Interpretation of flow instability using dynamic material modeling
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This work has been carried out as a part of the Reactor Pressure Boundary Materials Project under the Nuclear R&D Program by MOST in Korea.
According to DMM, this component is directly dissipated as heat. The complementary part of G, termed as the dissipator co-content (J ), is given by
REFERENCES
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Interpretation of Flow Instability Using Dynamic Material Modeling SUDIPTO GHOSH Dynamic material modeling (DMM)[1–7] aims to correlate the constitutive behavior with microstructural evolution, flow instability and hot workability. This approach applies some of the principles of irreversible thermodynamics to the continuum mechanics of large plastic flow. The model uses the concepts of systems engineering. The workpiece undergoing hot working is considered to be a nonlinear dissipator of power and its constitutive behavior describes the manner in which power is dissipated to the surroundings. The total power dissipated by the workpiece per unit volume, P, is given by P ⫽ ˙
[1]
where and ˙ are the flow stress and the strain rate, respectively. The area under the stress-strain rate curve (G) has been termed as the dissipator content and is given by SUDIPTO GHOSH, Scientist, is with the Process Modeling Group, Tata Research Development and Design, Centre, Pune 411013, India. Contact e-mail: [email protected] Manuscript submitted February 14, 2001. METALLURGICAL AND MATERIALS TRANSACTIONS A
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The co-content (J ) is first used in effecting microstructural transformations and subsequently released as heat. When the workpiece material follows the constitutive equation
⫽ K(˙ )m
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where m is the strain rate sensitivity and K is
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