Paper Title:
A New Perspective on the Mathematical Modeling of Highly Nonlinear Anisotropic Plastic Flows in a Heterogeneous Solid
  Abstract

A new mathematical formulation is presented for describing the three-dimensional anisotropic plastic flow behavior of a heterogeneous polycrystalline solid. By using three principal stresses, three loading orientation angles, and a generally non-quadratic, real-valued stress exponent, a mathematical theory of anisotropic plasticity is formulated as two coupled orthogonal series expansions in both the 3D principal stress space (the p–plane) and the 3D loading orientation space. A geometrical interpretation of the new mathematical representation of anisotropic plasticity is offered. Specific examples are given to illustrate the application of the proposed theory for modeling the plastic anisotropy of orthotropic polycrystalline sheets under uniaxial and biaxial tension.

  Info
Periodical
Solid State Phenomena (Volume 105)
Edited by
C. Esling, M. Humbert, R.A. Schwarzer and F. Wagner
Pages
271-276
DOI
10.4028/www.scientific.net/SSP.105.271
Citation
W. Tong, "A New Perspective on the Mathematical Modeling of Highly Nonlinear Anisotropic Plastic Flows in a Heterogeneous Solid ", Solid State Phenomena, Vol. 105, pp. 271-276, 2005
Online since
July 2005
Authors
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Oana Cazacu, Frédéric Barlat
537
Authors: Jun Feng Zhang, Tao Qi
Abstract:A 3D anisotropic elastoplastic-damage model was presented based on continuum damage mechanics theory. In this model, the tensor...
579
Authors: Shun Lai Zang, Lai Teng, Chen Guo
Abstract:The anisotropic plastic behavior of metallic sheet has a significant influence on spring-back, and is usually modeled by anisotropic yield...
1465
  | Authors: Roland Mücke
Abstract:Modern gas turbines utilize single crystal (SX) and directionally solidified (DS) nickel superalloys which hold a higher cyclic life...
363
Authors: Jin Yan Wang, Ji Xian Sun
Chapter 11: New Energy Vehicles, Electric Vehicles
Abstract:In most FEM codes, the isotropic-elastic & transversely anisotropic-elastoplastic model using Hill's yield function has been widely adopted...
3939