Results 201 to 210 of about 287,072 (265)
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Journal of Non-Crystalline Solids, 1995
A one-dimensional mechanical-rheological model is devised to understand better the decay of end effects in elastic materials. The model provides a clear physical picture of this phenomenon and analysis yields explicit formulas for the decay of shear stress in terms of the relevant physical properties.
Marshall J. Leitman, Simon M. Rekhson
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A one-dimensional mechanical-rheological model is devised to understand better the decay of end effects in elastic materials. The model provides a clear physical picture of this phenomenon and analysis yields explicit formulas for the decay of shear stress in terms of the relevant physical properties.
Marshall J. Leitman, Simon M. Rekhson
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On generalized saint-venant's problems
International Journal of Engineering Science, 1986In this paper is presented the solution of a problem proposed by \textit{C. Truesdell} [e.g. North-Holland Math. Stud. 30, 495-603 (1978; Zbl 0409.73097)], for the torsion of inhomogeneous and anisotropic cylinders [see also the authors paper in J. Elasticity 6, 277-294 (1976; Zbl 0355.73013)].
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On a counterexample to a conjecture of Saint Venant
Journal of Elasticity, 1990The Saint Venant torsion problem for an elastic cylindrical bar, with cross section \(\Omega\), leads to the following elliptic equation \(-\Delta u=1\) in \(\Omega\), \(u=0\) on \(\partial\Omega\). Saint Venant's study led to the following conjecture: (C) For plane convex domains, which are symmetric about both the axes, \(| \nabla u(x)|\) attains its
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Journal of Applied Mechanics, 2000
In this paper, the first in a series of three, a procedure based on semi-analytical finite elements is presented for constructing Saint-Venant solutions for extension, bending, torsion, and flexure of a prismatic cylinder with inhomogeneous, anisotropic cross-sectional properties. Extension-bending-torsion involve stress fields independent of the axial
Dong, S. B., Kosmatka, J. B., Lin, H. C.
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In this paper, the first in a series of three, a procedure based on semi-analytical finite elements is presented for constructing Saint-Venant solutions for extension, bending, torsion, and flexure of a prismatic cylinder with inhomogeneous, anisotropic cross-sectional properties. Extension-bending-torsion involve stress fields independent of the axial
Dong, S. B., Kosmatka, J. B., Lin, H. C.
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On a Dynamical Saint Venant Principle
Journal of Applied Mechanics, 1960The dynamic behavior of a simple mechanical model composed of two Timoshenko beams connected by springs is studied. The accuracy of a quasi-static solution and of Saint Venant’s principle is studied for various rates of load application.
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Saint-Venant's principle on unbounded regions
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1990SynopsisWe consider an anisotropic non-homogeneous linear elastic material in equilibrium and occupying an open region with non-compact boundary. In both the linearised and classical linear theories the asymptotic behaviour of the solution is determined and a clear relationship established with Saint-Venant's principle on such regions.
RIONERO, SALVATORE +2 more
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2005
A prismatic rod is the body obtained by translating a plane figure S along a straight line which is perpendicular to the plane of the figure. In this case the plane figure S presents the cross-section of the rod. The axis Oz of the rod is the straight line which is the locus of the centres of inertia of the cross-sections whereas axes Ox and Oy lying ...
A. I. Lurie, Alexander Belyaev
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A prismatic rod is the body obtained by translating a plane figure S along a straight line which is perpendicular to the plane of the figure. In this case the plane figure S presents the cross-section of the rod. The axis Oz of the rod is the straight line which is the locus of the centres of inertia of the cross-sections whereas axes Ox and Oy lying ...
A. I. Lurie, Alexander Belyaev
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Minimum energy characterizations of Saint-Venant's solution to the relaxed Saint-Venant problem
Archive for Rational Mechanics and Analysis, 1966The singular importance, in both theory and practice, of SAINT-VENANT'S celebrated memoirs [1], [2] on what has long since become known as SAINTVENANT'S problem, requires no emphasis. Indeed, a comprehensive bibliography of the vast and varied literature to which the work contained in [1], [2] has given impetus would multiply the length of this ...
Sternberg, Eli, Knowles, James K.
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Archive for Rational Mechanics and Analysis, 1986
This paper is concerned with Saint-Venant's problem for linear homogeneous isotropic elastic cylinders subject to end loads only. The author presents a novel approach to the construction of the Saint-Venant solutions based on taking derivatives with respect to the axial coordinate. A question posed by C. Truesdell for the torsion problem, and solved by
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This paper is concerned with Saint-Venant's problem for linear homogeneous isotropic elastic cylinders subject to end loads only. The author presents a novel approach to the construction of the Saint-Venant solutions based on taking derivatives with respect to the axial coordinate. A question posed by C. Truesdell for the torsion problem, and solved by
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Some remarks on Saint‐Venant's principle
Mathematical Methods in the Applied Sciences, 1989AbstractWe consider a three‐dimensional hyperelastic cylinder in Ω = D × [0, ∞]. We study the asymptotic behaviour of the deformations of the cross‐sections in an equilibrium state. In this case we show that the solutions either have exponential decay or exponential growth. We give some initial conditions such that the latter case occurs.
H. A. Levine +2 more
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