Stress Analysis for Fiber-Reinforced Materials

DOI10.1016/S0065-2156(08)70308-9zbMath0475.73060OpenAlexW1830333253MaRDI QIDQ3930744

A. C. Pipkin

Publication date: 1979

Published in: Advances in Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0065-2156(08)70308-9

zbMATH Keywords

boundary value problemsstressstress-strain relationskinematic constraintsaxisymmetric problemsreactionslines of discontinuityhalf-plane problemsinextensible theorycrack-tip stress singularitytraction boundary value problemssingular fibersedge layersfiber densitycrack and tearingenergetic admissibilityfiber fluxgeneral solution in terms of stress functionsinterior layer through crack tipsmall, plane deformations of ideal composites

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Anisotropy in solid mechanics (74E10) Linear elasticity with initial stresses (74B10) Stress concentrations, singularities in solid mechanics (74G70) Composite and mixture properties (74E30) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Brittle damage (74R05)

Related Items (17)

Gradient elasticity theory for fiber composites with fibers resistant to extension and flexure ⋮ Infinitesimal plane wrinkling of inextensible networks ⋮ Minimization of shear energy in two dimensional continua with two orthogonal families of inextensible fibers: the case of standard bias extension test ⋮ Mechanics of an elastic solid reinforced with bidirectional fiber in finite plane elastostatics: complete analysis ⋮ Bending produced by dislocations in a beam ⋮ Dynamic flexural deformations in an ideal fibre-reinforced slab ⋮ Fiber-reinforced materials: finite elements for the treatment of the inextensibility constraint ⋮ Designing a light fabric metamaterial being highly macroscopically tough under directional extension: first experimental evidence ⋮ Discontinuous Galerkin approximations for near-incompressible and near-inextensible transversely isotropic bodies ⋮ Numerical solutions of the traction problem for a fibre-reinforced material by an integral-equation method ⋮ Linear theory for the mechanics of third-gradient continua reinforced with fibers resistance to flexure ⋮ Stress in elastic plates reinforced by fibres lying in concentric circles ⋮ Longitudinal waves in an elastic rod caused by sudden damage to the foundation ⋮ Load-transfer from fibre to anisotropic half-space for dilute composites ⋮ Mechanics of fiber composites with fibers resistant to extension and flexure ⋮ Dynamic fracture of idealized fiber-reinforced materials ⋮ Stress intensity factors for cross-ply composites

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