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Inclusion of evolutionary damage measures in Eulerian wavecodes. (English) Zbl 0735.73087

Summary: Most continuum descriptions of damage evolution generally require history-dependent material variables. The Lagrangian formulation of the continuum equations is the natural coordinate system for tracking material-history quantities. In numerical simulations of dynamic events such as in penetration and perforation of target plates by projectiles, the Lagrangian mesh can become severely compressed and distorted which effectively terminates advancing the solution in time. On the other hand, the Eulerian formulation, with its fixed coordinate system, does not suffer from mesh distortion. However, Eulerian descriptions usually follow only what crosses cell boundaries, and instead of computing the time history of material particles, they describe the average instantaneous state of a material in a computational zone. This paper describes the inclusion and evaluation of the history of equivalent plastic strain, which is a representative measure of damage, as an internal state variable within an Eulerian numerical framework. The formulation and method of advection of the equivalent plastic strain are described, and the results for two example problems are discussed and comparisons are made with the results of Lagrangian calculations.

MSC:

74S20 Finite difference methods applied to problems in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
74H99 Dynamical problems in solid mechanics
74R99 Fracture and damage

Software:

CSQII
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References:

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