake of a-tocopherol and of Se. T h e evidence for this view must obviously be judged on its own merits.…”

Section: Selenium and Vitamin E In Nutrition '83mentioning

confidence: 99%

The history of selenium—vitamin E interrelationships

Moore

1962

Proc. Nutr. Soc.

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Research CouncilI count it both an honour and a pleasure to be invited to come 'north of the border' to give the opening paper of this Symposium. The presentation of my paper, however, will not be easy, in view of the extreme complexity of the field. Before forming a balanced opinion about the dietary importance of selenium we must know something about the mode of action of vitamin E per se. This subject was already very complicated before Se came into the story, and I could indeed occupy the whole space allotted to the printed version of my paper by giving a list of references. I cannot really do more, therefore, than deal with vitamin E itself in rough outline, and so leave time to review, only a little more fully, the recent work on Se.

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Section: Selenium and Vitamin E In Nutrition '83mentioning

confidence: 99%

The history of selenium—vitamin E interrelationships

Moore

1962

Proc. Nutr. Soc.

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“…The stress vector T +1, associated with a surface in the deformed body whose unit normal in its position in B o is n and measured per unit area of B o , is given by (2)(3)(4)(5)(6) In the present work we restrict attention to isothermal deformations so that…”

Section: I=^=rfg} (2 ' 4)mentioning

confidence: 99%

“…In this subsection we suppose that the plate is deformed from its initial state B o by stresses applied to the edge surface S only. Thus from (2-6) and (3)(4) T 33 = 0 ) T 3/? = 0 ( £ = + l ) .…”

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confidence: 96%

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A boundary-layer theory for plates with initial stress

Laws

1966

Math. Proc. Camb. Phil. Soc.

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“…Subsequent work by means of the asymptotic integration approach includes the present writer's results for the problem of the edge effect in symmetrical bending of shells of revolution [16], results by Reiss which recover our earlier results for symmetrical bending of circular cylindrical shells, supplemented by considerations on the influence of edge zones with width of the order of the shell thickness [11], results by Reiss which are equivalent to parts of Johnson's results for unsymmetrical bending, without consideration of the need for separate ex-pansions associated with separate length scales [12], and results by Green on shells of arbitrary shape, including recognition of the need to account a priori for distinct length scales associated with distinct portions of the solutions to be determined by means of the resulting shell theory [2,3].…”

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confidence: 96%

On the Derivation of the Theory of Thin Elastic Shells

Reissner

1963

Journal of Mathematics and Physics

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1.Introduction. The theory of thin elastic shells is defined for present purposes as a system of two-dimensional differential equations and boundary conditions for the determination of three-dimensional states of stress and displacement in elastic bodies bounded by two parallel or nearly parallel surfaces in space and a third surface which is perpendicular or nearly perpendicular to the other two surfaces.Shell theory when defined in this way is an approximate theory in the sense that exact solutions of the equations of a shell theory are, in general, approximate solutions of the original three-dimensional problem.For the purpose of the present considerations, we distinguish two kinds of approaches to the derivation of shell theory. The first approach depends on the introduction of plausible assumptions concerning the nature of the variations of stresses and displacements across the thickness of the shell into suitably averaged forIllS of the basic three-dimensional elasticity equations, either directly or by -yay of the direct methods of the calculus of variations. Examples of this ap-:)foach are the derivations by Love [9] The second approach to the derivation of shell theory depends on the idea that the two dimensional equations of such a theory should be the result of applying a method of asymptotic integration to the original three-dimensional system of differential equations of the theory of elasticity. The present writer's outline of such an analysis for the case of rotationally symmetric deformations of circular cylindrical shells-the principal element of which consisted in the introduction of appropriately scaled dimensionless variables into the equations of the three-dimensional theory, at the outset, anticipating the results of the asymptotic two-dimensional theory-was developed in the dissertation of Johnson [4] and in a subsequent paper by Johnson and the writer [6]. Johnson's dissertation, as well as a later paper of his [5], also deals with the problem of unsymmetrical deformations of circular cylindrical shells, where it is found that separate asymptotic expansions of the solution of the three-dimensional problem are needed to establish separate portions of the equations of shell theory which are associated with separate characteristic-length properties of the solutions of these equations.Subsequent work by means of the asymptotic integration approach includes the present writer's results for the problem of the edge effect in symmetrical bending of shells of revolution [16], results by Reiss which recover our earlier results for symmetrical bending of circular cylindrical shells, supplemented by considerations on the influence of edge zones with width of the order of the shell thickness [11], results by Reiss which are equivalent to parts of Johnson's results for unsymmetrical bending, without consideration of the need for separate ex-

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Metabolic effects of vitamin E and selenium

Cited by 7 publications

References 29 publications

The history of selenium—vitamin E interrelationships

The history of selenium—vitamin E interrelationships

A boundary-layer theory for plates with initial stress

On the Derivation of the Theory of Thin Elastic Shells

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