Titlebook: Advances in Solid and Fracture Mechanics; A Liber Amicorum to Holm Altenbach,Svetlana M. Bauer,Yuri V. Petrov Book 2022 The Editor(s) (if

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Introduction and Organization of the Book given for the buckling of heavy nonuniform columns. For the case of a heavy stepped column, in which the classical Galerkin method fails, we present a modified method employing generalized functions which displays excellent convergence to the exact solution.

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,Application of GALErkin’s Method to Buckling of Functionally Graded or Stepped Columns, given for the buckling of heavy nonuniform columns. For the case of a heavy stepped column, in which the classical Galerkin method fails, we present a modified method employing generalized functions which displays excellent convergence to the exact solution.

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Dispersion of the Bending Wave in a Fluid-loaded Elastic Layer,ied. The associated three-term long-wave low-frequency expansion for a fluid-borne bending wave is derived, along with similar expansions corresponding to Kirchhoff and Timoshenko-Reissner type fluid-loaded plates. The results of comparative asymptotic analysis are presented. The role of plate inertia and fluid compressibility are discussed.

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聋子

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Printed Circuit Board (PCB) Inspectionied. The associated three-term long-wave low-frequency expansion for a fluid-borne bending wave is derived, along with similar expansions corresponding to Kirchhoff and Timoshenko-Reissner type fluid-loaded plates. The results of comparative asymptotic analysis are presented. The role of plate inertia and fluid compressibility are discussed.

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Genteel

,On Ladyzhenskaya’s Inequality and its Applications,The term Ladyzhenskaya’s inequality refers to any of a class of related functional inequalities that have played important roles in the theory of the Navier–Stokes equations. Here we present their detailed derivation and discuss potential applications beyond Navier–Stokes hydrodynamics.

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