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Acta Mechanica Sinica

, Volume 16, Issue 3, pp 240–253 | Cite as

Bueckner's work conjugate integrals and weight functions for a crack in anisotropic solids

  • Chen Yiheng
  • Ma Lifeng
Article

Abstract

The Bueckner work conjugate integrals are studied for cracks in anisotropic elastic solids. The difficulties in separating Lekhnitskii's two complex arguments involved in the integrals are overcome and explicit functional representations of the integrals are given for several typical cases. It is found that the pseudoorthogonal property of the eigenfunction expansion forms presented previously for isotropic cases, isotropic bimaterials, and orthotropic cases, are proved to be also valid in the present case of anisotropic material. Finally, Some useful path-independent integrals and weight functions are proposed.

Key Words

work conjugate integral weight function pseudo-orthogonal property eigenfunction expansion forms 

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Copyright information

© Chinese Society of Theoretical and Applied Mechanics 2000

Authors and Affiliations

  • Chen Yiheng
    • 1
  • Ma Lifeng
    • 1
  1. 1.School of Civil Engineering and MechanicsXi'an Jiaotong UniversityXi'anChina

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