Accession Number:

ADA027896

Title:

A Method for Solving Boundary Value Problems and Shell Theory Without Assumptions.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Cheng,Shun

Report Date:

1976-05-01

Pagination or Media Count:

35.0

Abstract:

A method is presented from which not only three-dimensional problems may be solved, but also two-dimensional theories can be explicitly deduced from three-dimensional equations of theory of elasticity without employing assumptions. The axially symmetric problem of hollow cylinders of any length is treated herein for illustrative purpose. However, the method can be applied to general cases, different geometric configurations and other similar problems in mathematical physics. The method yields true stresses including transverse shear and normal stresses and refined shell equations.

Descriptors:

• *STRESSES
• *SHELLS(STRUCTURAL FORMS)
• *BOUNDARY VALUE PROBLEMS
• NUMERICAL ANALYSIS
• ELASTIC PROPERTIES
• PARTIAL DIFFERENTIAL EQUATIONS

Subject Categories:

• Numerical Mathematics
• Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE