Applied Mathematics and Mechanics (English Edition) ›› 1993, Vol. 14 ›› Issue (8): 745-752.

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ON CRACK-TIP STRAIN ENERGY RELEASE RATE IN NON-PRINCIPAL DIRECTIONS OF ELASTICITY FOR SIMPLE LAYER PLATE OF COMPOSITE MATERIALS

Yang Wei-yang, Zhang Shao-qin   

  1. Taiyuan Heavy Machinery Institute, Taiyuan
  • Received:1992-04-09 Online:1993-08-18 Published:1993-08-18

Abstract: In this paper, the fracture problem in non-principal directions of elasticity for a simple layer plate of linear-elastic orthotropic composite materials is studied.The formulae of transformation between characteristic roots, coefficients of elastic compliances in non-principal directions of elasticity and corresponding parameters in principal directions of elasticity are derived.Then, the computing formulae of strain energy release rate under skew-symmetric loading in terms of engineering parameters for principal directions of elasticity are obtained by substituting crack-tip stresses and displacements into the basic formula of the strain energy release rate.

Key words: strain energy release rate, non-principal directions of elasticity, central through crack, skew-symmetric loading, orthotropic composites

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