Global analysis methods for the solution of the elastoplastic and viscoplastic dynamic problems

Technical Report · Thu Jul 08 04:00:00 EDT 1982

OSTI ID:6483503

Ortiz, M; Pinsky, P M

The elastoplastic dynamic problem is first formulated in a functional form that facilitates the application of the techniques of nonlinear semigroup theory. Existence and uniqueness of the solution is then proved by showing that the equations of motion define a contraction semigroup in an adequate Hilbert space. Product formulas are discussed that are seen to result in computationally efficient algorithms. Finally, the approximation of solutions by means of linear and nonlinear viscoplastic models is studied.

• Research Organization: California Univ., Berkeley (USA). Dept. of Civil Engineering
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6483503
• Report Number(s): UCRL-15522; ON: DE83009319
• Country of Publication: United States
• Language: English

Related Subjects

658000* -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
DIFFERENTIAL EQUATIONS
DYNAMICS
ELASTICITY
EQUATIONS
EQUATIONS OF MOTION
MATHEMATICAL LOGIC
MECHANICAL PROPERTIES
MECHANICS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
PLASTICITY
TENSILE PROPERTIES