Improved boundary-integral equation method for time-dependent inelastic deformation in metals

Technical Report · Thu Feb 01 04:00:00 EST 1979

DOI:https://doi.org/10.2172/5940965· OSTI ID:5940965

Morjaria, M; Mukherjee, S

Efficient solution of boundary-value problems for time-dependent inelastic deformation in metallic structures are generally solved by finite element methods and separate descriptions for time-independent plasticity and time-dependent creep are normally used. The boundary-integral equation method was recently applied for the first time to such problems. A very efficient numerical implementation of the method with a linear description of the relevant variables over each boundary element and a newly developed Euler type time-integration scheme with automatic time-step control for time integration is presented. Numerical results for plates in plane stress with and without cutouts, under different loading histories, are presented. A combined creep-plasticity constitutive theory with state variables is used to model material behavior. The results are more accurate and are obtained with much less computational effort compared to a previous attempt with an uniform description of variables over each boundary element and a predictor--corrector scheme for time-integration. The computer program developed is quite general and can handle plane stress problems for plates of arbitrary shapes subjected to arbitrary time-histories of loadings. The numerical results presented in the paper are for certain illustrative problems.

• Research Organization: Cornell Univ., Ithaca, NY (USA). Dept. of Theoretical and Applied Mechanics
• OSTI ID: 5940965
• Report Number(s): COO-2733-20
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360103* -- Metals & Alloys-- Mechanical Properties
ALLOYS
BOUNDARY CONDITIONS
BOUNDARY-VALUE PROBLEMS
CHROMIUM ALLOYS
CHROMIUM STEELS
CHROMIUM-NICKEL STEELS
CORROSION RESISTANT ALLOYS
CREEP
DEFORMATION
ELASTICITY
ELEMENTS
HEAT RESISTANT MATERIALS
HEAT RESISTING ALLOYS
IRON ALLOYS
IRON BASE ALLOYS
MATERIALS
MATHEMATICAL MODELS
MECHANICAL PROPERTIES
METALS
NICKEL ALLOYS
PLASTICITY
PLATES
STAINLESS STEEL-304
STAINLESS STEELS
STEELS
STRESSES
TENSILE PROPERTIES
TIME DEPENDENCE