Stress analysis in the vicinity of the impact zone in the transversely isotropic composite: An exact analytical solution to the 3D problem

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A relatively slow rate of loading in the low velocity impact problems and confinement of the deformation and damage to the vicinity of the impact area makes the Hertzian theory of elastic contact a useful tool for the analysis of the impact-induced stresses. For instance, Willis' explicit solution to the contact problem for a transversely isotropic half-space, whose axis of material symmetry coincides with the axis of loading (axisymmetric problem) [1] is directly applicable to the analysis of the contact stresses in quasi-isotropic composites. The in-plane properties of the quasi-isotropic composites are independent of the angular coordinate but different from the through-the-thickness properties. This makes such composites transversely isotropic with respect to the through-the-thickness direction. In contrast to the quasi-isotropic composites, the problem of transverse impact of unidirectional composites and the associated contact problem are three-dimensional, because the axis of the material symmetry, which coincides with the fiber direction, does not align with the axis of the applied impact load. This particular problem provides physical grounds for the present study. In this work a unidirectional fiber reinforced composite subjected to transverse low velocity impact in the direction perpendicular to the fiber direction is considered. A corresponding three-dimensional contact problem and its exact solution are discussed. Stress and strain fields are obtained in the form of contour integrals in the complex plane and calculated for two materials with different ratios of longitudinal and transverse Young moduli. Effect of anisotropy on the stress filed is discussed.

Original languageEnglish (US)
Title of host publicationProceedings of the American Society for Composites - 29th Technical Conference, ASC 2014; 16th US-Japan Conference on Composite Materials; ASTM-D30 Meeting
PublisherDEStech Publications
ISBN (Electronic)9781605951249
StatePublished - 2014
Externally publishedYes
Event29th Annual Technical Conference of the American Society for Composites, ASC 2014; 16th US-Japan Conference on Composite Materials; ASTM-D30 Meeting - La Jolla, San Diego, United States
Duration: Sep 8 2014Sep 10 2014

Publication series

NameProceedings of the American Society for Composites - 29th Technical Conference, ASC 2014; 16th US-Japan Conference on Composite Materials; ASTM-D30 Meeting

Other

Other29th Annual Technical Conference of the American Society for Composites, ASC 2014; 16th US-Japan Conference on Composite Materials; ASTM-D30 Meeting
Country/TerritoryUnited States
CityLa Jolla, San Diego
Period9/8/149/10/14

ASJC Scopus subject areas

  • Ceramics and Composites

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