Articles with "form solutions" as a keyword



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WITHDRAWN: 2D closed form solutions for exact elastic analysis of multilayered shells with imperfect bonding

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Published in 2019 at "Composites Part B: Engineering"

DOI: 10.1016/j.compositesb.2019.107515

Abstract: Abstract Plane elasticity problem of a simply supported laminated cylindrical shell with imperfectly bonded orthotropic or isotropic layers subjected to static loading is considered. Imperfect bonding of layers is modeled by a linear uncoupled interfacial… read more here.

Keywords: withdrawn closed; imperfect bonding; exact elastic; closed form ... See more keywords
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Closed-form solutions for large strain analysis of cavity contraction in a bounded Mohr-Coulomb medium

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Published in 2020 at "European Journal of Environmental and Civil Engineering"

DOI: 10.1080/19648189.2020.1857309

Abstract: This paper presents rigorous analytical solutions for cavity contraction analysis of a thick-walled cylinder/sphere after an arbitrary magnitude of expansion. Closed-form solutions are given for th... read more here.

Keywords: cavity contraction; analysis; closed form; form solutions ... See more keywords
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Lie Symmetries, Closed-Form Solutions, and Various Dynamical Profiles of Solitons for the Variable Coefficient (2+1)-Dimensional KP Equations

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Published in 2022 at "Symmetry"

DOI: 10.3390/sym14030597

Abstract: This investigation focuses on two novel Kadomtsev–Petviashvili (KP) equations with time-dependent variable coefficients that describe the nonlinear wave propagation of small-amplitude surface waves in narrow channels or large straits with slowly varying width and depth… read more here.

Keywords: closed form; variable coefficient; lie symmetries; vckp equations ... See more keywords
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Approximate Closed-Form Solutions for the Rabinovich System via the Optimal Auxiliary Functions Method

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Published in 2022 at "Symmetry"

DOI: 10.3390/sym14102185

Abstract: Based on some geometrical properties (symmetries and global analytic first integrals) of the Rabinovich system the closed-form solutions of the equations have been established. The chaotic behaviors are excepted. Moreover, the Rabinovich system is reduced… read more here.

Keywords: system; rabinovich system; optimal auxiliary; auxiliary functions ... See more keywords