Formulation and numerical integration of elastoplastic and elasto-viscoplastic rate constitutive equations

Technical Report · Sun Aug 01 04:00:00 EDT 1982

OSTI ID:7129869

Pinsky, P M; Pister, K S; Taylor, R L

Spatial rate constitutive equations for elastoplastic and elasto-viscoplastic materials are considered within a thermodynamic framework in which irreversible processes are characterized through the use of internal state variables and in which no restrictions on the magnitude of the deformation are imposed. The development employs an invariance principle which leads to a unique definition of the objective rate appearing in the rate constitutive equations. The elastic-plastic split of the deformation is introduced through a thermodynamic argument which leads to the additive decomposition of the spatial rate of deformation tensor. Following the development of the rate constitutive equations, a numerical algorithm is presented for their numerical integration. By employing product formula techniques, the proposed algorithm exploits the operator split of the spatial rate constitutive equations resulting from the additive decomposition of the rate of deformation tensor. The resulting algorithm is demonstrated to be unconditionally stable and incrementally objective. Finally, an efficient and very accurate implicit global algorithm for the numerical solution of the initial boundary value problem of linear momentum balance in conjunction with the product algorithm for the constitutive equations is proposed. Numerical examples illustrate the effectiveness of the procedure.

• Research Organization: Brown Univ., Providence, RI (USA). Div. of Engineering; California Univ., Berkeley (USA). Dept. of Civil Engineering
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 7129869
• Report Number(s): UCRL-15587; UCB/SESM-82/05; ON: DE84010991
• Country of Publication: United States
• Language: English

Related Subjects

656000* -- Condensed Matter Physics
658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ALGORITHMS
COMPUTER CALCULATIONS
DEFORMATION
ELASTICITY
EQUATIONS
MATHEMATICAL LOGIC
MECHANICAL PROPERTIES
NUMERICAL SOLUTION
PLASTICITY
TENSILE PROPERTIES
THERMODYNAMICS