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A study has been made of constitutive relations for a time–dependent inelastic material within the framework of continuum thermodynamics, and of the heat conduction equation and transformation kinetics for processes involving phase transformations. Calculations of the stress, temperature, and structures of a half–spaced body, heated and cooled from the surface have been made using the finite element method, and are presented as an illustrative example. The effects of coupling between stress, temperature, and metallic structures, and of time dependence on the constitutive model for melting during welding are evaluated.MST/14
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Inoue et al. (1985) studied this question.
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