Skip to main content
Log in

Mechanical Simulation Model for Acoustic Damage Monitoring in Polycrystalline Materials

  • Published:
Physical Mesomechanics Aims and scope Submit manuscript

Abstract

The paper proposes a mechanical simulation model based on continuum damage mechanics and physical mesomechanics to describe the accumulation of dispersed damages in polycrystalline materials, considering that the main damaging factors are dispersed microcracks and internal stresses produced primarily by linear structural defects. From the proposed model follows a statistical limit state criterion consistent with failure conditions for brittle and ductile structural materials. The limit state criterion is applied to several typical cases of failure and elastic-to-elastoplastic strain transition in polycrystalline structural materials. Based on the model, an acoustic approach to damage assessments of structural materials is also proposed. With the approach, several acoustic effects are identified from the propagation of elastic pulses in a damaged material. Such effects can be useful for instrumental damage assessment of materials (specimens, structural elements) at any time of loading or operation. The acoustic approach can provide a basis for a method of measuring the damage parameters included in the model. The experimental data available to us suggest that the proposed approach to damage assessment is correct for structural materials and is promising for further experimental research to develop instrumental express methods of monitoring dispersed damages in metal structures exposed to thermomechanical loads.

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

Access this article

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

Instant access to the full article PDF.

Fig. 1.
Fig. 2.
Fig. 3.

Similar content being viewed by others

REFERENCES

  1. Volkov, I.A. and Korotkikh, Yu.G., Equations of State of Damaged Viscoelastoplastic Media, Moscow: Fizmatlit, 2008.

  2. Volkov, I.A., Korotkikh, Yu.G., and Tarasov, I.S., Numerical Modeling of Damage Accumulation Under Complex Plastic Deformation, Comput. Contin. Mech., 2009, vol. 2, no. 1, pp. 5–18. https://doi.org/10.7242/1999-6691/2009.2.1.1

    Article  Google Scholar 

  3. Struzhanov, V.V., Volkov, S.S., and Volkova, S.S., Development of Microstructure Damage in Structurally Heterogeneous Materials under Deformation, Diagnost. Resource Mech. Mater. Struct., 2016, no. 3, pp. 21–30.

    Google Scholar 

  4. Kurmoyartseva, K.A., Multilevel Model of Damage Accumulation and Fracture in Polycrystalline Materials, Mat. Model. Estest. Nauk., 2016, vol. 1, pp. 181–185.

    Google Scholar 

  5. Volegov, P.S., Gribov, D.S., and Trusov, P.V., Damage and Fracture: Crystal Plasticity Models, Phys. Mesomech., 2017, vol. 20, no. 2, pp. 174–184. https://doi.org/10.1134/S1029959917020072

    Article  Google Scholar 

  6. Smirnov, A.N., Murav’ev, V.V., and Ababkov, N.V., Fracture and Diagnostics of Metals, Moscow: Innov. Mashinostroenie, Kemerovo: Sibir. Izd. Gruppa, 2016.

  7. Lubarda, V.A. and Krajcinovic, D., Some Fundamental Issues in Rate Theory of Damage–Elastoplasticity, Int. J. Plasticity, 1995, vol. 11(7), pp. 763–797. http://dx.doi.org/10.1016/S0749-6419(95)00029-1

    Article  Google Scholar 

  8. Bonora, N., Gentile, D., Pirondi, A., and Newaz, G., Ductile Damage Evolution under Triaxial State of Stress: Theory and Experiments, Int. J. Plasticity, 2005, vol. 21(5), pp. 981–1007.

    Article  Google Scholar 

  9. Voyiadjis, G.Z. and Park, T., Kinematics of Damage for Finite-Strain Elasto-Plastic Solids, Int. J. Eng. Sci., 1999, vol. 37(7), pp. 803–830.

    Article  Google Scholar 

  10. Kucher, V.N., Refinement of Parameters of the Model for Nonlocalized Damage Accumulation to Describe Deformation of the Steel 20, Strength Mater., 2010, vol. 42, pp. 735–745. https://doi.org/10.1007/s11223-010-9261-x

    Article  Google Scholar 

  11. Voyiadjis, G.Z., Micro and Macro Anisotropic Cyclic Damage-Plasticity Models for MMCS, Int. J. Eng. Sci., 1997, vol. 35, pp. 467–484.

    Article  Google Scholar 

  12. Rabotnov, Yu.N., Creep Problems in Structural Members, Amsterdam–London: North-Holland Publ. Co., 1969.

  13. Lemaitre, J., Damage Mechanics, Paris: The Bath Press, 1990.

  14. Khorshun, L.P., Principles of the Micromechanics of Material Damage, Int. J. Appl. Mech., 2007, vol. 43, no. 2, pp. 217–227.

    Article  ADS  Google Scholar 

  15. Shlyannikov, V.N. and Tumanov, A.V., Stress-and Strain-Based Models of Creep Damage Accumulation, Phys. Mesomech., 2019, vol. 22, no. 6, pp. 514–528. https://doi.org/10.1134/S1029959919060080

    Article  Google Scholar 

  16. Kuzin, N.O., A Mathematical Model Describing the Variation in Material Properties, Int. J. Appl. Mech., 2015, vol. 51, no. 4, pp. 474–479.

    Article  ADS  MathSciNet  Google Scholar 

  17. Volkov, S.D., Statistical Theory of Strength, New-York: Gordon and Breach, 1962.

  18. Kashtanov, A.V. and Petrov, Yu.V., Energy Approach to Determination of the Instantaneous Damage Level, Tech. Phys., 2006, vol. 51, pp. 604–608. https://doi.org/10.1134/S1063784206050100

    Article  Google Scholar 

  19. Shermergor, T.D., Theory of Elasticity of Microinhomogeneous Material, Moscow: Nauka, 1977.

  20. Khlybov, A.A. and Uglov, A.L., Experimental Study of Fatigue Damage Accumulation in Steel 08Cr18Ni10Ti under Low-Cycle Block Loading Using Acoustic Method, Fiz. Mezomekh., 2015, vol. 18, no. 6, pp. 111–115. https://doi.org/10.24411/1683-805X-2015-00073

    Article  Google Scholar 

  21. Uglov, A.L., Pichkov, S.N., Khlybov, A.A., and Betina, T.A., Determination of Yield Stress of Cyclic-Hardenable Steel 08Cr18Ni10Ti by Acoustic Method, Kontr. Diagnost., 2012, no. 7, pp. 64–68.

    Google Scholar 

  22. Uglov, A.L., Khlybov, A.A., Pichkov, S.N., and Shishulin, D.N., An Acoustic Method for Estimating the Thermal-Pulsation-Induced Damage in Austenitic Steel, Russ. J. Nondestr. Test., 2016, vol. 52, no. 2, pp. 53–59.

    Article  Google Scholar 

  23. Romanishin, R.I. and Romanishin, I.M., Assessment of Scattered Damage in Structural Materials, Russ. J. Nondestr. Test., 2019, vol. 55, pp. 111–121.

    Article  Google Scholar 

  24. Uglov, A.L., Erofeyev, V.I. and Smirnov, A.N., Acoustic Testing of Equipment During Manufacturing and Service, Moscow: Nauka, 2009.

  25. Semyonov, A.S., Polyanskiy, V.A., Shtukin, L.V., and Tretyakov, D.A., Effect of Surface Layer Damage on Acoustic Anisotropy, J. Appl. Mech. Tech. Phys., 2018, vol. 59, no. 6, pp. 1136–1144. https://doi.org/10.1134/S0021894418060202

    Article  ADS  MathSciNet  Google Scholar 

  26. Li, J. and Rokhlin, S.I., Elastic Wave Scattering in Random Anisotropic Solids, Int. J. Solids Struct., 2016, vol. 78–79, pp. 110–124.

    Article  Google Scholar 

  27. Van Pamel, A., Sha, G., Lowe, J.S., and Rokhlin, S.I., Numerical and Analytical Modelling of Elastodynamic Scattering within Polycrystalline Materials, J. Acoust. Soc. Am., 2018, vol. 143, pp. 2394–2408.

    Article  ADS  Google Scholar 

  28. Ryzy, M., Grabec, T., Sedlák, P., and Veres, I.A., Influence of Grain Morphology on Ultrasonic Wave Attenuation in Polycrystalline Media with Statistically Equiaxed Grains, J. Acoust. Soc. Am., 2018, vol. 143, pp. 219–229.

    Article  ADS  Google Scholar 

  29. Arguelles, A.P. and Turner, J.A., Ultrasonic Attenuation of Polycrystalline Materials with a Distribution of Grain Sizes, J. Acoust. Soc. Am., 2017, vol. 141, pp. 4347–4353.

    Article  ADS  Google Scholar 

Download references

Funding

The work was performed under RSF grant No. 19-19-00332-P.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. A. Khlybov.

Additional information

Translated from Fizicheskaya Mezomekhanika, 2023, Vol. 26, No. 2, pp. 106–114.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Khlybov, A.A., Uglov, A.L. & Ryabov, D.A. Mechanical Simulation Model for Acoustic Damage Monitoring in Polycrystalline Materials. Phys Mesomech 26, 459–465 (2023). https://doi.org/10.1134/S1029959923040070

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1029959923040070

Keywords:

Navigation