A Key Matrix N for the Stress Singularity of the Anisotropic Elastic Composite Wedges.

• HWU Chyanbin

  Institute of Aeronautics and Astronautics, National Cheng Kung University

• OMIYA Masaki

  Department of Mechanical and Control Engineering, Tokyo Institute of Technology

• KISHIMOTO Kikuo

  Department of Mechanical and Control Engineering, Tokyo Institute of Technology

Bibliographic Information

Other Title

• Key Matrix N for the Stress Singularity of the Anisotropic Elastic Composite Wedges
• A key matrix N̂ for the stress singularity of the anisotropic elastic composite wedges

Abstract

By employing the Stroh formalism, a general solution satisfying the basic laws of two-dimensional linear anisotropic elasticity has been written in a complex variable formulation. To study the stress singularity, suitable stress functions have been assumed in the exponential form. The singular order near the anisotropic elastic composite wedge apex can then be found by satisfying the boundary conditions. Since there are many material constants and boundary conditions involved, the characteristic equation for the singular order usually becomes cumbersome or leaves in the form of a system of simultaneous algebraic equations. It is therefore difficult to get any important parameters to study the failure initiation of the composite wedges. Through a careful mathematical manipulation, a key matrix N^ that contains the information of material properties and wedge geometries has been found to be a dominant matrix for the determination of the singular order. A closed-form solution for the order of stress singularity is thus written in a simple form. Special cases such as the wedge corners, cracks, interfacial joints or cracks, a crack terminating at the interface, etc. can all be studied in a unified manner.

Journal

• JSME International Journal Series A

  JSME International Journal Series A 46 (1), 40-50, 2003

  The Japan Society of Mechanical Engineers

Keywords

• Anisotropy
• Elasticity
• Composite Material
• Stress Singularity
• Wedge

Details

• CRID: 1390001206492337920
• NII Article ID: 10016190973
• NII Book ID: AA11179396
• DOI: 10.1299/jsmea.46.40
• ISSN: 13475363
• ISSN: 13447912
• NDL BIB ID: 6407104
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I6407104
• Web Site: http://www.jstage.jst.go.jp/article/jsmea/46/1/46_1_40/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed