Calculation of hydrogen concentrations near crack tips using the boundary element method

Xiaokun Liu, Judith Todd Copley, Jianjun Wang

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2 Citations (Scopus)

Abstract

Stress (strain)-induced hydrogen diffusion can be described theoretically by a partial differential equation with variable coefficients. In this paper, a special transformation is used to establish a boundary element method (BEM) to numerically simulate hydrogen diffusion in a specimen containing a crack . Calculations show that the hydrogen concentration in the plastic zone near a crack tip rises gradually with time. In metals, hydrogen diffuses continuously to the plastic zone, aggregates there, and, in the vicinity of the crack tip, may reach concentrations two orders of magnitude higher than the bulk concentration. Moreover, the hydrogen distribution in front of the crack tip varies with time. The peak hydrogen concentration moves gradually from the junction between the elastic and plastic zones to the crack tip. For a given time interval, multiple concentration peaks may occur, making it possible to form micro hydrogen embrittlement crevices in front of the crack tip. These results agree well with experimental observations of crack paths in the scanning electron microscope.

Original languageEnglish (US)
Pages (from-to)69-73
Number of pages5
JournalAmerican Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP
Volume336
StatePublished - Dec 1 1996

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Boundary element method
Crack tips
Hydrogen
Plastics
Cracks
Hydrogen embrittlement
Partial differential equations
Electron microscopes
Scanning
Metals

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

Cite this

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abstract = "Stress (strain)-induced hydrogen diffusion can be described theoretically by a partial differential equation with variable coefficients. In this paper, a special transformation is used to establish a boundary element method (BEM) to numerically simulate hydrogen diffusion in a specimen containing a crack . Calculations show that the hydrogen concentration in the plastic zone near a crack tip rises gradually with time. In metals, hydrogen diffuses continuously to the plastic zone, aggregates there, and, in the vicinity of the crack tip, may reach concentrations two orders of magnitude higher than the bulk concentration. Moreover, the hydrogen distribution in front of the crack tip varies with time. The peak hydrogen concentration moves gradually from the junction between the elastic and plastic zones to the crack tip. For a given time interval, multiple concentration peaks may occur, making it possible to form micro hydrogen embrittlement crevices in front of the crack tip. These results agree well with experimental observations of crack paths in the scanning electron microscope.",
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N2 - Stress (strain)-induced hydrogen diffusion can be described theoretically by a partial differential equation with variable coefficients. In this paper, a special transformation is used to establish a boundary element method (BEM) to numerically simulate hydrogen diffusion in a specimen containing a crack . Calculations show that the hydrogen concentration in the plastic zone near a crack tip rises gradually with time. In metals, hydrogen diffuses continuously to the plastic zone, aggregates there, and, in the vicinity of the crack tip, may reach concentrations two orders of magnitude higher than the bulk concentration. Moreover, the hydrogen distribution in front of the crack tip varies with time. The peak hydrogen concentration moves gradually from the junction between the elastic and plastic zones to the crack tip. For a given time interval, multiple concentration peaks may occur, making it possible to form micro hydrogen embrittlement crevices in front of the crack tip. These results agree well with experimental observations of crack paths in the scanning electron microscope.

AB - Stress (strain)-induced hydrogen diffusion can be described theoretically by a partial differential equation with variable coefficients. In this paper, a special transformation is used to establish a boundary element method (BEM) to numerically simulate hydrogen diffusion in a specimen containing a crack . Calculations show that the hydrogen concentration in the plastic zone near a crack tip rises gradually with time. In metals, hydrogen diffuses continuously to the plastic zone, aggregates there, and, in the vicinity of the crack tip, may reach concentrations two orders of magnitude higher than the bulk concentration. Moreover, the hydrogen distribution in front of the crack tip varies with time. The peak hydrogen concentration moves gradually from the junction between the elastic and plastic zones to the crack tip. For a given time interval, multiple concentration peaks may occur, making it possible to form micro hydrogen embrittlement crevices in front of the crack tip. These results agree well with experimental observations of crack paths in the scanning electron microscope.

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