ISSN:
1432-0924
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
Notes:
Abstract 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00370037
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