Modeling the behavior of materials

Technical Report · Mon Mar 01 04:00:00 EST 1993

OSTI ID:6707657

Wilkins, M L

The first requirement in the calculation of problems in mechanics is a formulation of the material behavior. The material description should include elastic, elastic-plastic, and hydrodynamic flow. Literature includes many complicated forms to describe material behavior. However, since numerical techniques are considered here, the equations of motion are completely independent of equations that describe material behavior, and any mathematical form may be used. Objective of the material models is to provide a theoretical description applicable to a wide class of practical problems, but using simple idealizations of the outstanding features of the real phenomena. The problem of greatest present interest pertains to metal plasticity, so details for describing elastic-plastic material are presented. Formulation of this problem provides framework for sophisticated descriptions of material behavior. The mathematics has been organized so that departure can be made from the elastic perfectly plastic model without any change to the basic program that solves the equations of mechanics. Some of the material descriptions presented include dynamic yielding based on dislocation theory, work hardening, pressure, and temperature effects on material strength. Incremental plasticity is used so that large deformations with rotation are modeled.

• Research Organization: Lawrence Livermore National Lab., CA (United States)
• Sponsoring Organization: DOE; USDOE, Washington, DC (United States)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6707657
• Report Number(s): UCRL-ID-113198; ON: DE93010483
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360000 -- Materials
665000* -- Physics of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
DETONATIONS
DIFFERENTIAL EQUATIONS
ELASTICITY
EQUATIONS
EQUATIONS OF MOTION
FLOW STRESS
FRACTURE PROPERTIES
MATERIALS
MATHEMATICS
MECHANICAL PROPERTIES
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PLASTICITY
STRESSES
TENSILE PROPERTIES