EFFECT OF AXIAL FORCE ON DYNAMIC FRACTURE OF A BEAM OR PLATE IN PURE BENDING

The dynamic fracture response of a long beam of brittle elastic material subjected to pure bending is studied. If the magnitude of the applied bending moment is increased to a critical value, a crack will propagate from the tensile side of the beam. As an extension of previous work, a dynamically induced axial force which is generated during the fracture process is included in the analysis. Thus an improved formulation is presented by means of which the crack length, crack tip velocity, bending moment, and axial force at the fracturing section are determined as functions of time after crack initiation. It is found that the effect of the axial force becomes significant after the crack travels about one third of the beam thickness, and better agreement with experimental data is achieved. The results also apply for plane strain fracture of a plate in pure bending provided that the value of the elastic modulus is appropriately modified. /Author

• Supplemental Notes:
  • Presented at the Winter Annual Meeting of the ASME, Atlanta, Georgia, November 27-December 2, 1977.
• Corporate Authors:

  American Society of Mechanical Engineers

  Two Park Avenue
  New York, NY  United States  10016-5990
• Authors:
  • Adeli, H
  • Herrmann, G
  • Freund, L B
• Publication Date: 1977-12

Media Info

• Features: Figures; References;
• Pagination: p. 647-651
• Serial:
  • ASME Journal of Applied Mechanics
  • Volume: 44E
  • Issue Number: 4
  • Publisher: American Society of Mechanical Engineers

Subject/Index Terms

• TRT Terms: Axial compression; Beams; Bending moments; Cracking; Dynamic loads; Elasticity (Mechanics); Fracture mechanics; Modulus of elasticity; Plates (Engineering); Thickness; Velocity
• Uncontrolled Terms: Dynamic response; Fracture; Plates
• Subject Areas: Bridges and other structures; Highways;

Filing Info

• Accession Number: 00170816
• Record Type: Publication
• Files: TRIS
• Created Date: Mar 7 1978 12:00AM