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ASSOCIATED STRAIN AND STRESS FIELDS
4 other sections not shown
3T pL Alcoa analytical solutions Boundary Element Formulation boundary element method boundary integral equations change and moving CHAPTER constant melting temperature deviatoric diffusion equation domain integrals elastic equation 17 equation 32 equations 23 erfX exact solution experimental results Governing Differential Equations Green's function heat of fusion heat transfer problem high purity aluminum inital condition material properties mold surface moving boundaries Nondimensionalization nonelastic strain Numerical and analytical Numerical and experimental Numerical results Numerical solutions obtain T(x,t phase change results for temperatures right hand side shown in Figure side of equation solid-liquid interface solid/liquid solidification problem solution strategy step strain tensor stress analysis problem temperature dependence temperature profile temperatures at various thermal conductivity thermal contraction Thermal diffusivity thermoelastic problem thesis three-dimensional solidifying body transient heat equation transient temperature field Unidirectional solidification v v n variables various locations viscoplastic Young's modulus yy yy yy yy zz