Document Type



Master of Science (MS)


Mechanical Engineering

First Advisor's Name

Igor Tsukanov

First Advisor's Committee Title

Committee Chair

Second Advisor's Name

George Dulikravich

Third Advisor's Name

Arvind Agarwal


Meshfree Method

Date of Defense



In the presented thesis work, meshfree method with distance fields is applied to create a novel computational approach which enables inclusion of the realistic geometric models of the microstructure and liberates Finite Element Analysis(FEA) from the
dependance on and limitations of meshing of fine microstructural feature such as splats and porosity.
Manufacturing processes of ceramics produce materials with complex porosity microstructure.Geometry of pores, their size and location substantially affect macro scale physical properties of the material. Complex structure and geometry of the pores severely limit application of modern Finite Element Analysis methods because they require construction of spatial grids (meshes) that conform to the geometric shape of the structure. As a result, there are virtually no effective tools available for predicting overall mechanical and thermal properties of porous materials based on their microstructure. This thesis is a separate handling and controls of geometric and physical computational models that are seamlessly combined at solution run time. Using the proposed
approach we will determine the effective thermal conductivity tensor of real porous ceramic materials featuring both isotropic and anisotropic thermal properties. This work involved development and implementation of numerical algorithms, data structure, and software.





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