Numerical integration of the hereditary integrals in a viscoelastic model for glass

Journal Article · Sat Aug 01 00:00:00 EDT 1992 · Journal of the American Ceramic Society; (United States)

DOI:https://doi.org/10.1111/j.1151-2916.1992.tb04486.x· OSTI ID:6916244

Chambers, R S ^[1]

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1. Sandia National Labs., Albuquerque, NM (United States)

In this paper, numerical schemes are developed to evaluate the integrals produced by the temporal discretization of the hereditary constitutive equations for a viscoelastic model of glass. Such schemes can be implemented in a material module of a finite element code to provide a general capability for analyzing residual stresses in complicated glass components subjected to nonuniform cooling histories. The robustness of the integration strategy increases the accuracy of a finite element stress analysis, lessens the need for discriminating time step controls, and can reduce the number of time steps required to generate accurate transient solutions incrementally.

• OSTI ID: 6916244
• Journal Information: Journal of the American Ceramic Society; (United States), Journal Name: Journal of the American Ceramic Society; (United States) Vol. 8; ISSN 0002-7820; ISSN JACTAW
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360606* -- Other Materials-- Physical Properties-- (1992-)
661300 -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
COMPUTER CODES
COOLING
ELASTICITY
EQUATIONS
FINITE ELEMENT METHOD
GLASS
INTEGRAL EQUATIONS
MECHANICAL PROPERTIES
NUMERICAL SOLUTION
RESIDUAL STRESSES
STRESS ANALYSIS
STRESSES
TENSILE PROPERTIES
THERMODYNAMICS
VISCOSITY