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Finite plane deformations of elastic solids reinforced with fibers resistant to flexure: complete solution

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A model for the deformation of an elastic solid reinforced by embedded fibers is presented in which elastic resistance of the fibers to bending is incorporated. Within the framework of… Click to show full abstract

A model for the deformation of an elastic solid reinforced by embedded fibers is presented in which elastic resistance of the fibers to bending is incorporated. Within the framework of strain-gradient elasticity, we formulated the equilibrium equations and necessary boundary conditions which describe the finite plane deformations of fiber-reinforced composite materials. The resulting nonlinear partial differential equations are numerically solved by employing the finite element method. A complete analytical solutions is also obtained within the limitation of superposed incremental deformations.

Keywords: solids reinforced; plane deformations; elastic solids; finite plane; deformations elastic

Journal Title: Archive of Applied Mechanics
Year Published: 2018

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