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Showing 1 to 6 of 6 for “"von Karman equations"”.
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Large Deflections of Structures With Small Elastic Strains (Nonlinear, Rotations)
… such as Kirchhoff's theory for rods and the von Karman equations for plates, can be used. The results confirm the validity of Kirchhoff's rod theory within the range of small-strain, linear elastic behavior. For the plate problems considered the von Karman equations are found to provide …
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Asymptotic solutions of a circular plate problem
… analyze the first approximations to the Reissner equations for the separate cases of small and large finite deformations. In the case of small finite deformations, where the first approximations to Reissner's equations correspond to the von Karman equations, we examine the limiting cases of …
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Unsymmetrical large deflections of an annular plate
While solutions to the nonlinear von Karman equations for large deflections of thin plates have been presented for annular plates under certain axisymmetric/loading conditions, little work has been done with unsymmetrical large deflections. In this investigation a systematic mathematical iteration …
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Experimental and theoretical studies of elastic instability in growing yeast colonies and thin sheets
… gaussian curvature surfaces are solutions of the von Karman equations. When two such surfaces intersect, the adjoint surfaces remains a solution everywhere except at the boundary of intersection. However, for small plate thickness and the asymptotic limit, it is possible to construct a solution …
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General nonlinear plate theory applied to a circular plate with large deflections
… nonlinear first approximation thin plate tensor equations in undeformed coordinates valid for large strains, rotations and displacements are developed based on the single assumption of plane stress. These equations are then reduced to the exact tensor and physical component equations for …
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A C<sup>0</sup> Interior Penalty Method for the von Kármán Equations
… a C<sup>0</sup> interior penalty method for the von Kármán equations for nonlinear elastic plates. We begin with a brief survey on frequently used finite element methods for the von Kármán equations. After addressing some topics from functional analysis in the preliminaries, we present existence, …