An Existence Theorem for the Dirichlet Initial-Boundry Value Problem in Incompressible Nonlinear Elasticity.

Abstract

Many elastic materials, such as rudder, can be sugjected to large volume-preserving deformation, but show little compressibility. Such materials are often modelled as incompressible elastic solids. In this paper, the authors study the initial-boundary value problem for the differential equations describing such materials and prove that it is well-posed.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1986
Accession Number
ADA172952

Entities

People

  • Michael Renardy
  • William J. Hrusa

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Boundary Value Problems
  • Contracts
  • Differential Equations
  • Elastic Materials
  • Elastic Properties
  • Equations
  • Equations Of Motion
  • Formulas (Mathematics)
  • Incompressibility
  • Integrals
  • Materials
  • Mathematics
  • Military Research
  • Navier Stokes Equations
  • Notation
  • United States

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)