State space approach for stress decay in laminates

Yung Ming Wang, Jiann Quo Tarn, Chung Kung Hsu

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)

Abstract

Stress decay in laminates due to edge boundary effects are studied through a state space formulation. A self-equilibrium eigenstress field accounting for the multilayer construction of the laminate is derived using the state variables and the transfer matrix method. The eigenvalue determination requires only the solution of 6×6 determinants irrespective of the number of laminae. Through combinations of the eigenstress field and the interior stress field a complete solution valid in the boundary layer as well as in the interior region of the laminate can be obtained. For verification, the formulation is first applied to determining the eigenstress in a homogeneous anisotropic layer, and then the free edge stress decay in laminates under uniform extension is examined.

Original languageEnglish
Pages (from-to)3535-3553
Number of pages19
JournalInternational Journal of Solids and Structures
Volume37
Issue number26
DOIs
Publication statusPublished - 2000 Jun 1

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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