Strength and Fracture Criteria by Antanas Ziliukas

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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,.

7 in stock

Description

DIRECT OBSERVATIONS

Introduction

  1. Strength Criteria1.1
    Strength conditions. Limit surfaces1.2
    Strength theories, where limit surfaces are described as polyhedral1.3
    Strength theories, where limit surfaces have a form of a spin1.4
    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 criterion2.2.2
      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 criteria2.4.1
      Tresca’s and Mizes’s criteria2.4.2
      Mohr’s and Coulomb’s, Rankin’s, Drucker’s and Prager’s criteria2.4.3
      Calculation of limit surfaces by applying various criteria of limit state2.4.4
      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 Author4.1
    Theoretical solution4.2
    Validity of the proposed criterion
  5. Criteria of Brittle Fracture5.1
    A. Griffith’s theory of fracture5.2
    J. Irwin’s theory of fracture5.3
    Criteria of brittle fracture of materials during dynamic loads
  6. Criteria of brittle fracture of materials during dynamic loads6.1
    Opening of crack6.2
    Energetic integral
  7. Criteria of Local Fracture7.1
    Average criterion of fracture7.2
    Structural criterion of local fracture7.3
    Fracture of composites7.4
    Fracture and stability of thin structures
  8. Brittle and Plastic Fracture8.1
    Critical analysis of criteria for contemporary fracture mechanics8.2
    Fracture evaluation schema8.3
    Calculation of fracture loads of limit viscosity
  9. Abruptive Fracture9.1
    Tension and compression fracture9.2
    Characteristics of resistance to fracture9.3
    Restriction of strain on the tip of crack9.4
    Problems of persistence for structural elements with cracks
  10. Dynamic Resistance to Growth of Crack10.1
    Criteria of fracture References10.2
    Methods ascertaining fracture characteristics
  11. Two-Parameter Fracture Criteria11.1
    Introduction11.2
    The limit of resistance to growth of crack11.3
    Strain criteria of fracture11.4
    Two-parameter criterion offered by the author11.5
    Validity of the proposed fracture criterion
  12. Growth of Crack during Varying Load12.1
    Growth of fatigue cracks12.2
    Growth of crack during complex load12.3
    Probabilistic evaluation of crack growth determination
    References