Accession Number:

ADA172952

Title:

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

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Hrusa,William J.
• Renardy,Michael

Report Date:

1986-04-01

Pagination or Media Count:

28.0

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.

Descriptors:

• *BOUNDARY VALUE PROBLEMS
• *INCOMPRESSIBILITY
• ENERGY
• ELASTIC PROPERTIES
• ESTIMATES
• NONLINEAR SYSTEMS
• CONVERGENCE
• ITERATIONS

Subject Categories:

• Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE