The unified implicit elasto-viscoplastic algorithm for BEM analysis Y. Liu, H. Antes Institute for Applied Mechanics, T.U. BraunschweigD-38106, Braunschweig, Germany Abstract In elasto-viscoplastic analysis, the use of implicit time integration techniques is advantageous or even unavoidable. This paper, in terms of previous elasto- viscoplastic FEM and BEM research work, presents a unified implicit viscoplastic algorithm for non-linear BEM. The related expressions are proposed for the implicit analysis in a general material model governed by Tresca's, Von-Mises's, Mohr-Coulomb's, Drucker-Prager's, Zienkiewicz-Pande's (ellipse and hyperbola types) yield criteria. A unified formula of the viscoplastic strain rate matrix H is developed in a form which is particularly suitable for BEM implicit algorithm. Use of the implicit elasto-viscoplastic algorithm is illustrated by the solutions of numerical examples. 1. Introduction The increasing demand for integrity and reliability of structures in mechanical, civil, power and chemical engineerings, has stimulated the improvement of inelastic analysis methodologies. The elastio-viscoplastic material model has received much attention in computational mechanics for a long time. Early in 1970's, the viscoplastic model was widely used in finite element analyses, e.g. by Zienkiewicf and Owen et al [1-4] applying explicit and implicit schemes according to the constitutionalmodel proposed by Perzyna [5]. In recent years, the viscoplastic theories have been further developed with different algorithms in FEM [6-7]. Due to the general applicability of the viscoplastic model, the boundary element method (BEM) investigators have also applied itto many engineering problems [8-10], but the most applications of elasto-viscoplastic BEM use an explicit discretization in time dimension. When an implicit time discretization (permitting larger time steps) is used, the algorithm has been proved in FEM to be more stable than explicit scheme even if the problem will Transactions on Modelling and Simulation vol 12, © 1996 WIT Press, www.witpress.com, ISSN 1743-355X
The unified implicit elasto-viscoplastic algorithm for BEM analysis
Jun 30, 2023
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Related Documents
![An image-based method for modeling the elasto-plastic ... · microstructure. Extensions of the Taylor model to elasto-plastic [4], visco-plastic [5], and finite elasto-viscoplastic](https://static.cupdf.com/doc/110x72/5f1d0763daf4b82b9b0a0a49/an-image-based-method-for-modeling-the-elasto-plastic-microstructure-extensions.jpg)
