Skip to main content
SpringerLink
Log in

Role of elasto-plastic analysis under cyclic loading in fatigue crack growth studies

  • Special Issue On Computational Structural Mechanics
  • Published:
Sadhana Aims and scope Submit manuscript

Abstract

Linear Elastic Fracture Mechanics (LEFM) has been widely used in the past for fatigue crack growth studies, but this is acceptable only in situations which are within small scale yielding (SSY). In many practical structural components, conditions of SSY could be violated and one has to look for fracture criteria based on elasto-plastic analysis. Crack closure phenomenon, one of the most striking discoveries based on inelastic deformations during crack growth, has significant effect on fatigue crack growth rate. Numerical simulation of this phenomenon is computationally intensive and involved but has been successfully implemented. Stress intensity factors and strain energy release rates lose their meaning,J-integral (or its incremental) values are applicable only in specific situations, whereas alternate path independent integrals have been proposed in the literature for use with elasto-plastic fracture mechanics (EPFM) based criteria. This paper presents certain salient features of two independent finite element (numerical) studies of relevance to fatigue crack growth, where elasto-plastic analysis becomes significant. These problems can only be handled in the current day computational environment, and would have been only a dream just a few years ago.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Atluri S N, Nishioka T l 1982 Incremental path-independent integrals in inelastic and dynamic fracture mechanics.Eng. Fract. Mech. 10: 209–244

    Google Scholar 

  • Blom A F, Holm D K 1985 An experimental and numerical study of crack closure.Eng. Fract. Mech. 22: 997–1011

    Article  Google Scholar 

  • Broek D 1978Elementary engineering fracture mechanics, (Alphen aan den Rijn: Sijthoff and Noordhoff)

    MATH  Google Scholar 

  • Brombolich L J 1973 Elastic-plastic analysis of stresses near fastener holes. AIAA paper 73-252, 11th Aerospace Sciences meeting, Washington DC

  • Brust F W, Nishioka T, Atluri S N 1985 Further studies on elasto-plastic stable fracture utilizing theT* integral.Eng. Fract. Mech. 22: 1079–1103

    Article  Google Scholar 

  • Chermahini R G, Shivakumar K N, Newman J C 1988 Three-dimensional finite element simulation of fatigue crack growth and closure. ASTM STP 982, pp 398–413

    Google Scholar 

  • Dowling N E 1977 Crack growth during low-cycle fatigue of smooth axial specimens. ASTM STP 637, pp 97–121

    Google Scholar 

  • Elber W 1970 Fatigue crack closure under cyclic tension.Eng. Fract. Mech. 2: 37–45

    Article  Google Scholar 

  • Forman R G, Kerrney V E, Engle R M 1967 Numerical analysis of crack propagation under cyclic loaded structures.J. Basic Eng. 89: 459–464

    Google Scholar 

  • Hutchinson J W 1968 Singularity behavior at the end of a tensile crack in a hardening material.J. Mech. Phys. Solids 16: 13–31

    Article  MATH  Google Scholar 

  • Hutchinson J W, Paris P C 1979 Stability analysis ofJ-controlled crack growth. ASTM STP 668, pp 37–64

    Google Scholar 

  • Lalor P L, Sehitoglu H 1988 Fatigue crack closure outside small scale yielding regime. ASTM STP 982, pp 342–360

    Google Scholar 

  • McClung R C, Sehitoglu H 1989 On the finite element analysis of fatigue crack closure-1, basic modeling issues -2, Numerical results. J. Eng. Fract. Mech. 33: 237–272

    Article  Google Scholar 

  • Nakagaki M, Atluri S N 1980 Elastic-plastic analysis of fatigue crack closure in Mode I and II. AIAA J. 18: 1110–1117

    Google Scholar 

  • Nakagaki M, Chan W H, Atluri S N 1979 A finite element analysis of stable crack growth. ASTM STP 668, pp 195–213

    Google Scholar 

  • Newman J C Jr 1976 A finite element analysis of fatigue crack closure. ASTM STP 590, pp 281–301

    Google Scholar 

  • Newman J C Jr, Armen H Jr 1975 Elasto-plastic analysis of a propagating crack under cyclic loading.AIAA J. 13: 1017–1023

    Article  MATH  Google Scholar 

  • Ogura K, Ojhi K 1977 FEM analysis of crack closure and delay effects in fatigue crack growth under variable amplitude loading.Eng. Fract. Mech. 9: 471–480

    Article  Google Scholar 

  • Paris P C, Gomez M P, Anderson W E 1961Trends Eng. 13: 9–14

    Google Scholar 

  • Prager W 1955 The theory of plasticity. A survey of recent achievements.Proc. Inst. Mech. Eng. 169: 41

    MathSciNet  Google Scholar 

  • Rice J R 1968 A path independent integral and the approximate analysis of strain concentration by notches and cracks.J. Appl. Mech. 35: 379–386

    Google Scholar 

  • Rice J R, Rosengren G F 1968 Plane strain deformation near a crack tip in a power law hardening material.J. Mech. Phys. Solids 16: 1–12

    Article  MATH  Google Scholar 

  • Satish Chander, Prathap G 1989 A field consistent formulation for eight-noded solid finite elements.Comput. Struct. 33: 345–355

    Article  MATH  Google Scholar 

  • Satish Kumar K, Dattaguru B, Ramamurthy T S, Raju K N 1994 An algorithm for elastic-plastic contact stress analysis of interference fit pin joints.Int. J. Eng. Anal. Design 2: 71–82

    Google Scholar 

  • Satish Kumar K, Dattaguru B, Ramamurthy T S, Prakash R V, Raju K N 1995 Presented at 27th National symposium on fatigue and fracture mechanics, Stress intensity estimation for pin loaded lug joints under elastic and inelastic loading. American Society for Testing Materials (ASTM), Williamsburg, Virginia

    Google Scholar 

  • Seshadri B R 1995Numerical simulation and experimental correlation of crack closure phenomenon under cyclic loading. Ph D thesis, Indian Institute of Science, Bangalore

    Google Scholar 

  • Shih C F, Hutchinson J W 1976 Fully plastic solutions and large scale yielding estimates for plane stress crack problems.J. Eng. Mater. Tech. H98: 289–295

    Google Scholar 

  • Sunder R, Dash P K 1982 Measurement of fatigue crack closure through electron microscopy.Int. J. Fatigue 4: 97–105

    Article  Google Scholar 

  • Wells A A 1962 Unstable crack propogation in metals: Damage and fast fracture.Proc of crack propagation symposium (London; College of Aeronautics) 1: 210–230

    Google Scholar 

  • Ziegler H 1967 A modification of Prager’s hardening rule.Q. Appl. Math. 17: 55–65

    MathSciNet  Google Scholar 

  • Zienkiewicz O C, Valliappan S, King I P 1969 Elasto-plastic solutions of engineering problems ‘initial stress’ finite element approach.Int. J. Numer. Methods in Eng. 1: 75–100

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Aerospace Engineering, Indian Institute of Science, 560 012, Bangalore, India

    B Dattaguru

Authors
  1. B Dattaguru
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to B Dattaguru.

Additional information

The work presented in this paper is supported by sponsored research projects of the Aeronautics R & D Board, Government of India and their support is acknowledged.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dattaguru, B. Role of elasto-plastic analysis under cyclic loading in fatigue crack growth studies. Sadhana 21, 577–595 (1996). https://doi.org/10.1007/BF02744104

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02744104

Keywords

Search

Navigation