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Office:
Stratton Hall, 108
Phone: +1-508-831-5241
Fax: +1-508-831-5824
vernescu@wpi.edu

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Bogdan M. Vernescu

• Department Head
• Professor, Mathematical Sciences

Combining theory with practice in educating students is at the core of WPI's philosophy. I find great pleasure in working with undergraduates and graduate students at the interface between mathematical theory and its applications.

My research has been mainly focused on using mathematical techniques for modeling multiscale phenomena, with an emphasis on the multiscale mechanics of heterogeneous materials. Whether natural (e.g., rocks, bones, tissues, muscles), or man-made (e.g., composite materials, ceramics, emulsions, electrorheological or magnetorheological materials), heterogeneous materials exhibit several scales in space and/or in time, caused by the inhomogeneities, or by the complexity of the mechanical processes. A major question is the derivation of the macroscale (effective) properties of the heterogeneous material as a function of the properties of the constituents and of the local geometry; an "averaging" over the microscales yields the macroscopic constitutive behavior. The associated partial differential equations, have highly oscillating coefficients, and this averaging translates into the convergence of the solutions.