Analysis of Composite Materials
Statistically homogeneous materials in which ellipsoidal shaped inclusions are distributed randomly in a matrix are analyzed. Application of the Eshelby's theory for a single inclusion to multiple inclusions.
Computer Algebra applications
Using symbolic capable software such as REDUCE and Mathematica to solve problems which were not possible by paper and pencil (and elbow) before.
Mathematical tools for the above subjects. Numerical Green's functions
and derivation of failure criteria based on detailed stress fields.
Functionally Graded Materials
Analysis of functionally graded materials (FGMs) which have promising future in aerospace/medical/electronics applications.