Tensor Transformations and Failure Criteria for the Analysis of Fiber Composite Materials

Abstract

Classical lamination theory for fiber composites is inherently limited to the two-dimensional conditions appropriate to thin shell configurations. A new derivation with appropriate tensor transformation is given which provides a fully three-dimensional lamination theory that is applicable to thick laminates involving out-of-plane stress teams. In connection with this work, a new failure criterion is derived for fiber composites, one which involves a minimum number of failure parameters and offers insight into the modes of failure. The key to both derivations is the restriction of five properties form of transversely isotropic media to a special form involving three independent properties. The reduced theoretical forms and the failure criterion are evaluated with respect to standard experimental data for fiber composites.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1991
Accession Number
ADA232238

Entities

People

  • Richard M. Christensen

Organizations

  • Lawrence Livermore National Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Composite Materials
  • Engineering
  • Equations
  • Experimental Data
  • Failure Mode And Effect Analysis
  • Fiber Reinforcement
  • Graphitic Materials
  • Laminates
  • Materials
  • Materials Laboratories
  • Materials Processing
  • Mechanics
  • Reinforced Plastics
  • Shear Modulus
  • Standards
  • Three Dimensional
  • Two Dimensional

Readers

  • Calculus or Mathematical Analysis
  • Structural Health Monitoring of Composite Structures.