Elasticity in Microstructure Sensitive Design Through the use of Hill Bounds Elasticity in Microstructure Sensitive Design Through the use of Hill Bounds
Using Hill bounds, effective elastic properties are expressed within the spectral representation. For the elastic properties, two FCC materials, copper and nickel, were chosen for computation and to demonstrate how symmetry enters into the methodology. This spectral representation renders properties as hyper-surfaces that translate through a multi-dimensional Fourier space depending on the property value of the hyper-surface. Property closures are generated by condensing the information contained within the multi-dimensional Fourier space into a 2-D representation. This compaction of information is beneficial for a quick determination of property limits for a particular alloy system. The design engineer can now dictate the critical design properties and receive sets of microstructures that satisfy the design objectives.
School:Brigham Young University
School Location:USA - Utah
Source Type:Master's Thesis
Keywords:microstructure sensitive design elastic properties hill bounds microstructures hyper surfaces fourier space
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