Skip to main content
OSTI.GOVU.S. Department of Energy Office of Scientific and Technical Information
U.S. Department of Energy
Office of Scientific and Technical Information
 

Boundary element formulation for planar time-dependent inelastic deformation of plates with cutouts

Technical Report ·
DOI:https://doi.org/10.2172/5129482· OSTI ID:5129482
;
A boundary element formulation for planar, time-dependent, inelastic deformation problems for bodies with cutouts is presented in this paper. A stress function description for these nonlinear problems leads to a nonhomogeneous biharmonic equation for the stress function rate. An integral representation of the solution uses modified kernels which guarantee that the cutout boundary is traction free for all time. This incorporation of the effect of the cutout on the stress field into the kernels leads to an accurate determination of stresses in the near field of the cutout. Illustrative analytical examples for circular plates with circular cutouts are presented in this paper. In a companion paper, numerical solutions are presented for problems of finite plates with very narrow elliptic cutouts. These problems are of considerable importance in inelastic fracture.
Research Organization:
Cornell Univ., Ithaca, NY (USA). Dept. of Theoretical and Applied Mechanics
Sponsoring Organization:
USDOE
DOE Contract Number:
AS02-76ER02733
OSTI ID:
5129482
Report Number(s):
DOE/ER/02733-26
Country of Publication:
United States
Language:
English

Similar Records

Numerical analysis of planar, time-dependent inelastic deformation of plates with cracks by the boundary element method
Technical Report · Thu Jan 31 23:00:00 EST 1980 · OSTI ID:5129471
Boundary element analysis of time-dependent inelastic deformation of cracked plates loaded in anti-plane shear
Technical Report · Tue Jul 01 00:00:00 EDT 1980 · OSTI ID:5129463
Vibration and buckling of laminated plates with a cutout in hygrothermal environment
Journal Article · Tue Sep 01 00:00:00 EDT 1992 · AIAA Journal (American Institute of Aeronautics and Astronautics); (United States) · OSTI ID:7165025

Related Subjects

42 ENGINEERING
420200* -- Engineering-- Facilities
Equipment
& Techniques
CONFIGURATION
CREEP
DEFORMATION
DIFFERENTIAL EQUATIONS
EQUATIONS
MATHEMATICAL MODELS
MECHANICAL PROPERTIES
OPENINGS
PLATES
STRESS ANALYSIS
TIME DEPENDENCE