Skip to main content
SpringerLink
Log in

The Benefits and Challenges of Interdisciplinary Research

  • Published:
Physical Mesomechanics Aims and scope Submit manuscript

Abstract

This brief review takes a look at our joint research with Prof. G.I. Barenblatt and at some outcomes of his interdisciplinary initiatives. The research covers the issues of self-similarity in fatigue fracture, jump-like growth of fatigue cracks, and damage accumulation on different scales.

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

  1. Barenblatt, G.I. and Botvina, L.R., Similarity Methods in the Fatigue Crack Growth Study, in Proc. of the IV All–Union Conference on Fracture Physics, Kiev, 1980, pp. 398–399.

    Google Scholar 

  2. Barenblatt, G.I. and Botvina, L.R., Incomplete Self–Similarity of Fatigue in the Linear Range of Crack Growth, FatigueEng. Mater. Struct., 1980, vol. 3, no. 3, pp. 193–202.

    Article  Google Scholar 

  3. Barenblatt, G.I. and Botvina, L.R., Application of the Similarity Methods to Damage Accumulation and Fatigue Crack Growth Studies, in Defects and Fracture: Proc. I Int. Symp., Tuczno, Poland, 1980, 1982, pp. 71–79.

    Google Scholar 

  4. Barenblatt, G.I. and Botvina, L.R., A Note Concerning Power–Type Constitutive Equations of Deformation and Fracture of Solids, Int. Eng. Sci., 1982, vol. 20, no. 2, pp. 187–191.

    Article  MATH  Google Scholar 

  5. Barenblatt, G.I. and Botvina, L.R., Self–Similarity of Fatigue Failure: Damage Accumulation, Izv. ANSSSR. MTT, 1983, no. 2, pp. 88–92.

    Google Scholar 

  6. Botvina, L.R. and Barenblatt, G.I., Self–Similarity of Damage Accumulation, Probl. Prochn., 1985, no. 12, pp. 17–24.

    Google Scholar 

  7. Barenblatt, G.I. and Botvina, L.R., Self–Oscillatory Modes of Fatigue Fracture and the Formation of Self–Similar Structures at the Fracture Surface, Proc. Roy. Soc. Lond., 1993, vol. 442, pp. 489–494.

    Article  ADS  MATH  Google Scholar 

  8. Alabuzhev, P.M. and Minkevich, L.M., Fundamentals of the Theory of Similarity and Modeling, Novosibirsk: Institute of Hydrodynamics SB USSR AS, 1965.

    Google Scholar 

  9. Ivanova, V.S. and Botvina, L.R., Strength Problems and Prediction of Mechanical Properties of Metals, Izv. AN USSR. Metals, 1972, no. 6, pp. 26–33.

    Google Scholar 

  10. Barenblatt, G.I., Similarity, Self–Similarity, Intermediate Asymptotics, Leningrad: Gidrometeoizdat, 1982.

    MATH  Google Scholar 

  11. Barenblatt, G.I., Dimensional Analysis, New York: Gordon and Breach, 1987.

    Google Scholar 

  12. Paris, P.C. and Erdogan, F., A Critical Analysis of Crack Propagation Laws, J. Basis Eng., 1963, vol. 85, no. 4, pp.528–534.

    Google Scholar 

  13. Barenblatt, G.I., Scaling Phenomena in Fatigue and Fracture, Int. J. Fracture, 2006, vol. 138, pp. 19–35.

    Article  MATH  Google Scholar 

  14. Barenblatt, G.I., Flow, Deformation and Fracture, Cambridge: Cambridge University Press, 2014.

    Book  MATH  Google Scholar 

  15. Botvina, L.R., Ivanskoy, V.A., Maloletnev, A.Ya., Lvov, Yu.B., and Novikov, I.I., Kinetic Regularities of Fracture of Carbon Steels under Cyclic Shock Loading, Probl. Prochn., 1986, no. 9, pp. 11–16.

    Google Scholar 

  16. Ciavarella, M., Paggi, M., and Carpinteri, A., One, No One, and One Hundred Thousand Crack Propagation Laws: A Generalized Barenblatt and Botvina Dimensional Analysis Approach to Fatigue Crack Growth, J. Mech. Phys. Solids, 2008, vol. 56, no. 12, pp. 3416–3432.

    ADS  MATH  Google Scholar 

  17. Forsyth, P.J.E., Fatigue Damage and Crack Growth in Aluminum Alloys, Acta Met., 1963, vol. 11, no. 7, pp. 703–715.

    Article  Google Scholar 

  18. Forsyth, P.J.E., Some Observation and Measurements on Mixed Fatigue–Tensile Crack Growth in Aluminum Alloys, Scripta Met., 1976, vol. 10, no. 5, pp. 383–386.

    Article  Google Scholar 

  19. Botvina, L.R., Limar, L.V., and Logovikov, B.S., Estimation of Parameters of the Jump–Like Growth of Fatigue Cracks in Compressor Blades of Titanium Alloy VT3–1, Fiz.–Khim. Mekh. Mat., 1981, no. 1, pp. 71–74.

    Google Scholar 

  20. Botvina, L.R., Kinetics of Fracture of StructuralMaterials, Moscow: Nauka, 1989.

    Google Scholar 

  21. Sadovskii, M.A., Hierarchical Distribution of Solid Materials, Preprint of the IPE RAS, Moscow, 1984, preprint no. 7.

    Google Scholar 

  22. Sadovskii, M.A., On the Natural Lumpiness of the Rock Structure, Dokl. AN USSR, 1979, vol. 247, pp. 829–840.

    Google Scholar 

  23. Bahat, D., Correlation between Fracture Surface Morphology and Orientation of Cross–Fold Joints in Eocene Chalks around Beer Sheva, Israel, Tectonophysics, 1987, vol. 136, pp. 323–333.

    Article  ADS  Google Scholar 

  24. Bahat, D., Tectonofractography, Berlin: Springer–Verlag, 1992.

    Google Scholar 

  25. Zhurkov, S.N., Kuksenko, V.S., and Slutsker, A.I., Formation of Submicroscopic Cracks in Polymers under Load, FTT, 1969, vol. 11, no. 1, pp. 296–302.

    Google Scholar 

  26. Botvina, L.R. and Soldatenkov, A.P., On the Concentration Criterion of Fracture, Metallofiz. Noveish. Tekhnol., 2017, vol. 39, no. 4, pp. 477–490.

    Article  Google Scholar 

  27. Botvina, L.R., Rotwain, I.M., Keilis–Borok, V.I., and Oparina, I.B., On the Character of the Gutenberg–Richter Relation on Different Stages of Damage Accumulation and Earthquake Generation, Rep. Russ. Acad. Science, 1995, vol. 345, pp. 809–812.

    Google Scholar 

  28. Rotwain, I.M., Keilis–Borok, V.I., and Botvina, L.R., Premonitory Transformation of Steel Fracturing and Seismicity, Phys. Earth Planetary Interiors, 1997, vol. 101, pp. 61–71.

    Article  ADS  Google Scholar 

  29. Botvina, L.R. and Petersen, T.B., On the Analogy of Acoustic and Seismic Modes at Various Stages of Fracture, Dokl. RAN, 2001, vol. 376, no. 3, pp. 331–334.

    Google Scholar 

  30. Botvina, L.R., Fracture: Kinetics, Mechanisms, General Laws, Moscow: Nauka, 2008.

    Google Scholar 

  31. Botvina, L.R., Fradkin, L.Ju., and Bridge, B.J., Power Laws and Generalised Dimensional Analysis in Ultrasonic NDE, Nondestr. Test. Eval., 1995, vol. 12, pp. 103–118.

    Article  Google Scholar 

  32. Botvina, L.R. and Michailov, A.V., Ultrasonic Method for Estimating Damages Accumulated in Conditions of Creep, Fatigue and Impact Loading, in Proc. 13th Euro. Conf. Fracture. Fracture Mechanics: Application and Challenges, 6–9 September, 2000, San Sebastian, Spain, Paper no. 106, pp. 1–5.

    Google Scholar 

  33. Andreeva, I.V., Radomyselskii, I.D., and Scherban, I.I., Investigation of Powder Compactibility, Porosh. Metallurg., 1975, no. 6, pp. 32–41.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Baikov Institute of Metallurgy and Materials Science, Russian Academy of Sciences, Moscow, 119334, Russia

    L. R. Botvina

Authors
  1. L. R. Botvina
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to L. R. Botvina.

Additional information

Russian Text © L.R. Botvina, 2018, published in Fizicheskaya Mezomekhanika, 2018, Vol. 21, No. 6.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Botvina, L.R. The Benefits and Challenges of Interdisciplinary Research. Phys Mesomech 22, 5–12 (2019). https://doi.org/10.1134/S102995991901003X

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S102995991901003X

Keywords

Search

Navigation