Computation for Rheological Phenomena of Elastic-Viscoplastic Body
Publication: Journal of Engineering Mechanics
Volume 125, Issue 1
Abstract
A computational method is proposed for simulating rheological phenomena of a body composed of a material such as soft soil, powder, and granular material under large excitations. These phenomena are considered to be elastic-viscoplastic (E-VP) flows with moving boundaries. Fundamental equations for the dynamics are constructed from the Eulerian viewpoint. The constitutive laws for pressure volume and deviatoric stress strain are E-VP and are expressed by differential equations. The pressure and deviatoric stress are combined to satisfy yield conditions. The equations construct the first-order partial differential equation system. A domain containing an E-VP body is divided into cells by applying a finite difference method to the partial differential equation system. The locations of markers distributed in the body are calculated to trace the moving free boundaries. The collapse of an E-VP square body is shown as an application example.
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Published In
Journal of Engineering Mechanics
Volume 125 • Issue 1 • January 1999
Pages: 11 - 18
History
Received: Dec 17, 1997
Published online: Jan 1, 1999
Published in print: Jan 1999
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