Geodesic
Reinforcement of Planar Structures along Orthogonal Curvilinear Trajectories
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 5 (2010), pp. 96-104

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The resolving equations for linear orthotropic non-homogeneous elasticity problem, including the deformation compatibility equation, are obtained in cases of bipolar, elliptic, parabolic, hyperbolic and cardioidal coordinate systems for planar constructions extreme deformations detection in the context of planar problem. The type of obtained partial differential equations system for deformations tenser components is examined using the determinantal method.
Keywords: reinforcement, structural model, curvilinear trajectories. 
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     author = {Yu. V. Nemirovsky and N. A. Feodorova},
     title = {Reinforcement of {Planar} {Structures} along {Orthogonal} {Curvilinear} {Trajectories}},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
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Yu. V. Nemirovsky; N. A. Feodorova. Reinforcement of Planar Structures along Orthogonal Curvilinear Trajectories. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 5 (2010), pp. 96-104. http://geodesic.mathdoc.fr/item/VSGTU_2010_5_a10/