Nonlinear Analysis, Scientific Computation, and Continuum Mechanics Applied to the Science of Materials

Abstract

This grant enabled the department to form the Research Group in Mathematical Materials Science in 1990, a group that formed the nucleus of the Center for Nonlinear Analysis, established in 1991, by the ARO. The Center has created a vigorous environment for collaboration among mathematicians and allied scientists. Within the international mathematics community the Center has assumed a leadership role, especially for questions related to materials science. The major research effort has focused toward developing, analyzing, and unifying mathematical models that characterize material behavior at a phenomenological level. The main thrust is applied nonlinear analysis, nonlinear continuum physics, and scientific computation. The educational goals have been to train young scientists, and to train and involve female and minority students in the sciences. Applied analysis, Continuum mechanics, Materials sciences.

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Document Details

Document Type
Technical Report
Publication Date
Mar 09, 1993
Accession Number
ADA266641

Entities

People

  • Morton E. Gurtin
  • William O. Williams

Organizations

  • Carnegie Mellon University

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • Autonomy
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Applied Mathematics
  • Calculus Of Variations
  • Computational Science
  • Computations
  • Continuum Mechanics
  • Differential Equations
  • Equations
  • Materials Science
  • Mathematical Models
  • Mathematics
  • Mechanics
  • Models
  • Nonlinear Analysis
  • Partial Differential Equations
  • Phase Transformations
  • Scientists
  • Students

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • STEM Education
  • Technical Research and Report Writing.