FURTHER CONSIDERATION OF A MATHEMATICAL MODEL FOR PROGRESSIVE FRACTURE OF A HETEROGENEOUS MATERIAL

Uniaxial stress-strain curves are derived for a mathematical model designed to represent a heterogeneous material that fails in tension by progressive fracture. These results show qualitative agreement with the behaviour of real materials including mortars and concretes. The results suggest that the behaviour that occurs, after the peak stress has been achieved in a deformation-controlled test, is dependent upon the energy required to fracture the material. If this is sufficiently high, stable fracture propagation occurs. However, if the energy required for fracture is low, failure occurs by instability under reducing stress. The conditions for the occurrence of this instability are obtained in terms of the properties of the model material and the implications of this behaviour, for materials testing and the derivation of failure criteria, are briefly discussed.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/issn/00249831
• Corporate Authors:

  An Foras Forbartha

  St Martin's House, Waterloo Road
  Dublin 4,   Ireland 
• Authors:
  • Dougill, J W
• Publication Date: 1971-3

Language

• English

Media Info

• Features: Figures; References;
• Pagination: p. 5-10
• Serial:
  • MAGAZINE OF CONCRETE RESEARCH
  • Volume: 23
  • Issue Number: 74
  • Publisher: Thomas Telford Limited
  • ISSN: 0024-9831

Subject/Index Terms

• TRT Terms: Deformation curve; Failure; Fracture mechanics; Materials; Mathematical models; Mechanical strain; Peak periods; Stresses; Tension
• Uncontrolled Terms: Fracture; Fracture energy
• Old TRIS Terms: Materials failures; Peak stresses; Uniaxial strain
• Subject Areas: Bridges and other structures; Highways; Materials;

Filing Info

• Accession Number: 00081047
• Record Type: Publication
• Source Agency: Transport and Road Research Laboratory (TRRL)
• Files: ITRD, TRIS
• Created Date: Mar 26 1975 12:00AM