Date of Award

Spring 2001

Document Type


Degree Name

Doctor of Philosophy (PhD)


Mechanical & Aerospace Engineering


Engineering Mechanics

Committee Director

Chuh Mei

Committee Director

Norman F. Knight, Jr.

Committee Member

Gene J.-W. Hou

Committee Member

Donald L. Kunz

Committee Member

Ivatury S. Raju


Engineers are challenged to produce better designs in less time and for less cost. Hence, to investigate novel and revolutionary design concepts, accurate, high-fidelity data must be assimilated rapidly into the design, analysis and simulation process. This data assimilation should consider diverse mathematical modeling and multi-discipline interactions necessitated by concepts exploiting advanced materials and structures. Integrated high-fidelity methods with diverse engineering applications provide the enabling technologies to assimilate these high-fidelity, multi-disciplinary data rapidly at an early stage in the design. These integrated methods must be multifunctional, collaborative and applicable to the general field of engineering science and mechanics.

Multifunctional methodologies and analysis procedures are formulated for interfacing diverse domain idealizations including multi-fidelity modeling methods and multi-discipline analysis methods. These methods, based on the method of weighted residuals, ensure accurate compatibility of primary and secondary variables across the domain interfaces. Methods are developed for scalar-field and vector-field problems in engineering science with extensions to multidisciplinary problems. Results are presented for the scalar- and vector-field developments using example patch test problems. In addition, results for torsion, thermal, and potential flow problems are presented to demonstrate further the effectiveness of the scalar-field development. Results for plane stress and plane flow problems are presented for the vector-field development. Results for all problems presented are in overall good agreement with the exact analytical solution or the reference numerical solution.

The multifunctional methodology presented provides an effective mechanism by which domains with diverse idealizations are interfaced. This capability rapidly provides the high-fidelity data needed in the early design phase. Moreover, the capability is applicable to the general field of engineering science and mechanics. Hence, it provides a collaborative capability that accounts for interactions among engineering analysis methods.