Correction of the existing solutions for hole/crack problems of composite laminates under coupled stretching-bending deformation

Chia Wen Hsu, Chyanbin Hwu

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

For unsymmetric composite laminates under in-plane forces, transverse loads, out-of-plane bending and/or twisting moments, the stretching and bending deformations would be both induced and coupled together. Through Stroh-like formalism for coupled stretching-bending analysis, several analytical solutions for holes/cracks in laminates were presented in the literature. However, due to the improper use of traction-free hole boundary conditions, most of the existing solutions provide wrong solutions and their associated deflections evaluated by numerical integration of slopes have the multi-valued problem. By revising the traction-free hole boundary condition and setting the single-valued requirement for deflection, some existing solutions are corrected in this paper. The considered problems of holes/cracks in laminates include the one (1) under uniform stretching and bending moment, (2) under uniform heat flow in thickness direction, (3) for electro-elastic laminates, and (4) for Green's functions with concentrated forces and moments in three orthogonal directions. We not only provide the corrected solutions, but also derive the explicit closed-form solutions of deflection for the above mentioned problems. Additionally, with the corrected Green's functions, a special boundary element method is developed to assist the verification of corrected solutions and to show its accuracy and efficiency on the problems with holes/cracks in laminates.

Original languageEnglish
Article number113154
JournalComposite Structures
Volume260
DOIs
Publication statusPublished - 2021 Mar 15

All Science Journal Classification (ASJC) codes

  • Ceramics and Composites
  • Civil and Structural Engineering

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