Stability and accuracy of differencing schemes for viscoplastic models in wavecodes

Technical Report · Thu Feb 28 23:00:00 EST 1991

OSTI ID:5966023

Silling, S A

The numerical stability and truncation error of a family of differencing schemes for viscoplastic constitutive relations in wavecodes is investigated. A von Neumann stability analysis is performed for a one-dimensional model problem. This analysis identifies two differencing methods which have no restriction on the time step size beyond the usual Courant-Friedrichs-Lewy condition. One of these methods is first-order accurate, and the other is second-order accurate. Implementation of one of these methods in the three-dimensional wavecode CTH is discussed. 6 refs., 1 fig., 1 tab.

• Research Organization: Sandia National Labs., Albuquerque, NM (USA)
• Sponsoring Organization: DOE; USDOE, Washington, DC (USA)
• DOE Contract Number: AC04-76DP00789
• OSTI ID: 5966023
• Report Number(s): SAND-91-0141; ON: DE91011265
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360103* -- Metals & Alloys-- Mechanical Properties
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
ACCURACY
DIFFERENTIAL EQUATIONS
DUCTILITY
ELEMENTS
EQUATIONS
FINITE DIFFERENCE METHOD
ITERATIVE METHODS
MATHEMATICAL MODELS
MECHANICAL PROPERTIES
METALS
NUMERICAL SOLUTION
PLASTICITY
STABILITY
STRAIN RATE
STRAINS
STRESSES
TENSILE PROPERTIES
VISCOSITY