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A theoretical model for the electromagnetic radiation emission during plastic deformation and crack propagation in metallic materials

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Abstract

This paper presents a theoretical model for the electromagnetic radiation (EMR) emissions during plastic deformation and crack propagation in metallic materials. It is shown that under an externally applied stress, edge dislocations within the plastic zone ahead of a crack tip form accelerated electric line dipoles which give rise to the EMR emissions. The dynamic motion of these dislocations becomes overdamped, underdamped or critically damped, depending upon the material/microstructural properties such as mass per unit length of dislocation, line tension, damping coefficient, and distance between the dislocation pinning points. The nature of the EMR signals, viz. exponential decay or damped sinusoidal, is decided essentially by these damping characteristics. The EMR emissions are followed by crack propagation in metallic materials. The EMR has a continuous frequency spectrum with a frequency bandwidth ranging from 108 to 1012 radians s−1, depending upon the properties of the metals. Screw dislocations do not contribute to the EMR emissions. The paper also presents some experimental results on the EMR emissions in ASTM B265 grade 2 titanium sheets. The nature (damped sinusoidal and exponential decay), amplitude and frequency of the observed EMR emissions are in conformity with the predictions of the theoretical model.

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References

  • Bahat D, Frid V, Rabinovitch A and Palchik V (2002). Exploration via electromagnetic radiation and fractographic methods of fracture properties induced by compression in glass-ceramic. Int J Fract 116: 179–194

    Article  Google Scholar 

  • Berri BL (1986) Electromagnetic processes in water crystallization and ice failure. In: Problems of engineering glaciology. Nauka, Novosibirsk, pp 24–32

  • Berri BL and Gribov VA (1982). Radio irradiations of glaciers and snow avalanches. Materiali Glatsiologicheskih Issledovanii 44: 150–156

    Google Scholar 

  • Brown RA (1966). Electron distribution about an edge dislocation in a metal. Phys Rev 141: 568–572

    Article  ADS  Google Scholar 

  • Brown W, Schmidt M (2005) Electromagnetic Radiation from the high strain rate fracture of mild carbon-steel. In: 14th APS topical conference on shock compression of condensed matter. Baltimore, MD

  • Cottrell AH (1953). Dislocations and plastic flow in crystals. Clarendon Press, Oxford, 40

    MATH  Google Scholar 

  • Cottrell AH (1963). Fracture. Proc Roy Soc (London) A 276: 1–18

    Article  ADS  Google Scholar 

  • Derjaguin BV, Krotova NA and Smilga VP (1978). Adhesion of solids, vol 4. Consultant Bureau, London

    Google Scholar 

  • Dickinson JT and Jensen LC (1993). Fractoemission from high density polyethylene: bond-breaking versus tribological stimulation. J Appl Phys 73: 3047–3054

    Article  ADS  Google Scholar 

  • Dickinson JT, Jensen LC and Bhattacharya SK (1985). Fractoemission from the failure of metal/epoxy interface. J Vacuum Sci Technol A 3: 1398–1404

    Article  ADS  Google Scholar 

  • Dickinson JT, Jensen LC and Langford SC (1991). Atomic and molecular emission accompanying fracture of single crystal Ge: a dislocation driven process. Phys Rev Lett 66: 2120–2123

    Article  ADS  Google Scholar 

  • Evtushenko AA, Maeno N, Petrenko VF and Ryzhkin IA (1987). Pseudopiezoelectric effects in ice. J de Physique C 1(48): 109–114

    Google Scholar 

  • Fifolt DA, Petrenko VF, Schulson EM (1992) Electrical signals from cracks in ice. In: Maeno N (ed), Proceedings of VIII international symposium on physics and chemistry of ice. Sapporo

  • Fishbach DB and Nowick AS (1955). Creation of a potential difference across NaCl crystals by deformation. Phys Rev 98: 1543

    Google Scholar 

  • Frid V, Rabinovitch A and Bahat D (1999). Electromagnetic radiation associated with induced triaxial fracture in granite. Phil Mag Lett 79: 79–86

    Article  ADS  Google Scholar 

  • Frid V, Rabinovitch A and Bahat D (2003). Fracture induced electromagnetic radiation. J Phys D Appl Phys 36(13): 1620–1628

    Article  ADS  Google Scholar 

  • Frid V, Rabinovitch A and Bahat D (2006). Crack velocity measurement by induced electromagnetic radiation. Phys Lett A 356(2): 160–163

    Article  ADS  MATH  Google Scholar 

  • Fukui K, Okubo S and Terashima T (2005). Electromagnetic radiation from rock during uniaxial compression testing: the effects of rock characteristics and test conditions. Rock Mech Rock Eng 38(5): 411–423

    Article  Google Scholar 

  • Goldbaum J, Frid V, Rabinovitch A and Bahat D (2001). Int J Fract 111: L15–L20

    Article  Google Scholar 

  • Goncharov A, Korjakov V and Kuznetzov V (1980). Acoustic emission and electromagnetic radiation during uniaxial compression. DAN SSSR 255(4): 821–824

    Google Scholar 

  • Granato A and Lüke K (1956). Theory of mechanical damping due to dislocations. J Appl Phys 27(6): 583

    Article  MATH  ADS  Google Scholar 

  • Granato AV (1967) In: Rosenfield AR, Halm GT, Bement AL Jr, Jaffee RI (eds) Dislocation dynamics. Mc Graw-Hill Book Company, New York

  • Griffiths DJ (1995). Introduction to electrodynamics. Prentice Hall of India Pvt. Ltd., New Delhi

    Google Scholar 

  • Hertzberg RW (1996) Deformation and fracture mechanics of engineering materials. John Wiley & Sons, Inc

  • Hirth JP, Lothe J (1968) Theory of dislocations. McGraw-Hill Book Company, New York, pp 376–390

  • Jagasivamani V (1987) Some studies on electromagnetic and acoustic emission associated with deformation and fracture of metallic materials. Ph. D. dissertation, Indian Institute of Technology, Chennai, India

  • Jagasivamani V and Iyer KJ (1988). Electromagnetic emission during the fracture of heat treated spring steel. Mater Lett 6: 418–421

    Article  Google Scholar 

  • Kachurin LG, Andrusenko VYa, Loginov VB, Psalomshchikov VF, Ovanes’yan KK and Khar’kov AA (1988). Generation of electromagnetic fields by fracture of the ice cover of marine areas. Izv Atmos Ocean Phys 24: 815–817

    Google Scholar 

  • Kachurin LG, Salomshchikov VF and Stepanyuk IA (1983). Nonthermal radiation emission by deformed ice cover on water. Issledovaniye zemli iz kosmosa 8: 260–265

    Google Scholar 

  • Khatiashvili N (1984). The electromagnetic effect accompanying the fracturing of alkaline halide crystals and rocks. Izv Earth Phys 20: 656–661

    Google Scholar 

  • Knott JF (1973). Fundamentals of fracture mechanics. Butterworth & Comp. Pub. Ltd., London

    Google Scholar 

  • Kosevich AM (1979) Crystal dislocations and theory of elasticity. In: Nabarro FRN (ed) Dislocations in solids, vol 1. North-Holland Publishing Company, Amsterdam, pp 114–116

  • Kumar A and Misra A (2005). Shape anisotropy of magnetic field generation during tensile fracture in steel. J Magnetism Magnet Mater 285: 71–78

    Article  ADS  Google Scholar 

  • Kumar R and Misra A (2006a). Effect of processing parameters on the electromagnetic radiation emission during plastic deformation and crack propagation in copper-zinc alloys. J Zhejiang University Sci A (China) 7(11): 1800–1809

    Article  Google Scholar 

  • Kumar R, Misra A (2006b) Some basic aspects of electromagnetic radiation emission during plastic deformation and crack propagation in Cu–Zn alloys. Mater Sci Eng A (in press)

  • Landauer R (1954). Bound States in dislocations. Phys Rev 94: 1386–1388

    Article  ADS  Google Scholar 

  • Lavrov A (2005). Fracture-induced physical phenomena and memory effects in rocks: A review. Strain 41(4): 135–149

    Article  Google Scholar 

  • Lichtenberger M (2006). Underground measurements of electromagnetic radiation related to stress-induced fractures in the Odenwald Mountains (Germany). Pure Appl Geophy 163(8): 1661–1677

    Article  ADS  Google Scholar 

  • Mishra D and Misra A (1980). Stress-induced electromagnetic effect – a new biophysical application to head injury. Neurol India XXVIII: 234–241

    Google Scholar 

  • Misra A (1973). On the magnetism produced in unmagnetized iron specimens at breakage under tension. Indian J Pure Appl Phys 11: 419–422

    Google Scholar 

  • Misra A (1975a). Electromagnetic effects at metallic fracture. Nature (London) 254: 133–134

    Article  ADS  Google Scholar 

  • Misra A (1975b) Ninth yearbook to the encyclopedia of science and technology. Edizioni Scientific E Techniche, Mondadori, Italy

  • Misra A (1976) Discovery of stress-induced magnetic and electromagnetic effects in metals. D.Sc. Dissertation, Ranchi University

  • Misra A (1977). Theoretical study of the fracture-induced magnetic effect in ferromagnetic materials. Phys Lett 62A: 234–236

    ADS  Google Scholar 

  • Misra A (1978). A physical model for the stress-induced electromagnetic effect in metals. Appl Phys 16: 195–199

    Article  ADS  Google Scholar 

  • Misra A (1981). Stress-induced magnetic and electromagnetic effects in metals. J Scientific Indust Res 40: 22–23

    Google Scholar 

  • Misra A and Ghosh S (1980). Electron plasma model for the electromagnetic effect at metallic fracture. Indian J Pure Appl Phys 18: 851–856

    Google Scholar 

  • Misra A and Ghosh S (1981). Electromagnetic radiation characteristics during fatigue crack propagation and fracture. Appl Phys 23: 387–390

    Article  ADS  Google Scholar 

  • Misra A and Kumar A (2004). Some basic aspects of electromagnetic radiation during crack propagation in metals. Int J Fract 127: 387–401

    Article  Google Scholar 

  • Misra A and Varshney BG (1990). Can a stress alone applied to a demagnetized ferromagnetic specimen produce any magnetization. J Magnetism Magn Mater 89: 159–165

    Article  ADS  Google Scholar 

  • Molotskii MI (1989) Electronic excitation during the plastic deformation and fracture of crystals. Soviet Scientific Review Series Sec. B. Harwood Academic Publishers

  • Molotskii MI (1980). Dislocation mechanism for the Misra effect. Soviet Tech Phys Lett 6: 22–23

    Google Scholar 

  • Muthukumaran S, Kumar P, Pandey VK, Mukherjee SK (2007) A study on electromagnetic property during friction stir weld failure. Int J Advanced Manufact Technol (in press)

  • Nabarro FRN (1967) Theory of crystal dislocations. Oxford Clarendon Press

  • Nitsan V (1977). Electromagnetic emission accompanying fracture of quartz-bearing rocks. Geophys Res Lett 4: 333–336

    ADS  Google Scholar 

  • Nuti J (1977) Magnetic effects associated with the rupture of steel bars under tensile stress. M. S. Dissertation. Illinois Institute of Technology, Chicago, USA

  • Nuti J, Erber T and Guralnick SA (1976). Magnetic detection of crack initiation and propagation. Phys Lett 57A: 357–358

    ADS  Google Scholar 

  • O’Keefe SG, Thiel DV and Davey NP (2000). Fracture induced electromagnetic emissions in the mining industry. Int J Appl Electromagnet Mech 12(3–4): 203–209

    Google Scholar 

  • Perelman ME and Khatiashivli NG (1980). Electromagnetic radiation under joint formation and solid state brittle fracture. Bull Acad Sci Georgian SSR 99: 357–358

    Google Scholar 

  • Petrenko VF (1992) On the nature of electrical signals from cracks in ice. In: Maeno N (ed) Proceedings of VIII international symposium on physics and chemistry of ice. Sapporo

  • Petrenko VF (1993). On the nature of electrical polarization of materials caused by cracks – application to ice electromagnetic emission. Philos Mag B 67: 301–315

    Article  Google Scholar 

  • Rabinovitch A, Frid V and Bahat D (1998). Parametrization of electromagnetic radiation pulses obtained by triaxial fracture of granite samples. Phil Mag Lett 77: 289–293

    Article  ADS  Google Scholar 

  • Rabinovitch A, Frid V and Bahat D (1999). A note on the amplitude-frequency relation of electromagnetic radiation pulses induced by material failure. Phil Mag Lett 79: 195–200

    Article  ADS  Google Scholar 

  • Rabinovitch A, Frid V and Bahat D (2001). Gutenberg-Richter-type relation for laboratory fracture-induced electromagnetic radiation. Phys Rev E 65: 011401-1–011401-4

    Article  ADS  Google Scholar 

  • Rabinovitch A, Frid V, Bahat D and Goldbaum J (2003). Deacay mechanism of fracture induced electromagnetic pulses. J Appl Phys 93: 5085–5090

    Article  ADS  Google Scholar 

  • Reitz JR, Milford FJ and Christy RW (1979). Foundations of electromagnetic theory. Addison-wesley Publishing company Inc., Philippines

    Google Scholar 

  • Seeger A (1956). On the theory of the low-temperature internal friction peak observed in metals. Philos Mag 1: 651–652

    Article  ADS  Google Scholar 

  • Sneddon IN (1974). The use of integral transforms. Tata Mc Graw-Hill, New Delhi

    Google Scholar 

  • Srilakshmi B (2005) Investigations on the electromagnetic radiation during plastic deformation and crack propagation in metals. Ph. D. dissertation, Birla Institute of Technology, Ranchi, India

  • Srilakshmi B and Misra A (2005a). Secondary electromagnetic radiation during plastic deformation and crack propagation in uncoated and tin-coated plain-carbon steel. J Mater Sci 40: 6079–6086

    Article  ADS  Google Scholar 

  • Srilakshmi B and Misra A (2005b). Electromagnetic radiation during opening and shearing modes of fracture in commercially pure aluminium at elevated temperature. Mater Sci Eng A 404: 99–107

    Article  Google Scholar 

  • Srilakshmi B and Misra A (2005c). Effects of some fracture mechanics parameters on the emission of electromagnetic radiation from commercially pure aluminium. Manufact Technol Res Int J 1: 97–104

    Google Scholar 

  • Tudik AA and Valuev NP (1980). Electromagnetic emission during the fracture of metals. Soviet Tech Phys Lett 6: 37

    Google Scholar 

  • Vorob’ev AA (1977). Electromagnetic radiation in the process of crack formation in dielectrics. Defektoskopiya (USSR) 13: 128–129

    Google Scholar 

  • Warwick JW, Stoker C and Meyer TR (1982). Radio emission associated with rock failure. Possible application to the great Chilean earthquake of May 22, 1960. J Geophys Res 87: 2851–2859

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Department of Mechanical Engineering, Birla Institute of Technology, Mesra, Ranchi, 835 215, India

    Ashok Misra, Vishal Singh Chauhan & Bodduluru Srilakshmi

  2. Department of Electrical and Electronics Engineering, Birla Institute of Technology, Mesra, Ranchi, 835 215, India

    Ram Chandra Prasad

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  1. Ashok Misra
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  2. Ram Chandra Prasad
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  3. Vishal Singh Chauhan
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  4. Bodduluru Srilakshmi
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Correspondence to Vishal Singh Chauhan.

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Misra, A., Prasad, R.C., Chauhan, V.S. et al. A theoretical model for the electromagnetic radiation emission during plastic deformation and crack propagation in metallic materials. Int J Fract 145, 99–121 (2007). https://doi.org/10.1007/s10704-007-9107-0

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