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Microstructure-Based Modeling of Deformation Processes


Traditional mathematical models for deformation processes usually assume material behavior independent of thermomechanical history. Their primary concern is the relationship of deformation forces to changes in geometry. This paper describes a more complete approach called microstructure-based modeling. The material behavior is assumed to relate to a small number of history-dependent parameters representing the most significant aspects of microstructure. The models are concerned not only with changes in geometry, but also with changes in product properties resulting from the changes in microstructure. Thus, the total approach involves the union of solid mechanics and materials science to provide a quantitative basis for the design of deformation processes to achieve controlled properties as well as shapes.

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  1. 1.

    V.M. Sample and L.A. Lalli, “Effects of Thermomechanical History on the Hardness of Aluminum,” Aluminum Technology ′86, March 11–13, 1986, London.

  2. 2.

    O. Richmond and R.E. Smelser, “A Constitutive Model for Ductile Materials Containing Voids,“ to be published.

  3. 3.

    O. Richmond and H.L. Morrison, “Streamlined Wire Drawing Dies of Minimum Length,” J. Mech. Phys. Solids, Vol. 15, 1967, pp. 195–203.

  4. 4.

    C.Y. Lu, E.J. Appleby, R.A. Rao, M.L. Devenpeck, P.K. Wright and O. Richmond, “A Numerical Solution of Strip Drawing Employing Measured Boundary Conditions Obtained with Transparent Sapphire,” Numerical Methods in Industrial Forming Process, Proc. Int. Conf., Swansea, 1982.

  5. 5.

    R.E. Smelser, “A Thermomechanically Coupled Analysis of Streamlined Die Extrusion Including Hardness Predictions,” Aluminum Technology ′86, March 11–13, 1986, London.

  6. 6.

    W.G. Fricke, Jr., M.A. Przystupa and F. Barlat, “Modeling Mechanical Properties from Crystallographic Texture (ODF) of Aluminum Alloys,” Aluminum Technology ′86, March 11–13, 1986, London.

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Additional information

O. Richmond received his Ph.D. in engineering mechanics from Pennsylvania State University in 1958. He is currently Corporate Fellow at Alcoa Laboratories, Alcoa Center, Pennsylvania.

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Richmond, O. Microstructure-Based Modeling of Deformation Processes. JOM 38, 16–18 (1986). https://doi.org/10.1007/BF03257863

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  • Constitutive Equation
  • Deformation Process
  • Microstructural Parameter
  • Tensile Ductility
  • Form Limit Diagram