Development of new constitutive theories with an emphasis on wave propagation through mixtures with application to arctic ice-water mixtures

Abstract

The constitutive relations that are currently in use cannot adequately describe the response of many materials such as metallic alloys, colloids, suspensions and mixtures whose constituents chemically react. There is a need to rethink andsystematically develop implicit constitutive relations that relate the stress and its history, the relevant kinematical quantities and their histories, and other relevant variables and their histories. Such a program has been initiated recently and this effort needs to be pursued vigorously, and this grant addresses such a pursuit. Implicit constitutive relations will be developed both single constituent bodies as well as mixtures and initial-boundary value problems will be solved within such an approach. Specifically, the constitutive relations for mixtures will be used to study ice-water mixtures with a view towards understanding the response of arctic ice

Document Details

Document Type
DoD Grant Award
Publication Date
Sep 04, 2018
Source ID
N000141812742

Entities

People

  • Kumbakonam Ramamani Rajagopal

Organizations

  • Office of Naval Research
  • Texas Engineering Experiment Station
  • United States Navy

Tags

Readers

  • Combustion science or combustion engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Health Monitoring of Composite Structures.