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Strength and Fracture Criteria by Professor Antanas Ziliukas

Strength and Fracture Criteria by Professor Antanas Ziliukas

This publication presents an analysis of strength and fracture criteria. The author offers a new, more precise, evaluative theoretical decision procedure in regard to mechanical behaviour of materials and structures, which is proven through experiments. It shows the necessity to evaluate the mechanical behaviour of materials and structures in cases of a complicated state of stress and different anisotropicity. This new criteria of strength and fracture evaluation should be applied during the creation of new materials, structures and technologies. It is intended to the scientists of mechanics and construction engineering, together with graduate students and engineering staff.
ISBN 978 0 9552994 5 2, 1 vol, 170pps


  1. Strength Criteria
    1.1 Strength conditions. Limit surfaces
    1.2 Strength theories, where limit surfaces are described as polyhedral
    1.3 Strength theories, where limit surfaces have a form of a spin
    1.4 Strength theories for anisotropic bodies
  2. Classification and Comparison of Strength Criteria
    1. Parameters of strength criteria
    2. Materials insensitive to hydrostatic pressure
      2.2.1 Tresca's yield criterion
      2.2.2 Mizes's yield criterion
    3. Materials sensitive to hydrostatic pressure
      2.3.1 Rankin's criterion
      2.3.2 Mohr's and Coulomb's criterion
      2.3.3 Drucker's and Prager's criterion
    4. Comparison of criteria
      2.4.1 Tresca's and Mizes's criteria
      2.4.2 Mohr's and Coulomb's, Rankin's, Drucker's and Prager's criteria
      2.4.3 Calculation of limit surfaces by applying various criteria of limit state
      2.4.4 Calculation of plastic zone crack on the tip referring to different criteria of limit states
  3. Universal Strength Criterion
  4. Strength Criterion Offered by the Author
    4.1 Theoretical solution
    4.2 Validity of the proposed criterion
  5. Criteria of Brittle Fracture
    5.1 A. Griffith's theory of fracture
    5.2 J. Irwin's theory of fracture
    5.3 Criteria of brittle fracture of materials during dynamic loads
  6. Criteria of brittle fracture of materials during dynamic loads
    6.1 Opening of crack
    6.2 Energetic integral
  7. Criteria of Local Fracture
    7.1 Average criterion of fracture
    7.2 Structural criterion of local fracture
    7.3 Fracture of composites
    7.4 Fracture and stability of thin structures
  8. Brittle and Plastic Fracture
    8.1 Critical analysis of criteria for contemporary fracture mechanics 8.2 Fracture evaluation schema
    8.3 Calculation of fracture loads of limit viscosity
  9. Abruptive Fracture 9.1 Tension and compression fracture
    9.2 Characteristics of resistance to fracture
    9.3 Restriction of strain on the tip of crack
    9.4 Problems of persistence for structural elements with cracks
  10. Dynamic Resistance to Growth of Crack 10.1 Criteria of fracture References 10.2 Methods ascertaining fracture characteristics
  11. Two-Parameter Fracture Criteria
    11.1 Introduction
    11.2 The limit of resistance to growth of crack
    11.3 Strain criteria of fracture
    11.4 Two-parameter criterion offered by the author
    11.5 Validity of the proposed fracture criterion
  12. Growth of Crack during Varying Load
    12.1 Growth of fatigue cracks
    12.2 Growth of crack during complex load
    12.3 Probabilistic evaluation of crack growth determination References
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