### Abstract

The effect of hydrogen on dislocationdashdislocation and dislocationdashimpurity atom interactions is studied under conditions where hydrogen is in equilibrium with local stresses and in systems where hydrogen increases the shear modulus. In the case of two edge dislocations (plane strain) the effect of hydrogen is modeled by a continuous distribution of dilatation lines whose strength depends on the local hydrogen concentration. The hydrogen distribution in the atmospheres is adjusted to minimize the energy of the system as the dislocations approach each other. The iterative finite element analysis used to calculate the hydrogen distribution accounts for the stress relaxation associated with the hydrogen induced volume and the elastic moduli changes due to hydrogen. The interactions between the dislocations are calculated accounting for all the stress fields due to dislocations and hydrogen atmospheres. Modeling of the hydrogen effects on the edge dislocationdashinterstitial solute atom interaction and on the screw dislocationdashinterstitial solute atom interaction is discussed using a finite element analysis and the atom interaction energies are calculated in the presence of hydrogen. For the case where hydrogen increases the shear modulus, a significant hydrogendashrelated decrease of the edge dislocationdashinterstitial solute atom interaction energy was observed when the edge dislocationdashsolute distance is approximately less than two Burgers vectors. Depending on the orientation of the tetragonal axis of the interstitial solute distortion field, hydrogen may strengthen or weaken the interaction between the screw dislocationdashinterstitial solute.

Original language | English |
---|---|

Pages (from-to) | 49-90 |

Number of pages | 42 |

Journal | Journal of the Mechanics and Physics of Solids |

Volume | 43 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1995 |

Externally published | Yes |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Condensed Matter Physics
- Mechanics of Materials
- Mechanical Engineering

### Cite this

**Mechanics of the hydrogendashdislocationdashimpurity interactions-I. Increasing shear modulus.** / Sofronis, Petros Athanasios; Birnbaum, H. K.

Research output: Contribution to journal › Article

*Journal of the Mechanics and Physics of Solids*, vol. 43, no. 1, pp. 49-90. https://doi.org/10.1016/0022-5096(94)00056-B

}

TY - JOUR

T1 - Mechanics of the hydrogendashdislocationdashimpurity interactions-I. Increasing shear modulus

AU - Sofronis, Petros Athanasios

AU - Birnbaum, H. K.

PY - 1995

Y1 - 1995

N2 - The effect of hydrogen on dislocationdashdislocation and dislocationdashimpurity atom interactions is studied under conditions where hydrogen is in equilibrium with local stresses and in systems where hydrogen increases the shear modulus. In the case of two edge dislocations (plane strain) the effect of hydrogen is modeled by a continuous distribution of dilatation lines whose strength depends on the local hydrogen concentration. The hydrogen distribution in the atmospheres is adjusted to minimize the energy of the system as the dislocations approach each other. The iterative finite element analysis used to calculate the hydrogen distribution accounts for the stress relaxation associated with the hydrogen induced volume and the elastic moduli changes due to hydrogen. The interactions between the dislocations are calculated accounting for all the stress fields due to dislocations and hydrogen atmospheres. Modeling of the hydrogen effects on the edge dislocationdashinterstitial solute atom interaction and on the screw dislocationdashinterstitial solute atom interaction is discussed using a finite element analysis and the atom interaction energies are calculated in the presence of hydrogen. For the case where hydrogen increases the shear modulus, a significant hydrogendashrelated decrease of the edge dislocationdashinterstitial solute atom interaction energy was observed when the edge dislocationdashsolute distance is approximately less than two Burgers vectors. Depending on the orientation of the tetragonal axis of the interstitial solute distortion field, hydrogen may strengthen or weaken the interaction between the screw dislocationdashinterstitial solute.

AB - The effect of hydrogen on dislocationdashdislocation and dislocationdashimpurity atom interactions is studied under conditions where hydrogen is in equilibrium with local stresses and in systems where hydrogen increases the shear modulus. In the case of two edge dislocations (plane strain) the effect of hydrogen is modeled by a continuous distribution of dilatation lines whose strength depends on the local hydrogen concentration. The hydrogen distribution in the atmospheres is adjusted to minimize the energy of the system as the dislocations approach each other. The iterative finite element analysis used to calculate the hydrogen distribution accounts for the stress relaxation associated with the hydrogen induced volume and the elastic moduli changes due to hydrogen. The interactions between the dislocations are calculated accounting for all the stress fields due to dislocations and hydrogen atmospheres. Modeling of the hydrogen effects on the edge dislocationdashinterstitial solute atom interaction and on the screw dislocationdashinterstitial solute atom interaction is discussed using a finite element analysis and the atom interaction energies are calculated in the presence of hydrogen. For the case where hydrogen increases the shear modulus, a significant hydrogendashrelated decrease of the edge dislocationdashinterstitial solute atom interaction energy was observed when the edge dislocationdashsolute distance is approximately less than two Burgers vectors. Depending on the orientation of the tetragonal axis of the interstitial solute distortion field, hydrogen may strengthen or weaken the interaction between the screw dislocationdashinterstitial solute.

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U2 - 10.1016/0022-5096(94)00056-B

DO - 10.1016/0022-5096(94)00056-B

M3 - Article

VL - 43

SP - 49

EP - 90

JO - Journal of the Mechanics and Physics of Solids

JF - Journal of the Mechanics and Physics of Solids

SN - 0022-5096

IS - 1

ER -