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Effect of the Loading Rate on the Brittle Fracture of Terfenol-D Specimens in Magnetic Field: Strain Energy Density Approach

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Strength of Materials Aims and scope

The aim of the present study is to characterize the fracture behavior of the giant magnetostrictive Terfenol-D alloy, both experimentally and numerically. Three-point bending tests have been carried out on single-edge precracked specimens, and fracture loads have been measured at different loading rates, in the presence or absence of a magnetic field. In recent years, it has been shown that the strain energy density (SED), averaged in a finite control volume, can successfully predict brittle failures of cracked, U- and V-notched specimens made of several materials. By performing coupled-field finite element analyses, the effects of the magnetic field and he loading rate on Terfenol-D failures have been analyzed, and the capability of SED criterion to capture these effects has been discussed. A relationship between the SED control volume size and the loading rate has been proposed, and failures have been quite accurately predicted in terms of the averaged SED.

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Abbreviations

a :

crack depth for cracked specimens

B :

magnetic induction vector

B i :

ith component of the magnetic induction

d kij :

magnetoelastic constants

E :

the Young modulus

G :

strain energy release rate

G c :

critical strain energy release rate

h :

thickness of the specimen

H :

intensity vector of the magnetic field

H i :

ith component of the intensity vector of the magnetic field

J :

J-integral value

l :

length of the specimen

K I :

Mode I stress intensity factor

K Ic :

material fracture toughness

n :

exit path normal

R c :

radius of the control volume

s H ijkl :

elastic compliance

T :

surface tension vector

u :

displacement vector

u i :

ith component of the displacement vector

w :

width of the specimen

W :

strain energy density

\( \overline{W} \) :

averaged strain energy density

W c :

critical strain energy

W m :

magnetic enthalpy

ε:

strain tensor

ε ij :

ijth component of the strain tensor

μ T ij :

magnetic permittivity

ν:

Poisson’s ratio

σ:

the Cauchy stress tensor

σ ij :

ijth component of the stress tensor

σ t :

tensile strength

φ:

magnetic potential

Ω:

area of the control volume

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Authors and Affiliations

  1. Department of Management and Engineering, University of Padua, Vicenza, Italy

    M. Colussi

  2. Department of Engineering Design and Materials, Norwegian University of Science and Technology (NTNU), Trondheim, Norway

    F. Berto

  3. Department of Mechanical Engineering, Ibaraki University, Hitachi, Japan

    K. Mori

  4. Department of Material Processing, Tohoku University, Sendai, Japan

    F. Narita

Authors
  1. M. Colussi
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  2. F. Berto
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  3. K. Mori
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  4. F. Narita
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Corresponding author

Correspondence to F. Berto.

Additional information

Translated from Problemy Prochnosti, No. 6, pp. 73 – 83, November – December, 2016.

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Colussi, M., Berto, F., Mori, K. et al. Effect of the Loading Rate on the Brittle Fracture of Terfenol-D Specimens in Magnetic Field: Strain Energy Density Approach. Strength Mater 48, 791–800 (2016). https://doi.org/10.1007/s11223-017-9826-z

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  • DOI: https://doi.org/10.1007/s11223-017-9826-z

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