Results 151 to 160 of about 57,121 (213)

Saint-Venant's Principle for a Piezoelectric Body

SIAM Journal on Applied Mathematics, 1998
The authors obtain decay estimate for the internal energy of a semi-infinite cylindrical body made of a linear piezoelectric material. At the base of the cylinder either the displacement vectors or the traction vectors are prescribed. A part of the lateral surface of the body is rigidly fixed, and the remaining part is free of tractions.
BORRELLI, Alessandra   +1 more
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Saint-venant's ladder

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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On the Flexure of a Saint-Venant Cylinder

Journal of Elasticity, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On generalized saint-venant's problems

International Journal of Engineering Science, 1986
In 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, 1990
The 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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On Saint-Venant’s Problem for an Inhomogeneous, Anisotropic Cylinder—Part I: Methodology for Saint-Venant Solutions

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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