Results 91 to 100 of about 167 (141)

Probabilistic approach to the Lamé equations of linear elastostatics

International Journal of Solids and Structures, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Budaev, B. V., Bogy, D. B.
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Uniqueness of the Displacement Field in Classical Linear Elastostatics

Mathematics and Mechanics of Solids, 2003
In this paper, we discuss the uniqueness of equilibrium displacement fields in classical linear elasticity theory. The conventional argument found in many texts and monographs is rendered mathematically explicit. Extensions to non-standard classes of boundary data are discussed.
Steigmann, David J., Wheeler, Lewis T.
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Theorems in linear elastostatics for exterior domains

Archive for Rational Mechanics and Analysis, 1961
Abstract : Conventional proofs of fundamental theorems in three-dimensional classical elastostatics such as the traditional proofs of the uniqueness and reciprocal theorems or of the minimum e ergy principles are generaliz d to unbounded domains exterior to a finite number of closed surfaces.
Gurtin, M. E., Sternberg, Eli
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Theorems of the Linear Elastostatic Cosserat Continuum for Exterior Domains

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1970
AbstractFor the case of exterior domains the reciprocal theorem and the uniqueness theorem of Cosserat elastostatic continuum are proved. If the displacement vector and the rotation vector are twice continuously differentiable in an open region, then they are analytic.
Hlaváček, M., Kopáčková, Marie
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Linearization stability and Signorini Series for the traction problem in elastostatics

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1983
SynopsisThis paper uses previous results of Chillingworth, Marsden and Wan on symmetry and bifurcation for the traction problem in three dimensional elastostatics to establish new results on the Signorini expansion. We show that the Signorini compatibility conditions are necessary and sufficient for linearization stability and analogies with results ...
Marsden, J. E., Wan, Y. H.
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On the traction problem in linear elastostatics

Journal of Elasticity, 1992
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On Saint-Venant's Principle for a Curvilinear Rectangle in Linear Elastostatics

Mathematics and Mechanics of Solids, 2003
Solutions of the biharmonic equation are considered in the curvilinear rectangular region 0 ≤ θ ≤ α, a ≤ r ≤ b in the presence of boundary conditions φ = φ r = 0 on the edges r = a, r = b, φ = φθ = 0 on the edge θ = α, ( r, θ) denoting plane polar coordinates, a, b, α(< 2π) being constants;
Flavin, J. N., Gleeson, B.
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Consequences of Analyticity in Linear Elastostatics and Related Systems

SIAM Journal on Mathematical Analysis, 1980
Recent results of Oleinik and Radkevich are investigated in the context of linear elastostatics, a mixture of two such solids and a possible model for a fibre reinforced elastic material. The results described establish Liouville theorems, and theorems for uniqueness, analytic continuation and continuous dependence.
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Generalized stress intensity factors in linear elastostatics

International Journal of Fracture, 1995
The solution of two-dimensional linear elastostatic problems in the neighborhood of singular points is discussed. A reliable and efficient method for computing the eigenpairs that characterize the exact solution and their coefficients, called the generalized stress intensity factors, by the finite element method is demonstrated.
Zohar Yosibash, Barna A. Szab�
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Multiple and maximal periodicity in linear elastostatics

Journal of Elasticity, 1986
The author examines the elastic state of bodies having periodic strain in a number of directions. It is shown that the displacements satisfy a ''semi-periodicity'' condition. A reciprocal theorem and a work-energy theorem are derived and discussed. The paper is theoretical.
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